Generalized linear longitudinal semi-parametic models with time dependent covariates

Kodalore Vijayan, Vineetha Warriyar (2012) Generalized linear longitudinal semi-parametic models with time dependent covariates. Doctoral (PhD) thesis, Memorial University of Newfoundland.

[img] [English] PDF - Accepted Version
Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.

Download (5Mb)

Abstract

Longitudinal data analysis is challenging because of the difficulties in modelling the correlations among the repeated responses, especially when the associated covariates are time dependent. Recent studies have examined correlations for both linear and discrete unbalanced longitudinal data, which are modelled following a Gaussian-type auto-regressive moving average (ARMA) class of auto-correlations. However, these studies were confined to a regression setup where the regression function is completely specified. In t his thesis, we consider a semi-parametric regression setup in which the regression function involves a specified as well as an unspecified function over time. Under the ARMA type correlation structure, we provide a semi-parametric generalized quasi-likelihood (SGQL) approach for the estimation of the main regression parameters. The proposed inference approach is compared with some existing generalized estimating equation (GEE) approaches mainly through simulation studies. The linear longitudinal semi-parametric model, for its foundational nature, is discussed in detail. Theoretical details on semi-parametric estimation for longitudinal count and binary data are also provided

Item Type: Thesis (Doctoral (PhD))
URI: http://research.library.mun.ca/id/eprint/9906
Item ID: 9906
Additional Information: Includes bibliographical references (leaves 124-130).
Department(s): Science, Faculty of > Mathematics and Statistics
Date: 2012
Date Type: Submission
Library of Congress Subject Heading: Regression analysis--Mathematical models; Correlation (Statistics); Longitudinal method; Estimation theory.

Actions (login required)

View Item View Item

Downloads

Downloads per month over the past year

View more statistics