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
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326753 |
| Date | January 2009 |
| Contributors | Mak, Man Yung., Chinese University of Hong Kong Graduate School. Division of Statistics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xiv, 117 leaves : ill. ; 30 cm. |
| Rights | Use 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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