THE EVOLUTION OF STOCK MARKET EFFICIENCY OVER TIME: A SURVEY OF THE EMPIRICAL LITERATURE

Journal of Economic Surveys - Tập 25 Số 1 - Trang 69-108 - 2011
Kian−Ping Lim1, Robert D. Brooks2
1Universiti Malaysia Sabah and Monash University
2Monash University

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Abhyankar, 1995, Nonlinear dynamics in real-time equity market indices: evidence from the United Kingdom, Economic Journal, 105, 864, 10.2307/2235155

Abhyankar, 1997, Uncovering nonlinear structure in real-time stock-market indexes: the S&P 500, the DAX, the Nikkei 225, and the FTSE-100, Journal of Business and Economic Statistics, 15, 1, 10.2307/1392068

Alagidede, 2009a, Calendar anomalies in the Ghana Stock Exchange, Journal of Emerging Market Finance, 8, 1, 10.1177/097265270900800101

Alagidede, 2009b, Modelling stock returns in Africa's emerging equity markets, International Review of Financial Analysis, 18, 1, 10.1016/j.irfa.2009.02.001

Alexander, 2008, The effect of price tests on trader behavior and market quality: an analysis of Reg SHO, Journal of Financial Markets, 11, 84, 10.1016/j.finmar.2007.06.002

Al-Khazali, 2007, A new variance ratio test of random walk in emerging markets: a revisit, Financial Review, 42, 303, 10.1111/j.1540-6288.2007.00173.x

Alvarez-Ramirez, 2008, Time-varying Hurst exponent for US stock markets, Physica A, 387, 6159, 10.1016/j.physa.2008.06.056

Amihud, 1987, Trading mechanisms and stock returns: an empirical investigation, Journal of Finance, 42, 533, 10.2307/2328369

Ammermann, 2003, The cross-sectional and cross-temporal universality of nonlinear serial dependencies: evidence from world stock indices and the Taiwan Stock Exchange, Pacific-Basin Finance Journal, 11, 175, 10.1016/S0927-538X(02)00113-0

Anatolyev, 2009, Nonparametric retrospection and monitoring of predictability of financial returns, Journal of Business and Economic Statistics, 27, 149, 10.1198/jbes.2009.0010

Anatolyev, 2005, A trading approach to testing for predictability, Journal of Business and Economic Statistics, 23, 455, 10.1198/073500104000000640

Andreou, 2001, On modelling speculative prices: the empirical literature, Journal of Economic Surveys, 15, 187, 10.1111/1467-6419.00136

Antoniou, 1997, Market efficiency, thin trading and non-linear behaviour: evidence from an emerging market, European Financial Management, 3, 175, 10.1111/1468-036X.00038

Ashley, 2006, Evaluating the effectiveness of state-switching time series models for U.S. real output, Journal of Business and Economic Statistics, 24, 266, 10.1198/073500105000000216

Ashley, 1986, A diagnostic test for nonlinear serial dependence in time series fitting errors, Journal of Time Series Analysis, 7, 165, 10.1111/j.1467-9892.1986.tb00500.x

Assaf, 2006, Dependence and mean reversion in stock prices: the case of the MENA region, Research in International Business and Finance, 20, 286, 10.1016/j.ribaf.2005.05.004

Assaf, 2008, Long memory in international equity markets: revisited, Applied Financial Economics Letters, 4, 433, 10.1080/17446540701765282

Baillie, 1996, Long memory processes and fractional integration in econometrics, Journal of Econometrics, 73, 5, 10.1016/0304-4076(95)01732-1

Barkoulas, 1996, Long-term dependence in stock returns, Economics Letters, 53, 253, 10.1016/S0165-1765(96)00935-4

Barkoulas, 1998, Chaos in an emerging capital market? The case of the Athens Stock Exchange, Applied Financial Economics, 8, 231, 10.1080/096031098332998

Barkoulas, 2000, Long memory in the Greek stock market, Applied Financial Economics, 10, 177, 10.1080/096031000331815

Barnett, 2000, Martingales, nonlinearity, and chaos, Journal of Economic Dynamics and Control, 24, 703, 10.1016/S0165-1889(99)00023-8

Barnett, 1997, A single-blind controlled competition among tests for nonlinearity and chaos, Journal of Econometrics, 82, 157, 10.1016/S0304-4076(97)00081-X

Basu, 2000, Liberalization and stock prices in emerging markets, Emerging Markets Quarterly, 4, 7

Batten, 2008, Sample period selection and long-term dependence: new evidence from the Dow Jones index, Chaos, Solitons and Fractals, 36, 1126, 10.1016/j.chaos.2006.08.013

Beaver, 1981, Market efficiency, Accounting Review, 56, 23

Beny, 2007, Insider trading laws and stock markets around the world: an empirical contribution to the theoretical law and economics debate, Journal of Corporation Law, 32, 237

Black, 1986, Noise, Journal of Finance, 41, 529, 10.2307/2328481

Blake, 2007, Testing for ARCH in the presence of nonlinearity of unknown form in the conditional mean, Journal of Econometrics, 137, 472, 10.1016/j.jeconom.2005.08.007

Boehmer, 2009, Institutional investors and the informational efficiency of prices, Review of Financial Studies, 22, 3563, 10.1093/rfs/hhp028

Boehmer , E. Wu , J.J. 2009 Short selling and the informational efficiency of prices http://ssrn.com/abstract=972620

Bonilla, 2006, Episodic nonlinearity in Latin American stock market indices, Applied Economics Letters, 13, 195, 10.1080/13504850500392750

Boudoukh, 1994, A tale of three schools: insights on autocorrelations of short-horizon stock returns, Review of Financial Studies, 7, 539, 10.1093/rfs/7.3.539

Boudoukh, 2008, The myth of long-horizon predictability, Review of Financial Studies, 21, 1577, 10.1093/rfs/hhl042

Box, 1970, Times Series Analysis, Forecasting and Control

Brillinger, 1967, Spectral Analysis of Time Series, 189

Bris, 2007, Efficiency and the bear: short sales and markets around the world, Journal of Finance, 62, 1029, 10.1111/j.1540-6261.2007.01230.x

Brock, 1998, Heterogeneous beliefs and routes to chaos in a simple asset pricing model, Journal of Economic Dynamics and Control, 22, 1235, 10.1016/S0165-1889(98)00011-6

