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Notice and Invitation
Oral Defense of Doctoral
Dissertation
Department of Statistics
Volgenau School of Engineering, George Mason University
Mengdie Yuan
Bachelor of Science, Statistics,
University of Science
and Technology of China, 2009
Master of Science, Statistical Science, George Mason
University, 2011
Semiparametric
Regression
Analysis of Survival and Longitudinal Data
Monday, April 28th, 2014
10:30 AM to 12:30 PM
The Nguyen Engineering Building, Room 3507
All are invited to attend.
Committee
Guoqing Diao, Chair
Jacqueline Hughes-Oliver
Anand Vidyashankar
Ali Weinstein
Abstract
The
proportional odds model is a popular model in survival analysis.
The assumption
of constant odds ratios over time in the proportional odds
model, however, is
often violated in many applications. We propose a novel
semiparametric general
odds ratio model for the analysis of right-censored survival
data. The proposed
model incorporates the short-term and long-term covariate
effects on the
failure time data, and includes the proportional odds model as a
special case.
We derive efficient likelihood-based inference procedures and
establish the
large sample properties of the proposed nonparametric maximum
likelihood
estimators. Extensive simulation studies demonstrate the
proposed methods
perform well in practical settings. An application to a breast
cancer study is
provided.
Secondly,
we study the generalized linear models with an unknown link
function for both
data with independent observations and longitudinal data. We
propose sieve
maximum likelihood estimation procedures for both fixed effects
models and
random effects models by using B-splines. We establish the
consistency and
asymptotic normality of the proposed sieve maximum likelihood
estimators. Extensive
simulation studies along
with an application to an epileptic
study are provided to
evaluate the finite-sample performance of the proposed methods.
A
copy of this doctoral dissertation will be on
reserve at the Johnson Center Library.