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Probability and information : an integrated approach /
This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
©2008.
|
| Edición: | 2nd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Applebaum, David, |d 1956- | |
| 245 | 1 | 0 | |a Probability and information : |b an integrated approach / |c David Applebaum. |
| 250 | |a 2nd ed. | ||
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c ©2008. | ||
| 300 | |a 1 online resource (xvi, 273 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to the subject: the concept of probability is given particular attention via a simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information, and added for this new edition is material on Markov chains and their entropy. Lots of examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to most exercises available online for instructors. | ||
| 505 | 0 | |a Cover; Half-title; Title; Copyright; Contents; Preface to the second edition; Preface to the first edition; 1 Introduction; 2 Combinatorics; 3 Sets and measures; 4 Probability; 5 Discrete random variables; 6 Information and entropy; 7 Communication; 8 Random variables with probability density functions; 9 Random vectors; 10 Markov chains and their entropy; Exploring further; Appendix 1: Proof by mathematical induction; Appendix 2: Lagrange multipliers; Appendix 3: Integration of exp -12x2; Appendix 4: Table of probabilities associated with the standardnormal distribution. | |
| 505 | 8 | |a Appendix 5: A rapid review of matrix algebraSelected solutions; Index. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Information theory. | |
| 650 | 6 | |a Probabilités. | |
| 650 | 6 | |a Théorie de l'information. | |
| 650 | 7 | |a probability. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Information theory |2 fast | |
| 650 | 7 | |a Probabilities |2 fast | |
| 776 | 1 | |a Applebaum, David, 1956- |t Probability and information. |b 2nd ed. |d Cambridge ; New York : Cambridge University Press, ©2008 |z 9780521899048 |w (DLC) 2008279233 |w (OCoLC)222156525 | |
| 776 | 0 | 8 | |i Print version: |a Applebaum, David, 1956- |t Probability and information. |b 2nd ed. |d Cambridge ; Cambridge University Press, ©2008 |z 9780521899048 |w (DLC) 2008279233 |w (OCoLC)222156525 |
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