Local Influence Analysis for Semiparametric Reproductive Dispersion Nonlinear Models  

作　　者：Xue-dong CHEN Nian-sheng TANG Xue-ren WANG 

机构地区：[1]Department of Statistics,Yunnan University,Kunming 650091,China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第1期75-90,共16页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10961026, 10761011);the National Social Science Foundation of China (No. 10BTJ001)

摘　　要：The present paper proposes a semiparametric reproductive dispersion nonlinear model （SRDNM） which is an extension of the nonlinear reproductive dispersion models and the semiparameter regression models. Maximum penalized likelihood estimates （MPLEs） of unknown parameters and nonparametric functions in SRDNM are presented. Assessment of local influence for various perturbation schemes are investigated. Some local influence diagnostics are given. A simulation study and a real example are used to illustrate the proposed methodologies.The present paper proposes a semiparametric reproductive dispersion nonlinear model （SRDNM） which is an extension of the nonlinear reproductive dispersion models and the semiparameter regression models. Maximum penalized likelihood estimates （MPLEs） of unknown parameters and nonparametric functions in SRDNM are presented. Assessment of local influence for various perturbation schemes are investigated. Some local influence diagnostics are given. A simulation study and a real example are used to illustrate the proposed methodologies.

关 键 词：local influence analysis maximum penalized likelihood estimate nonlinear reproductive dispersionmodels semiparametric regression model 

分 类 号：O211.67[理学—概率论与数理统计] O212.1[理学—数学]