Brock, 1991, Nonlinear Dynamics, Chaos, and Instability: Statistical Theory and Economic Evidence

Brock, 1996, A test for independence based on the correlation dimension, Econometric Reviews, 15, 197, 10.1080/07474939608800353

Brockett, 1988, Bispectral-based tests for the detection of Gaussianity and linearity in time series, Journal of the American Statistical Association, 83, 657, 10.2307/2289288

Brooks, 2008, Estimation and analysis of the Hurst exponent for Australian stocks using wavelet analysis, Applied Financial Economics Letters, 4, 41, 10.1080/17446540701367444

Cajueiro, 2004a, Evidence of long range dependence in Asian equity markets: the role of liquidity and market restrictions, Physica A, 342, 656, 10.1016/j.physa.2004.05.034

Cajueiro, 2004b, The Hurst exponent over time: testing the assertion that emerging markets are becoming more efficient, Physica A, 336, 521, 10.1016/j.physa.2003.12.031

Cajueiro, 2004c, Ranking efficiency for emerging markets, Chaos, Solitons and Fractals, 22, 349, 10.1016/j.chaos.2004.02.005

Cajueiro, 2005a, Ranking efficiency for emerging equity markets II, Chaos, Solitons and Fractals, 23, 671, 10.1016/j.chaos.2004.05.009

Cajueiro, 2005b, The rescaled variance statistic and the determination of the Hurst exponent, Mathematics and Computers in Simulation, 70, 172, 10.1016/j.matcom.2005.06.005

Cajueiro, 2005c, Testing for long range dependence in banking equity indices, Chaos, Solitons and Fractals, 26, 1423, 10.1016/j.chaos.2005.03.026

Cajueiro, 2005d, Testing for time-varying long-range dependence in volatility for emerging markets, Physica A, 346, 577, 10.1016/j.physa.2004.08.030

Cajueiro, 2006, Testing for predictability in equity returns for European transition markets, Economic Systems, 30, 56, 10.1016/j.ecosys.2005.09.003

Cajueiro, 2007, Time-varying long-range dependence in US interest rates, Chaos, Solitons and Fractals, 34, 360, 10.1016/j.chaos.2006.04.012

Cajueiro, 2008, Testing for time-varying long-range dependence in real state equity returns, Chaos, Solitons and Fractals, 38, 293, 10.1016/j.chaos.2006.11.023

Cajueiro, 2009, Does financial market liberalization increase the degree of market efficiency? The case of the Athens stock exchange, International Review of Financial Analysis, 18, 50, 10.1016/j.irfa.2008.11.004

Campbell, 2008, Predicting excess stock returns out of sample: can anything beat the historical average, Review of Financial Studies, 21, 1509, 10.1093/rfs/hhm055

Campbell, 1997, The Econometrics of Financial Markets, 10.1515/9781400830213

Caner, 2001, Threshold autoregression with a unit root, Econometrica, 69, 1555, 10.1111/1468-0262.00257

Chakraborty, 2006, Market efficiency for the Pakistan stock market: evidence from the Karachi Stock Exchange, South Asia Economic Journal, 7, 67, 10.1177/139156140500700104

Chan, 1990, On likelihood ratio tests for threshold autoregression, Journal of the Royal Statistical Society B, 52, 469

Chang, 2000, A variance ratio test of the random walk hypothesis for Taiwan's stock market, Applied Financial Economics, 10, 525, 10.1080/096031000416406

Chappell, 2005, Using the correlation dimension to detect non-linear dynamics: evidence from the Athens Stock Exchange, Finance Letters, 3, 29

Charles, 2009a, The random walk hypothesis for Chinese stock markets: evidence from variance ratio tests, Economic Systems, 33, 117, 10.1016/j.ecosys.2008.09.003

Charles, 2009b, Variance-ratio tests of random walk: an overview, Journal of Economic Surveys, 23, 503, 10.1111/j.1467-6419.2008.00570.x

Chelley-Steeley, 2001, Opening returns, noise, and overreaction, Journal of Financial Research, 24, 513, 10.1111/j.1475-6803.2001.tb00828.x

Chelley-Steeley, 2003, The trading mechanism, cross listed stocks: a comparison of the Paris Bourse and SEAQ-International, Journal of International Financial Markets, Institutions and Money, 13, 401, 10.1016/S1042-4431(03)00014-3

Chelley-Steeley, 2005, Explaining volatility and serial correlation in opening and closing returns: a study of the FT-30 components, Global Finance Journal, 16, 1, 10.1016/j.gfj.2005.05.004

Chelley-Steeley, 2008, Market quality changes in the London Stock Market, Journal of Banking and Finance, 32, 2248, 10.1016/j.jbankfin.2007.12.049

Chelley-Steeley, 2008, The microstructure of the Irish Stock Market, Multinational Finance Journal, 12, 279, 10.17578/12-3/4-6

Chen, 2003, Testing serial independence against time irreversibility, Studies in Nonlinear Dynamics and Econometrics, 7

Chen, 2006, The variance ratio statistic at large horizons, Econometric Theory, 22, 206, 10.1017/S0266466606060099

Chen, 2000, Testing time reversibility without moment restrictions, Journal of Econometrics, 95, 199, 10.1016/S0304-4076(99)00036-6

Chen, 2005, A note on price limit performance: the case of illiquid stocks, Pacific-Basin Finance Journal, 13, 81, 10.1016/j.pacfin.2004.05.002

Cheong, 2007, Asymmetry and long-memory volatility: some empirical evidence using GARCH, Physica A, 373, 651, 10.1016/j.physa.2006.05.050

Cheung, 1995, A search for long memory in international stock market returns, Journal of International Money and Finance, 14, 597, 10.1016/0261-5606(95)93616-U

Chordia, 2008, Liquidity and market efficiency, Journal of Financial Economics, 87, 249, 10.1016/j.jfineco.2007.03.005

Chou, 2007, Sources of contrarian profits in the Japanese stock market, Journal of Empirical Finance, 14, 261, 10.1016/j.jempfin.2006.07.003

Chow, 1993, A simple multiple variance ratio test, Journal of Econometrics, 58, 385, 10.1016/0304-4076(93)90051-6

Christodoulou-Volos, 2006, Long range dependence in stock market returns, Applied Financial Economics, 16, 1331, 10.1080/09603100600829519

Cochrane, 2008, The dog that did not bark: a defense of return predictability, Review of Financial Studies, 21, 1533, 10.1093/rfs/hhm046

