One-step local M-estimates of partial linear models with missing date

Author

Liu, Yan ; Song, Xiangdong ; Liu, Haitao ; Wang, Lihua

Author_Institution

Coll. of Sci., Yan Shan Univ., Qinhuangdao, China

fYear

2011

fDate

26-28 July 2011

Firstpage

2258

Lastpage

2261

Abstract

In the case of response data missing, the variable bandwidth and one-step local M-estimates are employed to estimate the unknown function and the unknown parameter in the partial linear models. The estimators of nonparametric componets are given by one-step local M-estimation, and the estimators of parametric components are obtained by one-step local M-estimation and average method. Moreover, the variable bandwidth is inserted to improve the one-step local M-estimation At last, the asymptotical normality of these estimators is established.

Keywords

data handling; estimation theory; parameter estimation; asymptotic normality; average method; nonparametric component estimator; one-step local M-estimation; partial linear model; response data missing; unknown function estimation; unknown parameter estimation; variable bandwidth; Bandwidth; Data models; Educational institutions; Electronic mail; Estimation; Polynomials; Robustness; asymptotical normality; missing data at random; one-step local M-estimation; variable bandwidth;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002557

Filename

6002557