Semiparametric regression under long-range dependent errors
Tài liệu tham khảo
Agarwal, 1980, Asymptotic integrated mean square error using least squares and bias minimizing splines, Ann. Statist., 8, 1307, 10.1214/aos/1176345203
Anh, V.V., Heyde, C.C., Tieng, Q., 1999. Stochastic models for fractal processes. J. Statist. Planning Inference 80, 123–135 (this issue).
Beran, J., 1994. Statistics for Long-Memory Processes. Chapman and Hall, London.
Cox, 1995, Moment bounds for mixing random variables useful in nonparametric regression, Stochastic Process. Appl., 56, 151, 10.1016/0304-4149(94)00063-Y
Csörgő, 1995, Nonparametric regression under long-range dependent normal errors, Ann. Statist., 23, 1000, 10.1214/aos/1176324633
Dahlhaus, 1995, Efficient location and regression estimation for long range dependent regression models, Ann. Statist., 23, 1029, 10.1214/aos/1176324635
DeVore, R.A., Lorentz, G.G., 1993. Constructive Approximation. Springer, New York.
Eastwood, 1991, Adaptive truncation rules for seminonparametric estimates that achieve asymptotic normality, Econometric Theory, 7, 307, 10.1017/S0266466600004497
Eubank, R.L., 1988. Spline Smoothing and Nonparametric Regression. Marcel Dekker, New York.
Eubank, 1992, Testing goodness of fit in regression via order selection criteria, Ann. Statist., 20, 1412, 10.1214/aos/1176348775
Fan, J.Q., Gijbels, I., 1996. Local Polynomial Modelling and Its Applications. Chapman and Hall, London.
Gao, 1995, The laws of the iterated logarithm of some estimators in partly linear models, Statist. Probab. Lett., 25, 153, 10.1016/0167-7152(94)00217-V
Gao, 1995, Asymptotic theory for partially linear models, Comm. Statist. Theory Methods, 24, 1985, 10.1080/03610929508831598
Gao, 1996, Semiparametric regression smoothing of nonlinear time series, Scand. J. Statist., 25, 521, 10.1111/1467-9469.00118
Gao, J.T., Wolff, R.C.L., Pettitt, A.N., 1996. Nonparametric kernel estimation and long-range spectral density functions (submitted).
Gao, 1997, Adaptive parametric test in a semiparametric regression model, Comm. Statist. Theory Methods, 26, 783, 10.1080/03610929708831950
Gao, 1997, M-type smoothing splines in nonparametric and semiparametric regression models, Statist. Sinica, 4, 1155
Gao, 1997, Statistical inference in single-index and partially nonlinear regression models, Ann. Inst. Statist. Math., 3, 493, 10.1023/A:1003118812392
Green, P.J., Silverman, B.W., 1994. Nonparametric Regression and Generalized Linear Models. Chapman and Hall, London.
Hall, 1990, Nonparametric regression with long-range dependence, Stochastic Process. Appl., 36, 339, 10.1016/0304-4149(90)90100-7
Hall, 1995, On bandwidth choice in nonparametric regression with both short- and long-range dependent errors, Ann. Statist., 23, 1921, 10.1214/aos/1034713640
Hall, 1995, Formulae for mean integrated squared error of nonlinear wavelet-based density estimators, Ann. Statist., 23, 905, 10.1214/aos/1176324628
Hall, 1996, On the choice of smoothing parameter, threshold and truncation in nonparametric regression by nonlinear wavelet method, J. Roy. Statist. Soc. Ser. B, 58, 361
Härdle, W., 1990. Applied Nonparametric Regression. Cambridge University Press, Cambridge.
Hurvich, 1995, Relative rates of convergence for efficient model selection criteria in linear regression, Biometrika, 82, 418, 10.1093/biomet/82.2.418
Kashin, B.S., Saakyan, A.A., 1989. Orthogonal Series. Translations of Mathematical Monographs, vol. 75. American Mathematical Society, Providence RI.
Robinson, 1988, Root-N-consistent semiparametric regression, Econometrica, 56, 931, 10.2307/1912705
Robinson, 1995, Gaussian semiparametric estimation of long-range dependence, Ann. Statist., 23, 1630, 10.1214/aos/1176324317
Robinson, 1997, Time series regression with long-range dependence, Ann. Statist., 25, 77, 10.1214/aos/1034276622
Roussas, 1987, Moment inequalities for mixing sequences of random variables, Stochastic Anal. Appl., 5, 61, 10.1080/07362998708809108
Seber, G.A.F., 1977. Linear Regression Analysis. Wiley, New York.
Wahba, G., 1990. Spline Models for Observational Data. SIAM, Philadelphia.
Yajima, 1988, On estimation of a regression model with long-memory stationary errors, Ann. Statist., 16, 791, 10.1214/aos/1176350837
Yajima, 1991, Asymptotic properties of the LSE in a regression model with long-memory stationary errors, Ann. Statist., 19, 158, 10.1214/aos/1176347975
Yong, C.H., 1974. Asymptotic Behaviors of Trigonometric Series. Chinese University of Hong Kong Press, Hong Kong.