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Title:Some topics on robust nonparametric regression and regression quantiles
Author(s):Shen, Liji
Doctoral Committee Chair(s):Portnoy, Stephen L.
Department / Program:Statistics
Discipline:Statistics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Statistics
Abstract:Local kernel estimates and B-spline estimates are considered in the nonparametric regression and the generalized linear models. The consistency and asymptotic normality of kernel estimates are proved. Simulations on B-spline estimates for nonparametric regression and generalized linear models are provided.
Also a sequential procedure based on the regression quantiles is proposed for constructing a fixed size confidence region of parameters of a linear model. The stopping time is asymptotically efficient and the confidence region is asymptotically consistent.
Issue Date:1994
Type:Text
Language:English
URI:http://hdl.handle.net/2142/22500
Rights Information:Copyright 1994 Shen, Liji
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9512546
OCLC Identifier:(UMI)AAI9512546


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