Date of Award

2019-01-01

Degree Name

Master of Science

Department

Mathematical Sciences

Advisor(s)

Naijun . Sha

Abstract

Several authors have over the years studied the art of modeling data from accelerated life testing and making inferences from such data. In this study, we consider a continuously varying stress accelerated life testing procedure which is the limiting case of the multiple stress-level discussed by Doksum and H´oyland [1]. We derive the likelihood function for the life distribution of the continuously increasing stress accelerated life testing model and consequently the Fisher's Information Matrix. We propose a Bayesian analysis for this distribution using the Gibbs Sampling Procedure. We conduct simulation studies and real data analysis to demonstrate the efficiency of the proposed Bayesian approach to parameter estimation over that of maximum likelihood estimation procedure.

Language

en

Provenance

Received from ProQuest

File Size

40 pages

File Format

application/pdf

Rights Holder

Richard Okine

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