Costa, 2003, Long-range correlations and nonstationarity in the Brazilian stock market, Physica A, 329, 231, 10.1016/S0378-4371(03)00607-1

Cutler, 1989, What moves stock prices, Journal of Portfolio Management, 15, 4, 10.3905/jpm.1989.409212

Dacorogna, 2001, Defining efficiency in heterogeneous markets, Quantitative Finance, 1, 198, 10.1080/713665666

Daniel, 1999, Market efficiency in an irrational world, Financial Analysts Journal, 55, 28, 10.2469/faj.v55.n6.2312

Daouk, 2006, Capital market governance: how do security laws affect market performance, Journal of Corporate Finance, 12, 560, 10.1016/j.jcorpfin.2005.03.003

Degiannakis, 2008, Rolling-sampled parameters of ARCH and Levy-stable models, Applied Economics, 40, 3051, 10.1080/00036840600994039

De Gooijer, 1989, Testing non-linearities in world stock market prices, Economics Letters, 31, 31, 10.1016/0165-1765(89)90107-9

Deo, 2000, Spectral tests of the martingale hypothesis under conditional heteroscedasticity, Journal of Econometrics, 99, 291, 10.1016/S0304-4076(00)00027-0

van Dijk, 1999, Testing for smooth transition nonlinearity in the presence of outliers, Journal of Business and Economic Statistics, 17, 217, 10.2307/1392477

Di Matteo, 2007, Multi-scaling in finance, Quantitative Finance, 7, 21, 10.1080/14697680600969727

Di Matteo, 2005, Long-term memories of developed and emerging markets: using the scaling analysis to characterize their stage of development, Journal of Banking and Finance, 29, 827, 10.1016/j.jbankfin.2004.08.004

Domínguez, 2003, Testing the martingale difference hypothesis, Econometric Reviews, 22, 351, 10.1081/ETC-120025895

Durlauf, 1991, Spectral based testing of the martingale hypothesis, Journal of Econometrics, 50, 355, 10.1016/0304-4076(91)90025-9

Easley, 1997, The information content of the trading process, Journal of Empirical Finance, 4, 159, 10.1016/S0927-5398(97)00005-4

Elder, 2007, On fractional integrating dynamics in the US stock market, Chaos, Solitons and Fractals, 34, 777, 10.1016/j.chaos.2006.04.004

Emerson, 1997, Evolving market efficiency with an application to some Bulgarian shares, Economics of Planning, 30, 75, 10.1023/A:1003053807165

Engle, 1982, Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation, Econometrica, 50, 987, 10.2307/1912773

Eom, 2008a, Hurst exponent and prediction based on weak-form efficient market hypothesis of stock markets, Physica A, 387, 4630, 10.1016/j.physa.2008.03.035

Eom, 2008b, Relationship between efficiency and predictability in stock price change, Physica A, 387, 5511, 10.1016/j.physa.2008.05.059

Escanciano, 2006a, Generalized spectral tests for the martingale difference hypothesis, Journal of Econometrics, 134, 151, 10.1016/j.jeconom.2005.06.019

Escanciano, 2006b, Testing the martingale difference hypothesis using integrated regression functions, Computational Statistics and Data Analysis, 51, 2278, 10.1016/j.csda.2006.07.039

Fair, 2002, Events that shook the market, Journal of Business, 75, 713, 10.1086/341640

Fair, 2003, Shock effects on stocks, bonds, and exchange rates, Journal of International Money and Finance, 22, 307, 10.1016/S0261-5606(02)00100-6

Fama, 1965, The behavior of stock-market prices, Journal of Business, 38, 34, 10.1086/294743

Fama, 1970, Efficient capital markets: a review of theory and empirical work, Journal of Finance, 25, 383, 10.2307/2325486

Fama, 1991, Efficient capital markets: II, Journal of Finance, 46, 1575, 10.2307/2328565

Fama, 1998, Market efficiency, long-term returns, and behavioral finance, Journal of Financial Economics, 49, 283, 10.1016/S0304-405X(98)00026-9

Farmer, 2002, Market force, ecology and evolution, Industrial and Corporate Change, 11, 895, 10.1093/icc/11.5.895

Farmer, 1999, Frontiers of finance: evolution and efficient markets, Proceedings of the National Academy of Sciences, 96, 9991, 10.1073/pnas.96.18.9991

Fernandes, 2009, Insider trading laws and stock price informativeness, Review of Financial Studies, 22, 1845, 10.1093/rfs/hhn066

Fifield, 2008, Further evidence on the efficiency of the Chinese stock markets: a note, Research in International Business and Finance, 22, 351, 10.1016/j.ribaf.2008.02.002

Fleming, 1997, What moves the bond market, Federal Reserve Bank of New York Economic Policy Review, 3, 31

Freund, 2000, Market efficiency in specialist markets before and after automation, Financial Review, 35, 79, 10.1111/j.1540-6288.2000.tb01422.x

Freund, 1997, Market efficiency before and after the introduction of electronic trading at the Toronto stock exchange, Review of Financial Economics, 6, 29, 10.1016/S1058-3300(97)90013-6

Füss, 2005, Financial liberalization and stock price behaviour in Asian emerging markets, Economic Change and Restructuring, 38, 37, 10.1007/s10644-005-4522-6

Genest, 2007, Rank-based extensions of the Brock, Dechert, and Scheinkman test, Journal of the American Statistical Association, 102, 1363, 10.1198/016214507000001076

Geweke, 1983, The estimation and application of long memory time series models, Journal of Time Series Analysis, 4, 221, 10.1111/j.1467-9892.1983.tb00371.x

Gil-Alana, 2006, Fractional integration in daily stock market indexes, Review of Financial Economics, 15, 28, 10.1016/j.rfe.2005.02.003

Gilmore, 1993, A new approach to testing for chaos, with applications in finance and economics, International Journal of Bifurcation and Chaos, 3, 583, 10.1142/S0218127493000477

Gilmore, 1996, Detecting linear and nonlinear dependence in stock returns: new methods derived from chaos theory, Journal of Business Finance and Accounting, 23, 1357, 10.1111/1468-5957.00084

Giraitis, 2003, Rescaled variance and related tests for long memory in volatility and levels, Journal of Econometrics, 112, 265, 10.1016/S0304-4076(02)00197-5

