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Statistical analysis of type-II progressively hybrid censored samples and adaptive type-II progressively hybrid censored samples from extreme value distribution.

Mak, Man Yung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 115-117). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Introduction --- p.1 / Chapter 1.2 --- Conventional Censoring Schemes --- p.2 / Chapter 1.3 --- Type-II Progressively Hybrid Censoring Scheme --- p.4 / Chapter 1.4 --- Adaptive Type-II Progressively Hybrid Censoring Scheme --- p.6 / Chapter 1.5 --- Extreme Value Distribution --- p.8 / Chapter 1.6 --- The Scope of the Thesis --- p.11 / Chapter 2 --- Estimation methods --- p.12 / Chapter 2.1 --- Introduction --- p.12 / Chapter 2.2 --- Maximum Likelihood Estimators --- p.13 / Chapter 2.2.1 --- Type-II Progressively Hybrid Censoring Scheme --- p.13 / Chapter 2.2.2 --- Adaptive Type-II Progressively Hybrid Censoring Scheme --- p.15 / Chapter 2.3 --- Approximate Maximum Likelihood Estimators --- p.18 / Chapter 2.3.1 --- Type-II Progressively Hybrid Censoring Scheme --- p.18 / Chapter 2.3.2 --- Adaptive Type-II Progressively Hybrid Censoring Scheme --- p.20 / Chapter 2.4 --- Monte Carlo Simulation and Result --- p.23 / Chapter 2.4.1 --- Numerical Comparisons --- p.33 / Chapter 3 --- Construction of Confidence Intervals --- p.35 / Chapter 3.1 --- Introduction --- p.35 / Chapter 3.2 --- Asymptotic Confidence Interval --- p.36 / Chapter 3.2.1 --- Type-II Progressively Hybrid Censoring Scheme --- p.37 / Chapter 3.2.2 --- Adaptive Type-II Progressively Hybrid Censoring Scheme --- p.39 / Chapter 3.3 --- Parametric Percentile Bootstrap Confidence Interval --- p.56 / Chapter 3.3.1 --- Parametric Percentile Bootstrap Confidence Interval based on Maximum Likelihood Estimation method --- p.57 / Chapter 3.3.2 --- Parametric Percentile Bootstrap Confidence Interval based on Approximate Maximum Likelihood Estimation method --- p.65 / Chapter 3.4 --- Parametric Bootstrap-t Confidence Interval --- p.71 / Chapter 3.4.1 --- Parametric Bootstrap-t Confidence Interval based on Maximum Likelihood Estimation method --- p.72 / Chapter 3.4.2 --- Parametric Bootstrap-t Confidence Interval based on Approxi mate Maximum Likelihood Estimation method --- p.79 / Chapter 3.5 --- Numerical Comparisons --- p.86 / Chapter 4 --- Expected Total Test Time --- p.88 / Chapter 4.1 --- Introduction --- p.88 / Chapter 4.2 --- Type-II Progressively Hybrid Censoring Scheme --- p.89 / Chapter 4.3 --- Adaptive Type-II Progressively Hybrid Censoring Scheme --- p.92 / Chapter 4.4 --- Numerical Comparisons --- p.99 / Chapter 5 --- Optimality Criteria and Censoring Schemes --- p.100 / Chapter 5.1 --- Introduction --- p.100 / Chapter 5.2 --- Optimality Criteria --- p.101 / Chapter 5.3 --- Expected Fisher Information Matrix --- p.102 / Chapter 5.3.1 --- Type-II Progressively Hybrid Censoring Scheme --- p.103 / Chapter 5.4 --- Optimal Censoring Scheme for Progressively Hybrid Censoring --- p.106 / Chapter 6 --- Conclusions and Further Research --- p.113 / Bibliography --- p.115

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326753
Date January 2009
ContributorsMak, Man Yung., Chinese University of Hong Kong Graduate School. Division of Statistics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xiv, 117 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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