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Aspects of information inequalities and its applications.

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322380
Date January 1998
ContributorsChan, Ho Leung, Chinese University of Hong Kong Graduate School. Division of Information Engineering.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vii, 128, [3] 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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