González, 2006, Simulation-based finite sample linearity test against smooth transition models, Oxford Bulletin of Economics and Statistics, 68, 797, 10.1111/j.1468-0084.2006.00457.x

Granero, 2008, Some comments on Hurst exponent and the long memory processes on capital markets, Physica A, 387, 5543, 10.1016/j.physa.2008.05.053

Granger, 1978, An Introduction to Bilinear Time Series Models

Granger, 1963, Spectral analysis of New York stock market prices, Kyklos, 16, 1, 10.1111/j.1467-6435.1963.tb00270.x

Granger, 1993, Modelling Nonlinear Economic Relationships, 10.1093/oso/9780198773191.001.0001

Grassberger, 1983, Measuring the strangeness of strange attractors, Physica D, 9, 189, 10.1016/0167-2789(83)90298-1

Greene, 1977, Long-term dependence in common stock returns, Journal of Financial Economics, 4, 339, 10.1016/0304-405X(77)90006-X

Griffin , J.M. Kelly , P.J. Nardari , F. 2008 Are emerging markets more profitable? Implications for comparing weak and semi-strong form efficiency

Groenewold, 1998, The effects of de-regulation on share-market efficiency in the Asia-Pacific, International Economic Journal, 12, 23, 10.1080/10168739800080027

Groenewold, 2004, The Chinese Stock Market: Efficiency, Predictability and Profitability

Grossman, 1980, On the impossibility of informationally efficient markets, American Economic Review, 70, 393

Gu, 2004, Increasing market efficiency: evidence from the NASDAQ, American Business Review, 22, 20

Gu, 2002, The evolution of market efficiency: 103 years daily data of the Dow, Review of Quantitative Finance and Accounting, 18, 219, 10.1023/A:1015300817043

Hansen, 1999, Testing for linearity, Journal of Economic Surveys, 13, 551, 10.1111/1467-6419.00098

Harrison, 1999, Non-linear noise reduction and detecting chaos: some evidence from the S&P Composite Price Index, Mathematics and Computers in Simulation, 48, 497, 10.1016/S0378-4754(99)00029-4

Hasanov, 2009a, Is South Korea's stock market efficient? Evidence from a nonlinear unit root test, Applied Economics Letters, 16, 163, 10.1080/13504850601018270

Hasanov, 2009b, A note on efficiency of Australian and New Zealand stock markets, Applied Economics, 41, 269, 10.1080/00036840600994286

Hasbrouck, 1993, Assessing the quality of a security market: a new approach to transaction-cost measurement, Review of Financial Studies, 6, 191, 10.1093/rfs/6.1.191

Hassan, 2008, Efficiency of Bangladesh stock market: evidence from monthly index and individual firm data, Applied Financial Economics, 18, 749, 10.1080/09603100701320178

Hiemstra, 1997, Another look at long memory in common stock returns, Journal of Empirical Finance, 4, 373, 10.1016/S0927-5398(96)00016-3

Hinich, 1982, Testing for Gaussianity and linearity of a stationary time series, Journal of Time Series Analysis, 3, 169, 10.1111/j.1467-9892.1982.tb00339.x

Hinich, 1996, Testing for dependence in the input to a linear time series model, Journal of Nonparametric Statistics, 6, 205, 10.1080/10485259608832672

Hinich, 2009, Falsifying ARCH/GARCH models using bispectral based tests, Communications in Statistics - Theory and Methods, 38, 529, 10.1080/03610920802245741

Hinich, 1985, Evidence of nonlinearity in daily stock returns, Journal of Business and Economic Statistics, 3, 69, 10.2307/1391691

Hinich, 1992, A new diagnostic test of model inadequacy which uses the martingale difference criterion, Journal of Time Series Analysis, 13, 233, 10.1111/j.1467-9892.1992.tb00104.x

Hinich , M.J. Patterson , D.M. 1995 Detecting epochs of transient dependence in white noise

Hinich, 2005, Money, Measurement and Computation, 61

Hinich, 1998, Frequency-domain test of time reversibility, Macroeconomic Dynamics, 2, 72, 10.1017/S136510059800604X

Hinich, 2005, Detecting nonlinearity in time series: surrogate and bootstrap approaches, Studies in Nonlinear Dynamics and Econometrics, 9

Hjalmarsson, 2009, Predicting global stock returns, Journal of Financial and Quantitative Analysis

Hommes, 2009, Handbook of Financial Markets: Dynamics and Evolution, 217, 10.1016/B978-012374258-2.50008-7

Hong, 2005, Generalized spectral tests for conditional mean models in time series with conditional heteroscedasticity of unknown form, Review of Economic Studies, 72, 499, 10.1111/j.1467-937X.2005.00341.x

Hoque, 2007, A comparison of variance ratio tests of random walk: a case of Asian emerging stock markets, International Review of Economics and Finance, 16, 488, 10.1016/j.iref.2006.01.001

Horowitz, 2006, Bootstrapping the Box-Pierce Q test: a robust test of uncorrelatedness, Journal of Econometrics, 133, 841, 10.1016/j.jeconom.2005.06.014

Hou, 2005, Market frictions, price delay, and the cross-section of expected returns, Review of Financial Studies, 18, 981, 10.1093/rfs/hhi023

Hsieh, 1989, Testing for nonlinear dependence in daily foreign exchange rates, Journal of Business, 62, 339, 10.1086/296466

Hsieh, 1991, Chaos and nonlinear dynamics: application to financial markets, Journal of Finance, 46, 1839, 10.2307/2328575

Hung, 2009, Deregulation and liberalization of the Chinese stock market and the improvement of market efficiency, Quarterly Review of Economics and Finance, 49, 843, 10.1016/j.qref.2009.04.005

Hung, 2009, Examining market efficiency for large- and small-capitalization of TOPIX and FTSE stock indices, Applied Financial Economics, 19, 735, 10.1080/09603100802129775

Hurst, 1951, Long-term storage capacity of reservoirs, Transactions of the American Society of Civil Engineers, 116, 770, 10.1061/TACEAT.0006518

Ito, 2009, Measuring the degree of time varying market inefficiency, Economics Letters, 103, 62, 10.1016/j.econlet.2009.01.028

Jacobsen, 1996, Long term dependence in stock returns, Journal of Empirical Finance, 3, 393, 10.1016/S0927-5398(96)00009-6

Jain, 2005, Financial market design and the equity premium: electronic versus floor trading, Journal of Finance, 60, 2955, 10.1111/j.1540-6261.2005.00822.x

