Files in this item

FilesDescriptionFormat

application/pdf

application/pdf2_He_Zhi.pdf (1MB)
(no description provided)PDF

application/postscript

application/postscriptuntitled.eps (42kB)
(no description provided)Postscript

application/postscript

application/postscriptMV.eps (5kB)
(no description provided)Postscript

application/postscript

application/postscriptmf.eps (5kB)
(no description provided)Postscript

application/postscript

application/postscriptISU32.eps (154kB)
(no description provided)Postscript

application/postscript

application/postscriptISU30.eps (94kB)
(no description provided)Postscript

application/postscript

application/postscriptISU9.eps (40kB)
(no description provided)Postscript

application/postscript

application/postscriptfunctionplot.eps (169kB)
(no description provided)Postscript

application/postscript

application/postscriptfigure31.eps (529kB)
(no description provided)Postscript

application/postscript

application/postscriptfigure6.eps (5kB)
(no description provided)Postscript

application/postscript

application/postscriptfigure21.eps (531kB)
(no description provided)Postscript

application/postscript

application/postscriptfigure5.eps (6kB)
(no description provided)Postscript

application/postscript

application/postscriptfigure4.eps (4kB)
(no description provided)Postscript

application/postscript

application/postscriptfigure3.eps (85kB)
(no description provided)Postscript

application/postscript

application/postscriptfigure2.eps (40kB)
(no description provided)Postscript

image/jpeg

image/jpegfigure1.jpg (12kB)
(no description provided)JPEG image

application/postscript

application/postscriptfigure1.eps (17kB)
(no description provided)Postscript

application/postscript

application/postscriptDM.eps (6kB)
(no description provided)Postscript

application/postscript

application/postscriptbsc1.eps (81kB)
(no description provided)Postscript

image/jpeg

image/jpegBell2.jpg (71kB)
(no description provided)JPEG image

application/postscript

application/postscriptbell2.eps (190kB)
(no description provided)Postscript

application/postscript

application/postscripta1b.eps (58kB)
(no description provided)Postscript

Description

Title:Semiparametric Inference
Author(s):He, Zhi
Director of Research:Simpson, Douglas G.
Doctoral Committee Chair(s):Simpson, Douglas G.
Doctoral Committee Member(s):Matinsek, Adam T.; Liang, Feng; Shao, Xiaofeng
Department / Program:Statistics
Discipline:Statistics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Intersection-Union Test
Semiparametric
Nonparametric
Additive Model
Dispersion
Functional Data
Abstract:Semi-parametric and nonparametric modeling and inference have been widely studied during the last two decades. In this manuscript, we do statistical inference based on semi-parametric and nonparametric models in several different scenarios. Firstly, we develop a semi-parametric additivity test for nonparametric multi-dimensional model. The test statistic can test two or higher way interactions and achieve the biggest local power when the interaction terms have Tukey's format. Secondly, we develop a two step iterative estimating algorithm for generalized linear model with nonparametric varying dispersion. The algorithm is derived for heteroscedastic error generalized linear models, but it can be extended to more general setting for example censored data. Thirdly, we develop a multivariate intersection-union bioequivalence test. The intersection- union test is uniform more powerful compare with other common used test for multivariate bioequivalence. Fourthly, we extend the multivariate bioequivalence test to functional data, which can also be considered as high dimensional multivariate data. We develop two bioequiv- alence test based on L2 and L infinity norm. We illustrate the issues and methodology by both simulation and in the context of ultrasound safety study, backscatter coefficient vs. frequency study as well as a pharmacokinetics study.
Issue Date:2010-08-31
URI:http://hdl.handle.net/2142/17019
Rights Information:Copyright 2010 Zhi He
Date Available in IDEALS:2010-08-31
2012-09-07
Date Deposited:2010-08


This item appears in the following Collection(s)

Item Statistics