Foundations and Trends® in Communications and Information Theory > Vol 4 > Issue 2–3

Reliability Criteria in Information Theory and in Statistical Hypothesis Testing

Evgueni A. Haroutunian, Inst. for Informatics and Automation Problems, National Academy of Sciences of Armenia, Republic of Armenia, eghishe@sci.am Mariam E. Haroutunian, Inst. for Informatics and Automation Problems, National Academy of Sciences of Armenia, Republic of Armenia, armar@ipia.sci.am Ashot N. Harutyunyan, AvH Fellow, Inst. für Experimentelle Mathematik, Universität Duisburg-Essen, Germany, ashot@iem.uni-due.de
 
Suggested Citation
Evgueni A. Haroutunian, Mariam E. Haroutunian and Ashot N. Harutyunyan (2008), "Reliability Criteria in Information Theory and in Statistical Hypothesis Testing", Foundations and Trends® in Communications and Information Theory: Vol. 4: No. 2–3, pp 97-263. http://dx.doi.org/10.1561/0100000008

Published: 28 Feb 2008
© 2008 E. A. Haroutunian, M. E. Haroutunian and A. N. Harutyunyan
 
Subjects
Information theory and statistics
 

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In this article:
1. Introduction
2. E-capacity of the Discrete Memoryless Channel
3. Multiuser Channels
4. E-capacity of Varying Channels
5. Source Coding Rates Subject to Fidelity and Reliability Criteria
6. Reliability Criterion in Multiterminal Source Coding
7. Logarithmically Asymptotically Optimal Testing of Statistical Hypotheses
Basic Notations and Abbreviations
References

Abstract

This survey is devoted to one of the central problems of Information Theory — the problem of determination of interdependence between coding rate and error probability exponent for different information transmission systems. The overview deals with memoryless systems of finite alphabet setting. It presents material complementary to the contents of the series of the most remarkable in Information Theory books of Feinstain, Fano, Wolfowitz, Gallager, Csiszar and Körner, Kolesnik and Poltirev, Blahut, Cover and Thomas and of the papers by Dobrushin, Gelfand and Prelov.

We briefly formulate fundamental notions and results of Shannon theory on reliable transmission via coding and give a survey of results obtained in last two-three decades by the authors, their colleagues and some other researchers. The paper is written with the goal to make accessible to a broader circle of readers the theory of rate-reliability. We regard this concept useful to promote the noted problem solution in parallel with elaboration of the notion of reliability-reliability dependence relative to the statistical hypothesis testing and identification.

DOI:10.1561/0100000008
ISBN: 978-1-60198-046-5
188 pp. $125.00
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ISBN: 978-1-60198-047-2
188 pp. $150.00
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Table of contents:
1. Introduction
2. E-capacity of the DMC
3. Multiuser Channels
4. E-capacity of Varying Channels
5. Source Coding Rates Subject to Fidelity and Reliability Criteria
6. Reliability Criterion in Multiterminal Source Coding
7. Logarithmically Asymptotically Optimal Testing of Statistical Hypotheses
Basic Notations and Abbreviations
References

Reliability Criteria in Information Theory and in Statistical Hypothesis Testing

Reliability Criteria in Information Theory and Statistical Hypothesis Testing is devoted to one of the central problems of Information Theory; the problem of determination of interdependence of coding rate and of error probability exponent for different information transmission systems. The overview deals with memoryless systems of finite alphabet setting.

Reliability Criteria in Information Theory and Statistical Hypothesis Testingbriefly formulates fundamental notions and results of Shannon theory on reliable transmission via coding and gives a survey of results obtained in last two-three decades by the authors, their colleagues and other researchers. The book is written with the goal to make accessible to a broader circle of readers the concept of rate-reliability. This concept is useful to solve these problems as well as elaborating the idea of reliability-reliability dependence related to statistical hypothesis testing and identification.

Reliability Criteria in Information Theory and Statistical Hypothesis Testing is for students, researchers and professionals working in Information Theory.

 
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