Jefferis, 2004, Capitalisation and weak-form efficiency in the JSE Securities Exchange, South African Journal of Economics, 72, 684, 10.1111/j.1813-6982.2004.tb00130.x

Jefferis, 2005, The changing efficiency of African stock markets, South African Journal of Economics, 73, 54, 10.1111/j.1813-6982.2005.00004.x

Jenkins, 1968, Spectral Analysis and Its Applications

Jensen, 1978, Some anomalous evidence regarding market efficiency, Journal of Financial Economics, 6, 95, 10.1016/0304-405X(78)90025-9

Jin, 2006, R2 around the world: new theory and new tests, Journal of Financial Economics, 79, 257, 10.1016/j.jfineco.2004.11.003

Jirasakuldech, 2008, Business conditions and nonrandom walk behaviour of US stocks and bonds returns, Applied Financial Economics, 18, 659, 10.1080/09603100701222242

Kaminsky, 1999, What triggers market jitters? A chronicle of the Asian crisis, Journal of International Money and Finance, 18, 537, 10.1016/S0261-5606(99)00015-7

Kasman, 2008, Long memory in stock returns: evidence from the major emerging Central European stock markets, Applied Economics Letters

Kawakatsu, 1999a, An empirical examination of financial liberalization and the efficiency of emerging market stock prices, Journal of Financial Research, 22, 385, 10.1111/j.1475-6803.1999.tb00702.x

Kawakatsu, 1999b, Financial liberalization and stock market efficiency: an empirical examination of nine emerging market countries, Journal of Multinational Financial Management, 9, 353, 10.1016/S1042-444X(99)00007-9

Kilic, 2004, On the long memory properties of emerging capital markets: evidence from Istanbul stock exchange, Applied Financial Economics, 14, 915, 10.1080/0960310042000233638

Kim, 2006, Wild bootstrapping variance ratio tests, Economics Letters, 92, 38, 10.1016/j.econlet.2006.01.007

Kim, 2008, Are Asian stock markets efficient? Evidence from new multiple variance ratio tests, Journal of Empirical Finance, 15, 518, 10.1016/j.jempfin.2007.07.001

Kim, 2000a, The fear of globalizing capital markets, Emerging Markets Review, 1, 183, 10.1016/S1566-0141(00)00014-5

Kim, 2000b, Stock market openings: experience of emerging economies, Journal of Business, 73, 25, 10.1086/209631

Kim, 2004, What makes circuit breakers attractive to financial markets? A survey, Financial Markets, Institutions and Instruments, 13, 109, 10.1111/j.0963-8008.2004.00074.x

Kim, 2009, Nonlinear mean reversion in the G7 stock markets, Applied Financial Economics, 19, 347, 10.1080/09603100802389007

Kočenda, 2005, Optimal range for the iid test based on integration across the correlation integral, Econometric Reviews, 24, 265, 10.1080/07474930500243001

Kohers, 1997, Using nonlinear dynamics to test for market efficiency among the major U.S. stock exchanges, Quarterly Review of Economics and Finance, 37, 523, 10.1016/S1062-9769(97)90041-7

Koustas, 2008, Threshold random walks in the US stock market, Chaos, Solitons and Fractals, 37, 43, 10.1016/j.chaos.2006.11.024

Kuan, 2004, A new test of the martingale difference hypothesis, Studies in Nonlinear Dynamics and Econometrics, 8

Kvedaras, 2004, Testing the efficiency of emerging capital markets: the case of the Baltic States, Journal of Probability and Statistical Science, 2, 111

Kyaw, 2006, Persistence characteristics of Latin American financial markets, Journal of Multinational Financial Management, 16, 269, 10.1016/j.mulfin.2005.08.001

Lagoarde-Segot, 2009, Financial reforms and time-varying microstructures in emerging equity markets, Journal of Banking and Finance, 33, 1755, 10.1016/j.jbankfin.2009.01.007

Lagoarde-Segot, 2008, Efficiency in emerging markets: evidence from the MENA region, Journal of International Financial Markets, Institutions and Money, 18, 94, 10.1016/j.intfin.2006.06.003

Laopodis, 2003, Financial market liberalization and stock market efficiency: the case of Greece, Managerial Finance, 29, 24, 10.1108/03074350310768274

Laopodis, 2004, Financial market liberalization and stock market efficiency: evidence from the Athens Stock Exchange, Global Finance Journal, 15, 103, 10.1016/j.gfj.2004.06.001

Laurence, 1997, Weak-form efficiency and causality tests in Chinese stock markets, Multinational Finance Journal, 1, 291, 10.17578/1-4-3

Lean, 2007, Do Asian stock markets follow a random walk? Evidence from LM unit root tests with one and two structural breaks, Review of Pacific Basin Financial Markets and Policies, 10, 15, 10.1142/S0219091507000933

LeBaron, 1994, Chaos and nonlinear forecastability in economics and finance, Philosophical Transactions of the Royal Society, 348, 397, 10.1098/rsta.1994.0099

Lee, 1996, Price limits and stock market efficiency, Journal of Business Finance and Accounting, 23, 585, 10.1111/j.1468-5957.1996.tb01027.x

Lee, 1993, Testing for neglected nonlinearity in time series models: a comparison of neural network methods and alternative tests, Journal of Econometrics, 56, 269, 10.1016/0304-4076(93)90122-L

Lettau, 2008, Reconciling the return predictability evidence, Review of Financial Studies, 21, 1607, 10.1093/rfs/hhm074

Li, 2003a, China: further evidence on the evolution of stock markets in transition economies, Scottish Journal of Political Economy, 50, 341, 10.1111/1467-9485.5003006

Li, 2003b, Time-varying informational efficiency in China's A-share and B-share markets, Journal of Chinese Economic and Business Studies, 1, 33, 10.1080/1476528032000039730

Li, 2004, Firm-specific variation and openness in emerging markets, Review of Economics and Statistics, 86, 658, 10.1162/0034653041811789

Lim, 2007, Ranking of efficiency for stock markets: a nonlinear perspective, Physica A, 376, 445, 10.1016/j.physa.2006.10.013

Lim, 2008a, Sectoral efficiency of the Malaysian stock market and the impact of the Asian financial crisis, Studies in Economics and Finance, 25, 196, 10.1108/10867370810894710

