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Markov Chains : Theory and Applications - new book

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Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communic… More...

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C. Langdon Fielding:

Markov Chains : Theory and Applications - new book

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Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communic… More...

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Bassem Jarboui:
Markov Chains - new book

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Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communic… More...

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Rosh Sillars:
Markov Chains - new book

ISBN: 9781118731444

Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communic… More...

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Bruno Sericola:
Markov Chains - First edition

2013, ISBN: 9781118731444

Theory and Applications, [ED: 1], 1. Auflage, eBook Download (EPUB,PDF), eBooks, [PU: John Wiley & Sons]

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Details of the book - Markov Chains


EAN (ISBN-13): 9781118731444
ISBN (ISBN-10): 1118731441
Publishing year: 2013
Publisher: Wiley, J
Language: eng/Englisch

Book in our database since 2012-04-29T08:00:35+01:00 (London)
Detail page last modified on 2023-06-02T11:22:47+01:00 (London)
ISBN/EAN: 9781118731444

ISBN - alternate spelling:
1-118-73144-1, 978-1-118-73144-4
Alternate spelling and related search-keywords:
Book author: bruno, fielding
Book title: markov chains


Information from Publisher

Author: Bruno Sericola
Title: Markov Chains - Theory and Applications
Publisher: Wiley-ISTE; John Wiley & Sons
416 Pages
Publishing year: 2013-08-05
Language: English
112,99 € (DE)
Not available (reason unspecified)

EA; E107; E-Book; Nonbooks, PBS / Mathematik; Angewandte Mathematik; Angewandte Mathematik; Applied Mathematics; Mathematics; Mathematik; Angewandte Mathematik; BB

Preface ix Chapter 1. Discrete-Time Markov Chains 1 1.1. Definitions and properties 1 1.2. Strong Markov property 5 1.3. Recurrent and transient states 8 1.4. State classification 12 1.5. Visits to a state 14 1.6. State space decomposition 18 1.7. Irreducible and recurrent Markov chains 22 1.8. Aperiodic Markov chains 30 1.9. Convergence to equilibrium 34 1.10. Ergodic theorem 41 1.11. First passage times and number of visits 53 1.12. Finite Markov chains 68 1.13. Absorbing Markov chains 70 1.14. Examples 76 1.15. Bibliographical notes 87 Chapter 2. Continuous-Time Markov Chains 89 2.1. Definitions and properties 92 2.2. Transition functions and infinitesimal generator 93 2.3. Kolmogorov's backward equation 108 2.4. Kolmogorov's forward equation 114 2.5. Existence and uniqueness of the solutions 127 2.6. Recurrent and transient states 130 2.7. State classification 137 2.8. Explosion 141 2.9. Irreducible and recurrent Markov chains 148 2.10. Convergence to equilibrium 162 2.11. Ergodic theorem 166 2.12. First passage times 172 2.13. Absorbing Markov chains 184 2.14. Bibliographical notes 190 Chapter 3. Birth-and-Death Processes 191 3.1. Discrete-time birth-and-death processes 191 3.2. Absorbing discrete-time birth-and-deathprocesses 200 3.3. Periodic discrete-time birth-and-death processes 208 3.4. Continuous-time pure birth processes 209 3.5. Continuous-time birth-and-death processes 213 3.6. Absorbing continuous-time birth-and-death processes 228 3.7. Bibliographical notes 233 Chapter 4. Uniformization 235 4.1. Introduction 235 4.2. Banach spaces and algebra 237 4.3. Infinite matrices and vectors 243 4.4. Poisson process 249 4.5. Uniformizable Markov chains 263 4.6. First passage time to a subset of states 273 4.7. Finite Markov chains 275 4.8. Transient regime 276 4.9. Bibliographical notes 286 Chapter 5. Queues 287 5.1. The M/M/1 queue 288 5.2. The M/M/c queue 315 5.3. The M/M/ infinity queue 318 5.4. Phase-type distributions 323 5.5. Markovian arrival processes 326 5.6. Batch Markovian arrival process 342 5.7. Block-structured Markov chains 352 5.8. Applications 370 5.9. Bibliographical notes 380 Appendix 1 Basic Results 381 Bibliography 387 Index 395

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