by Chan Ho Leung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 128-[131]). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Information Theory --- p.1 / Chapter 1.2 --- Approaches for characterizing Γ*n --- p.4 / Chapter 1.3 --- Outline of the thesis --- p.7 / Chapter 2 --- Quasi-Uniformity --- p.8 / Chapter 2.1 --- Introduction --- p.8 / Chapter 2.2 --- Box Assignment --- p.9 / Chapter 2.2.1 --- Box Assignment --- p.9 / Chapter 2.2.2 --- Conditional Box Assignment --- p.17 / Chapter 2.3 --- Quasi-Uniform Random Variables --- p.18 / Chapter 2.4 --- Main Theorems --- p.20 / Chapter 2.4.1 --- Preliminaries --- p.20 / Chapter 2.4.2 --- Main Theorems --- p.25 / Chapter 2.5 --- Quasi-Uniformity and Inequality --- p.32 / Chapter 2.5.1 --- Quasi-Uniformity and Inequality --- p.32 / Chapter 2.6 --- A New Perspective of Information Inequality --- p.34 / Chapter 2.6.1 --- Combinatorial Inequality --- p.34 / Chapter 2.6.2 --- Relations between combinatorial inequalities and informa- tion inequalities --- p.36 / Chapter 2.7 --- Summary --- p.40 / Chapter 3 --- Groups and Quasi Uniformity --- p.41 / Chapter 3.1 --- Introduction --- p.41 / Chapter 3.2 --- Group --- p.42 / Chapter 3.3 --- Group Represent ability --- p.47 / Chapter 3.4 --- Tightness of Group Represent ability --- p.54 / Chapter 3.4.1 --- Tightness of γn --- p.54 / Chapter 3.5 --- Abelian group represent able --- p.58 / Chapter 3.5.1 --- Δ operator and sub cone con(γαb) --- p.63 / Chapter 3.5.2 --- Decomposition of con(γαb) --- p.67 / Chapter 3.6 --- Summary --- p.73 / Chapter 4 --- Linear Representability --- p.74 / Chapter 4.1 --- Introduction --- p.74 / Chapter 4.2 --- Preliminaries of Vector Space --- p.75 / Chapter 4.3 --- Linear Representability --- p.80 / Chapter 4.3.1 --- Orthogonal Space --- p.80 / Chapter 4.3.2 --- Linear Representability --- p.81 / Chapter 4.3.3 --- Direct Sum --- p.90 / Chapter 4.3.4 --- Conditional Entropy --- p.93 / Chapter 4.4 --- Tightness of γαb --- p.95 / Chapter 4.5 --- Reverse Representation --- p.98 / Chapter 4.6 --- Summary --- p.106 / Chapter A --- AEP and BOX ASSIGNMENT --- p.107 / Chapter B --- Proof of Chapter 4's lemma --- p.110 / Chapter C --- Tightness of and Ψαb --- p.118
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322380 |
| Date | January 1998 |
| Contributors | Chan, Ho Leung, Chinese University of Hong Kong Graduate School. Division of Information Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, vii, 128, [3] 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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