Lim, 2008b, Sectoral impact of shocks: empirical evidence from the Malaysian stock market, Applied Financial Economics Letters, 4, 35, 10.1080/17446540701367436

Lim , K.P. Brooks , R.D. 2006 The evolving and relative efficiencies of stock markets: empirical evidence from rolling bicorrelation test statistics http://ssrn.com/abstract=931071

Lim, 2009a, Are Chinese stock markets efficient? Further evidence from a battery of nonlinearity tests, Applied Financial Economics, 19, 147, 10.1080/09603100701765182

Lim, 2009b, Emerging Markets: Performance, Analysis and Innovation, 21, 10.1201/9781439804506-c2

Lim, 2009c, Price limits and stock market efficiency: evidence from rolling bicorrelation test statistic, Chaos, Solitons and Fractals, 40, 1271, 10.1016/j.chaos.2007.09.001

Lim, 2009d, Why do emerging stock markets experience more persistent price deviations from a random walk over time? A country-level analysis, Macroeconomic Dynamics

Lim , K.P. Hinich , M.J. Brooks , R.D. 2006 Events that shook the market: an insight from nonlinear serial dependencies in intraday returns http://ssrn.com/abstract=912603

Lim , K.P. Brooks , R.D. Hinich , M.J. 2008a Are stock returns time reversible? International evidence from frequency domain tests http://ssrn.com/abstract=1320165

Lim, 2008b, Nonlinear serial dependence and the weak-form efficiency of Asian emerging stock markets, Journal of International Financial Markets, Institutions and Money, 18, 527, 10.1016/j.intfin.2007.08.001

Lim, 2008c, Financial crisis and stock market efficiency: empirical evidence from Asian countries, International Review of Financial Analysis, 17, 571, 10.1016/j.irfa.2007.03.001

de Lima, 1998, Nonlinearities and nonstationarities in stock returns, Journal of Business and Economic Statistics, 16, 227, 10.2307/1392578

Lima, 2004, Tests of the random walk hypothesis for equity markets: evidence from China, Hong Kong and Singapore, Applied Economics Letters, 11, 255, 10.1080/13504850410001674911

Limam, 2003, Is long memory a property of thin stock markets? International evidence using Arab countries, Review of Middle East Economics and Finance, 1

Liu, 1997, Are Chinese stock markets efficient? A cointegration and causality analysis, Applied Economics Letters, 4, 511, 10.1080/758536636

Llorente, 2002, Dynamic volume-return relation of individual stocks, Review of Financial Studies, 15, 1005, 10.1093/rfs/15.4.1005

Lo, 1991, Long-term memory in stock market prices, Econometrica, 59, 1279, 10.2307/2938368

Lo, 1999, The three P's of total risk management, Financial Analysts Journal, 55, 13, 10.2469/faj.v55.n1.2238

Lo, 2002, Bubble, rubble, finance in trouble, Journal of Psychology and Financial Markets, 3, 76, 10.1207/S15327760JPFM0302_02

Lo, 2004, The adaptive markets hypothesis: market efficiency from an evolutionary perspective, Journal of Portfolio Management, 30, 15, 10.3905/jpm.2004.442611

Lo, 2005, Reconciling efficient markets with behavioral finance: the adaptive markets hypothesis, Journal of Investment Consulting, 7, 21

Lo, 2008, The New Palgrave Dictionary of Economics Online

Lo, 1988, Stock market prices do not follow random walks: evidence from a simple specification test, Review of Financial Studies, 1, 41, 10.1093/rfs/1.1.41

Lo, 1999, A Non-random Walk down Wall Street

Lobato, 2002, Testing for zero autocorrelation in the presence of statistical dependence, Econometric Theory, 18, 730, 10.1017/S0266466602183083

Long, 1999, Information transmission in the Shanghai equity market, Journal of Financial Research, 22, 29, 10.1111/j.1475-6803.1999.tb00713.x

Lovatt, 2007, A note on the predictability of UK stock returns, European Journal of Finance, 13, 159, 10.1080/13518470500378107

Lu, 2007, Integrating A- and B-share markets in China: the effects of regulatory policy changes on market efficiency, Review of Pacific Basin Financial Markets and Policies, 10, 309, 10.1142/S0219091507001082

Lumsdaine, 1999, Testing for ARCH in the presence of a possibly misspecified conditional mean, Journal of Econometrics, 93, 257, 10.1016/S0304-4076(99)00011-1

Luukkonen, 1988, Testing linearity against smooth transition autoregressive models, Biometrika, 75, 491, 10.1093/biomet/75.3.491

Ma, 2004, The Efficiency of China's Stock Market

Ma, 2006, Long-term memory in emerging markets: evidence from the Chinese stock market, International Journal of Information Technology and Decision Making, 5, 495, 10.1142/S0219622006002088

Maghyereh, 2005, Electronic trading and market efficiency in an emerging market: the case of the Jordanian capital market, Emerging Markets Finance and Trade, 41, 5, 10.1080/1540496X.2005.11052615

Maghyereh, 2007, Testing for long-range dependence in stock market returns: a further evidence from MENA emerging stock markets, Applied Financial Economics Letters, 3, 365, 10.1080/17446540701222417

Maghyereh, 2002, Financial liberalization and stock market efficiency: empirical evidence from an emerging market, African Finance Journal, 4, 24

Malkiel, 2003, The efficient market hypothesis and its critics, Journal of Economic Perspectives, 17, 59, 10.1257/089533003321164958

Malkiel, 2005, Market efficiency versus behavioral finance, Journal of Applied Corporate Finance, 17, 124, 10.1111/j.1745-6622.2005.00053.x

Mandelbrot, 1971, When can price be arbitraged efficiently? A limit to the validity of the random walk and martingale models, Review of Economics and Statistics, 53, 225, 10.2307/1937966

McKenzie, 2001, Chaotic behavior in national stock market indices: new evidence from the close returns test, Global Finance Journal, 12, 35, 10.1016/S1044-0283(01)00024-2

McLeod, 1983, Diagnostic checking ARMA time series models using squared-residual autocorrelations, Journal of Time Series Analysis, 4, 269, 10.1111/j.1467-9892.1983.tb00373.x

McPherson, 2007, Are international stock returns predictable? An examination of linear and non-linear predictability using generalized spectral tests, Journal of International Financial Markets, Institutions and Money, 17, 452, 10.1016/j.intfin.2006.04.002

