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纵向数据单指标模型的广义经验似然统计推断

Keywords: 纵向数据,单指标模型,广义经验似然,置信域,纠偏性

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Abstract:

基于广义估计方程和二次推断函数方法,提出了纠偏的广义经验似然方法对纵向数据单指标模型进行统计推断,获得了模型中指标参数分量的极大经验似然估计和纠偏的广义经验对数似然比统计量.证明了相关估计量在一定条件下具有渐近正态性,且纠偏的广义经验对数似然比统计量依分布收敛于Х2分布,利用所得结果,可以构造未知参数的置信域及相关的假设检验.

References

[1]  STOKER T M. Consistent estimation of scaled coefficients[J]. Econometrica, 1986, 54(6): 1461-1481.
[2]  HARDLE W, STOKER T M. Investigating smooth multiple regression by the method of average derivatives [J]. Journal of the American Statistical Association, 1989, 84(408): 986-995.
[3]  HARDLE W, TSYBAKOV A B. How sensitive are average derivative[J]. Journal of Econometrics, 1993, 58(1/2): 31-48.
[4]  HRISTACHE M, JUDITSKY A, SPOKOINY V. Direct estimation of the index coefficient in a single-index model[J]. The Annals of Statistics, 2001, 29(3): 595-623.
[5]  POWELL J L, STOCK J H, STOKER T M. Semiparametric estimation of index coefficients [J]. Econometrica, 1989, 57(6): 1403-1430.
[6]  XUE L G, ZHU L X. Empirical likelihood for single-index models[J]. Journal of Multivariate Analysis, 2006, 97(6): 1295-1312.
[7]  ICHIMURA H. Semiparametric least squares (SLS) and weighted SLS estimation of single-index models [J]. Journal of Econometrics, 1993, 58(1/2): 71-120.
[8]  HARDLE W, HALL P, ICHIMURA H. Optimal smoothing in single-index models [J]. The Annals of Statistics, 1993, 21(1): 157-178.
[9]  李高荣, 冯三营, 薛留根. 纵向数据单指标模型中参数的经验似然置信域[J]. 应用概率统计, 2010, 26(2): 190-206.
[10]  LI Gao-rong, FENG San-ying, XUE Liu-gen. Empirical likelihood confidence regions of the parameters in single index models for longitudinal data[J]. Chinese Journal of Applied Probability and Statistics, 2010, 26 (2): 190-206. (in Chinese)
[11]  LI G R, ZHU L X, XUE L G, et al. Empirical likelihood inference in partially linear single-index models for longitudinal data[J]. Journal of Multivariate Analysis, 2010, 101(3): 718-732.
[12]  YANG S G, XUE L G, LI G R. Simultaneous confidence bands for single-index random effects models with longitudinal data[J]. Statistics and Probability Letters, 2014, 85: 6-14.
[13]  LAI P, LI G R, LIAN H. Quadratic inference functions for partially linear single-index models with longitudinal data[J]. Journal of Multivariate Analysis, 2013, 118: 115-127.
[14]  LIANG K Y, ZEGER S L. Longitudinal data analysis using generalized linear models[J]. Biometrika, 1986, 73(1): 13-22.
[15]  QU A, LINDSAY B G, LI B. Improving generalised estimating equations using quadratic inference functions[J]. Biometrika, 2000, 87(4): 823-836.
[16]  OWEN A. Empirical likelihood ratio confidence intervals for a single function [J]. Biometrika, 1988, 75 (2): 237-249.
[17]  OWEN A. Empirical likelihood for linear models [J]. The Annals of Statistics, 1991, 19(4): 1725-1747.
[18]  FAN J Q, GIJBELS I. Local polynomial modeling and its applications[M]. London: Chapman and Hall, 1996: 57-105 .
[19]  WANG J, XUE L, ZHU L, et al. Estimation for a partial-linear single-index model [J]. The Annals of Statistics, 2010, 38(1): 246-274.

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