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Optimal allocation of simple step-stress model with Weibull distributed lifetimes under type-I censoring.

Lo, Kwok Yuen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 52-53). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Background --- p.1 / Chapter 1.2 --- Scope of the thesis --- p.3 / Chapter 2 --- Lifetime Model --- p.4 / Chapter 2.1 --- Introduction --- p.4 / Chapter 2.2 --- Weibull Distribution --- p.4 / Chapter 2.3 --- Step-Stress Experiment --- p.5 / Chapter 3 --- Maximum Likelihood Estimation of Model Parameters --- p.9 / Chapter 3.1 --- Introduction --- p.9 / Chapter 3.2 --- Maximum Likelihood Estimation --- p.10 / Chapter 3.3 --- Fisher Information Matrix --- p.13 / Chapter 3.4 --- Numerical Methods improving Newton's method. --- p.17 / Chapter 3.4.1 --- Initial values --- p.18 / Chapter 3.4.2 --- Fisher-Scoring method --- p.19 / Chapter 4 --- Optimal Experimental Design --- p.21 / Chapter 4.1 --- Introduction --- p.21 / Chapter 4.2 --- Optimal Criteria --- p.22 / Chapter 4.3 --- Optimal Stress-changing-time Proportion --- p.23 / Chapter 4.3.1 --- Optimal n versus the shape parameter B --- p.24 / Chapter 4.3.2 --- "Optimal n versus the parameters ao, a1" --- p.27 / Chapter 4.3.3 --- Optimal n versus the initial stress level x1 --- p.32 / Chapter 4.3.4 --- Optimal n versus the censoring time t2 --- p.33 / Chapter 4.4 --- Sensitivity Analysis --- p.34 / Chapter 4.4.1 --- Effects of the shape parameter B --- p.34 / Chapter 4.4.2 --- "Effects of the parameters ao, al" --- p.37 / Chapter 5 --- Conclusion Remarks and Further Research --- p.39 / Chapter A --- Simulation Algorithm for a Weibull Type-I Censored Simple Step-Stress Model --- p.41 / Chapter B --- Expected values of Fisher Information Matrix --- p.42 / Chapter C --- "Derivation of P(A1, A2)" --- p.50 / Bibliography --- p.52

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327261
Date January 2010
ContributorsLo, Kwok Yuen., Chinese University of Hong Kong Graduate School. Division of Statistics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, viii, 53 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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