McPherson, 2005, Are international stock returns predictable? An application of spectral shape tests corrected for heteroskedasticity, Journal of Economics and Business, 57, 103, 10.1016/j.jeconbus.2004.09.007

Menkhoff, 2007, The obstinate passion of foreign exchange professionals: technical analysis, Journal of Economic Literature, 45, 936, 10.1257/jel.45.4.936

Milionis, 2007, Efficient capital markets: a statistical definition and comments, Statistics and Probability Letters, 77, 607, 10.1016/j.spl.2006.09.007

Mobarek, 2008, Market efficiency in emerging stock market: evidence from Bangladesh, Journal of Emerging Market Finance, 7, 17, 10.1177/097265270700700102

Mollah, 2007, Testing weak-form market efficiency in emerging market: evidence from Botswana Stock Exchange, International Journal of Theoretical and Applied Finance, 10, 1077, 10.1142/S021902490700455X

Mookerjee, 1999, An empirical analysis of the equity markets in China, Review of Financial Economics, 8, 41, 10.1016/S1058-3300(99)00006-3

Morck, 2000, The information content of stock markets: why do emerging markets have synchronous stock price movements, Journal of Financial Economics, 58, 215, 10.1016/S0304-405X(00)00071-4

Naidu, 1994, Volume, volatility, liquidity and efficiency of the Singapore Stock Exchange before and after automation, Pacific-Basin Finance Journal, 2, 23, 10.1016/0927-538X(94)90027-2

Narayan, 2005, Are the Australian and New Zealand stock prices nonlinear with a unit root, Applied Economics, 37, 2161, 10.1080/00036840500217887

Narayan, 2006, The behaviour of US stock prices: evidence from a threshold autoregressive model, Mathematics and Computers in Simulation, 71, 103, 10.1016/j.matcom.2005.11.016

Narayan, 2008, Do shocks to G7 stock prices have a permanent effect? Evidence from panel unit root tests with structural change, Mathematics and Computers in Simulation, 77, 369, 10.1016/j.matcom.2007.03.003

Narayan, 2007, Mean reversion in stock prices: new evidence from panel unit root tests, Studies in Economics and Finance, 24, 233, 10.1108/10867370710817419

Narayan, 2007, Mean reversion in stock prices: new evidence from panel unit root tests for seventeen European countries, Economics Bulletin, 3, 1

Narayan, 2007, Mean reversion versus random walk in G7 stock prices: evidence from multiple trend break unit root tests, Journal of International Financial Markets, Institutions and Money, 17, 152, 10.1016/j.intfin.2005.10.002

Neely, 2009, The adaptive markets hypothesis: evidence from the foreign exchange market, Journal of Financial and Quantitative Analysis, 44, 467, 10.1017/S0022109009090103

Nelson, 1982, An Evolutionary Theory of Economic Change

Ntim, 2007, An empirical re-examination of the weak form efficient markets hypothesis of the Ghana stock market using variance-ratios tests, African Finance Journal, 9, 1

Oh, 2008, Long-term memory and volatility clustering in high-frequency price changes, Physica A, 387, 1247, 10.1016/j.physa.2007.08.061

Ozdemir, 2008, Efficient market hypothesis: evidence from a small open-economy, Applied Economics, 40, 633, 10.1080/00036840600722315

Panagiotidis, 2005, Market capitalization and efficiency: does it matter? Evidence from the Athens Stock Exchange, Applied Financial Economics, 15, 707, 10.1080/09603100500107883

Panagiotidis, 2009, Market efficiency and the Euro: the case of the Athens stock exchange, Empirica

Park, 2007, What do we know about the profitability of technical analysis, Journal of Economic Surveys, 21, 786, 10.1111/j.1467-6419.2007.00519.x

Patterson, 2000, A Nonlinear Time Series Workshop: A Toolkit for Detecting and Identifying Nonlinear Serial Dependence, 10.1007/978-1-4419-8688-7

Paye, 2006, Instability of return prediction models, Journal of Empirical Finance, 13, 274, 10.1016/j.jempfin.2005.11.001

Pesaran, 1992, A simple nonparametric test of predictive performance, Journal of Business and Economic Statistics, 10, 461, 10.2307/1391822

Petruccelli, 1986, A portmanteau test for self-exciting threshold autoregressive-type nonlinearity in time series, Biometrika, 73, 687, 10.1093/biomet/73.3.687

Petruccelli, 2009, A robust Cusum test for SETAR-type nonlinearity in time series, Journal of Forecasting, 28, 266, 10.1002/for.1113

Phengpis, 2006, Are emerging stock market price indices really stationary, Applied Financial Economics, 16, 931, 10.1080/09603100500386099

Pierdzioch, 2007, Sources of predictability of European stock markets for high-technology firms, European Journal of Finance, 13, 1, 10.1080/13518470600762408

Psaradakis, 2008, Assessing time-reversibility under minimal assumptions, Journal of Time Series Analysis, 29, 881, 10.1111/j.1467-9892.2008.00587.x

Qian, 2008, Nonlinear behaviour of the Chinese SSEC index with a unit root: evidence from threshold unit root tests, Physica A, 387, 503, 10.1016/j.physa.2007.09.029

Racine, 2007, A versatile and robust metric entropy test of time-reversibility, and other hypotheses, Journal of Econometrics, 138, 547, 10.1016/j.jeconom.2006.05.009

Rahman, 2008, Random walk and breaking trend in financial series: an econometric critique of unit root tests, Review of Financial Economics, 17, 204, 10.1016/j.rfe.2007.05.002

Ramsey, 1996, Time irreversibility and business cycle asymmetry, Journal of Money, Credit and Banking, 28, 1, 10.2307/2077963

Rapach, 2006, Structural breaks and predictive regression models of aggregate U.S. stock returns, Journal of Financial Econometrics, 4, 238, 10.1093/jjfinec/nbj008

Rea , W. Oxley , L. Reale , M. Brown , J. 2008 The empirical properties of some popular estimators of long memory processes

Richardson, 1991, Tests of financial models in the presence of overlapping observations, Review of Financial Studies, 4, 227, 10.1093/rfs/4.2.227

Robinson, 1995, Gaussian semiparametric estimation of long range dependence, Annals of Statistics, 23, 1630, 10.1214/aos/1176324317

Rockinger, 2000, The evolution of stock markets in transition economies, Journal of Comparative Economics, 28, 456, 10.1006/jcec.2000.1669

