Doctoral Dissertations

Keywords and Phrases

Clustered failure times; Composite likelihood; Estimating function; Gaussian random fields; Infill asymptoticSpatial correlation

Abstract

Consider a fixed number of clustered areas identified by their geographical coordinate that are monitored for the occurrences of an event such as pandemic, epidemic, migration to name a few. Data collected on units at all areas include time varying covariates and other environmental factors that may affect event occurrences. The event times in every area can be independent. They can also be correlated with correlation between two units induced by an unobservable frailty. In both cases, the collected data is considered pairwise to account for spatial correlation between all pair of areas. The pairwise right censored data is probit-transformed yielding a multivariate Gaussian random field preserving the spatial correlation function. The data is analyzed using counting process and geostatistical formulation that led to a class of weighted pairwise semiparametric estimating functions. In the independence case, estimators of models unknowns are shown to be consistent and asymptotically normally distributed under infill-type spatial statistics asymptotic. Detailed small sample numerical studies that are in agreement with the theoretical results are provided in the independence case. In the dependence case, the estimators are shown to be inefficiency when the dependence is ignored. The foregoing procedures are applied to Leukemia survival data in Northeast England--Abstract, page iv.

Advisor(s)

Adekpedjou, Akim

Committee Member(s)

Samaranayake, V. A.
Olbricht, Gayla R.
Bohner, Martin, 1966-
Zawodniok, Maciej Jan, 1975-

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Comments

Doctor of Philosophy in Mathematics with Statistics Emphasis

Publisher

Missouri University of Science and Technology

Publication Date

Summer 2022

Journal article titles appearing in thesis/dissertation

  • Modeling spatially clustered right censored data via multivariate Gaussian random fields
  • Modeling spatially correlated survival data with frailty

Pagination

x, 107 pages

Note about bibliography

Includes bibliographic references.

Rights

© 2022 Fathima Zahra Sainul Abdeen, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Thesis Number

T 12166

Electronic OCLC #

1344518774

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