Cheung, Man Wah. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 50-53). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Stochastic Stability --- p.2 / Chapter 1.2 --- Some Examples --- p.3 / Chapter 1.3 --- Our Main Focus --- p.5 / Chapter 1.4 --- Thesis Outline --- p.6 / Chapter 2 --- KMR's Approach and its Variations --- p.7 / Chapter 2.1 --- KMR's Approach --- p.7 / Chapter 2.2 --- Variations --- p.12 / Chapter 2.2.1 --- Bergin and Lipman (1996) --- p.12 / Chapter 2.2.2 --- Anderlini and Ianni (1996) --- p.12 / Chapter 2.2.3 --- Robson and Vega-Redondo (1996) --- p.13 / Chapter 2.2.4 --- Robles (1998) and Pak (2008) --- p.13 / Chapter 3 --- Mathematical Reviews on Nonstationary Markov Chain --- p.15 / Chapter 3.1 --- Ergodic Coefficient --- p.15 / Chapter 3.2 --- Weak Ergodicity --- p.16 / Chapter 3.3 --- Strong Ergodicity --- p.18 / Chapter 4 --- Existing Works on Time-Dependent Mutation Rates --- p.20 / Chapter 4.1 --- Model and Definitions --- p.20 / Chapter 4.2 --- Sufficient Condition for Weak Ergodicity --- p.23 / Chapter 4.3 --- Sufficient Condition for Strong Ergodicity --- p.24 / Chapter 5 --- Time-Dependent Mutations and Empirical Distribution --- p.26 / Chapter 5.1 --- Model --- p.28 / Chapter 5.2 --- Convergence of Empirical Distribution --- p.30 / Chapter 5.3 --- Proofs of Claims --- p.35 / Chapter 5.3.1 --- Proofs of Claims l(a)-(d) --- p.36 / Chapter 5.3.2 --- Proof of Claim 2 --- p.39 / Chapter 6 --- Open Problems --- p.42 / Chapter 6.1 --- Numerical Example and Simulations --- p.43 / Chapter 6.2 --- Numerical Results --- p.44 / Chapter 6.3 --- Other Discussions --- p.47 / Chapter 7 --- Conclusion --- p.48 / Bibliography --- p.50
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327225 |
| Date | January 2010 |
| Contributors | Cheung, Man Wah., Chinese University of Hong Kong Graduate School. Division of Economics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, vi, 53 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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