Rockinger, 2001, A time-varying parameter model to test for predictability and integration in the stock markets of transition economies, Journal of Business and Economic Statistics, 19, 73, 10.1198/07350010152472634

Romero-Meza, 2007, Nonlinear event detection in the Chilean stock market, Applied Economics Letters, 14, 987, 10.1080/13504850600706024

Rubinstein, 1975, Securities market efficiency in an Arrow-Debreu economy, American Economic Review, 65, 812

Rubinstein, 2001, Rational markets: yes or no? The affirmative case, Financial Analysts Journal, 57, 15, 10.2469/faj.v57.n3.2447

Rusticelli, 2009, A new bispectral test for nonlinear serial dependence, Econometric Reviews, 28, 279, 10.1080/07474930802388090

Ryoo, 2002, Korean stock prices under price limits: variance ratio tests of random walks, Applied Financial Economics, 12, 545, 10.1080/09603100010015789

Sadique, 2001, Long-term memory in stock market returns: international evidence, International Journal of Finance and Economics, 6, 59, 10.1002/ijfe.143

Scheinkman, 1989, Nonlinear dynamics and stock returns, Journal of Business, 62, 311, 10.1086/296465

Schotman, 2006, Non-synchronous trading and testing for market integration in Central European emerging markets, Journal of Empirical Finance, 13, 462, 10.1016/j.jempfin.2006.04.002

Schwert, 2003, Handbook of the Economics of Finance, 937

Self, 2006, Asymmetric stationarity in national stock market indices: an MTAR analysis, Journal of Business, 79, 3153, 10.1086/505252

Serletis, 2009, Mean reversion in the US stock market, Chaos, Solitons and Fractals, 40, 2007, 10.1016/j.chaos.2007.09.085

Serletis, 2003, No evidence of chaos but some evidence of dependence in the US stock market, Chaos, Solitons and Fractals, 17, 449, 10.1016/S0960-0779(02)00387-9

Serletis, 2008, Detrended fluctuation analysis of the US stock market, International Journal of Bifurcation and Chaos, 18, 599, 10.1142/S0218127408020525

Shintani, 2004, Nonparametric neural network estimation of Lyapunov exponents and a direct test for chaos, Journal of Econometrics, 120, 1, 10.1016/S0304-4076(03)00205-7

Simon, 1955, A behavioral model of rational choice, Quarterly Journal of Economics, 69, 99, 10.2307/1884852

Slezak, 2003, On the impossibility of weak-form efficient markets, Journal of Financial and Quantitative Analysis, 38, 523, 10.2307/4126730

Smith, 2007, Random walks in Middle Eastern stock markets, Applied Financial Economics, 17, 587, 10.1080/09603100600911200

Smith, 2008, Liquidity and the informational efficiency of African stock markets, South African Journal of Economics, 76, 161, 10.1111/j.1813-6982.2008.00171.x

Smith, 2009, Martingales in European emerging stock markets: size, liquidity and market quality, European Journal of Finance, 15, 249, 10.1080/13518470802423262

Squalli, 2006, A non-parametric assessment of weak-form efficiency in the UAE financial markets, Applied Financial Economics, 16, 1365, 10.1080/09603100500447594

Stock, 2003, Forecasting output and inflation: the role of asset prices, Journal of Economic Literature, 41, 788, 10.1257/002205103322436197

Tabak, 2003, The random walk hypothesis and the behaviour of foreign capital portfolio flows: the Brazilian stock market case, Applied Financial Economics, 13, 369, 10.1080/09603100210134550

Timmermann, 2008, Elusive return predictability, International Journal of Forecasting, 24, 1, 10.1016/j.ijforecast.2007.07.008

Timmermann, 2004, Efficient market hypothesis and forecasting, International Journal of Forecasting, 20, 15, 10.1016/S0169-2070(03)00012-8

Todea, 2008, Episodic dependencies in Central and Eastern Europe stock markets, Applied Economics Letters, 15, 1123, 10.1080/13504850600993614

Tsay, 1986, Nonlinearity tests for time series, Biometrika, 73, 461, 10.1093/biomet/73.2.461

Tsay, 1989, Testing and modeling threshold autoregressive processes, Journal of the American Statistical Association, 84, 231, 10.2307/2289868

Tsay, 2005, Analysis of Financial Time Series, 10.1002/0471746193

Welch, 2008, A comprehensive look at the empirical performance of equity premium prediction, Review of Financial Studies, 21, 1455, 10.1093/rfs/hhm014

Whang, 2003, A multiple variance ratio test using subsampling, Economics Letters, 79, 225, 10.1016/S0165-1765(02)00330-0

Whang, 1999, The asymptotic distribution of nonparametric estimates of the Lyapunov exponent for stochastic time series, Journal of Econometrics, 91, 1, 10.1016/S0304-4076(98)00047-5

Wild , P. Hinich , M.J. Foster , J. 2008 The use of trimming to improve the performance of tests for nonlinear serial dependence with application to the Australian national electricity market

Wright, 2000, Alternative variance-ratio tests using ranks and signs, Journal of Business and Economic Statistics, 18, 1, 10.2307/1392131

Yadav, 1999, Non-linear dependence in stock returns: does trading frequency matter, Journal of Business Finance and Accounting, 26, 651, 10.1111/1468-5957.00270

Yen, 2008, Efficient market hypothesis (EMH): past, present and future, Review of Pacific Basin Financial Markets and Policies, 11, 305, 10.1142/S0219091508001362

Yilmaz, 2003, Martingale property of exchange rates and central bank interventions, Journal of Business and Economic Statistics, 21, 383, 10.1198/073500103288619034

Zalewska-Mitura, 1999, Examining the first stages of market performance: a test for evolving market efficiency, Economics Letters, 64, 1, 10.1016/S0165-1765(99)00074-9

Zalewska-Mitura, 2000, Do market participants learn? The case of the Budapest Stock Exchange, Economics of Planning, 33, 3, 10.1023/A:1003913725499

Zhang, 2008, A variance ratio test of the behaviour of Chinese stock indices, Applied Economics Letters, 15, 567, 10.1080/13504850600706941

Zunino, 2007, Inefficiency in Latin-American market indices, European Physical Journal B, 60, 111, 10.1140/epjb/e2007-00316-y

Zunino, 2008, A multifractal approach for stock market inefficiency, Physica A, 387, 6558, 10.1016/j.physa.2008.08.028