Hypothesis testing for Fisher–Snedecor diffusion

Journal of Statistical Planning and Inference - Tập 142 - Trang 2308-2321 - 2012
F. Avram1, N.N. Leonenko2, N. Šuvak3
1Department of Mathematics, University of Pau, 64 000 Pau, France
2School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF244AG, UK
3Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, HR-31 000 Osijek, Croatia

Tài liệu tham khảo

Aït-Sahalia, 1996, Testing continuous time models of the spot interest rate, Review of Financial Studies, 9, 385, 10.1093/rfs/9.2.385 Avram, 2009, Series expansions for the first passage distribution of Wong–Pearson jump-diffusion, Stochastic Analysis and Applications, 27, 770, 10.1080/07362990902976611 Avram, 2011, Parameter estimation for Fisher–Snedecor diffusion, Statistics, 45, 27, 10.1080/02331888.2010.541249 Avram, F., Leonenko, N.N., Šuvak, N. Spectral representation of transition density of Fisher–Snedecor diffusion, under review. doi:10.1080/1744250YYxxxxxxxx Barbour, 1990, Stein method for diffusion approximations, Probability Theory and Related Fields, 84, 297, 10.1007/BF01197887 Bibby, 2005, Diffusion-type models with given marginal distribution and autocorrelation function, Bernoulli, 11, 281 Bontemps, C., Meddahi, N. Testing distributional assumptions: a GMM approach. Journal of Applied Econometrics, in press. doi:10.1002/jae.1250 Bontemps, 2005, Testing normality: a GMM approach, Journal of Econometrics, 124, 149, 10.1016/j.jeconom.2004.02.014 Doukhan, P., 1994. Mixing: properties and examples. In: Lecture Notes in Statistics, vol. 85. Springer, New York, Heidelberg, Berlin. Forman, 2008, The Pearson diffusions: a class of statistically tractable diffusion processes, Scandinavian Journal of Statistics, 35, 438, 10.1111/j.1467-9469.2007.00592.x Genon-Catalot, 2000, Stochastic volatility models as hidden Markov models and statistical applications, Bernoulli, 6, 1051, 10.2307/3318471 Hall, 1980 Hansen, 1995, Back to the future: generating moment implications for continuous-time Markov processes, Econometrica, 63, 767, 10.2307/2171800 Iacus, 2008 Itô, 1974 Kulik, A.M., Leonenko, N.N. Ergodicity and mixing bounds for the Fisher–Snedecor diffusion, under review. Leonenko, 2010, Statistical inference for reciprocal gamma diffusion process, Journal of Statistical Planning and Inference, 140, 30, 10.1016/j.jspi.2009.06.009 Leonenko, 2010, Statistical inference for Student diffusion process, Stochastic Analysis and Applications, 28, 972, 10.1080/07362994.2010.515476 Linetsky, 2004, The spectral decomposition of the option value, International Journal of Theoretical and Applied Finance, 7, 337, 10.1142/S0219024904002451 Luke, 1969 Pearson, 1914 Reed, 1980 Schoutens, 2000 Schoutens, 2001, Orthogonal polynomials in Stein's method, Journal of Mathematical Analysis and Applications, 253, 515, 10.1006/jmaa.2000.7159 Shiryayev, A.N. (Ed.), 1992. Selected Works of A.N. Kolmogorov, volume II. On Analytic Methods in Probability Theory. Kluwer Academic Publisher, Dordrecht, pp. 62–108. Šuvak, N., 2010. Statistical Analysis of Pearson Diffusions with Heavy-tailed Marginal Distributions. Ph.D. Thesis. Department of Mathematics, University of Zagreb, Croatia.