Modern Discrete Probability: An Essential Toolkit (Cambridge Series in Statistical and Probabilistic Mathematics) - Tapa dura

Roch, S�bastien

9781009305112: Modern Discrete Probability: An Essential Toolkit (Cambridge Series in Statistical and Probabilistic Mathematics)

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ISBN 10: 1009305115 ISBN 13: 9781009305112

Editorial: Cambridge University Press, 2024

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Providing a graduate-level introduction to discrete probability and its applications, this book develops a toolkit of essential techniques for analysing stochastic processes on graphs, other random discrete structures, and algorithms. Topics covered include the first and second moment methods, concentration inequalities, coupling and stochastic domination, martingales and potential theory, spectral methods, and branching processes. Each chapter expands on a fundamental technique, outlining common uses and showing them in action on simple examples and more substantial classical results. The focus is predominantly on non-asymptotic methods and results. All chapters provide a detailed background review section, plus exercises and signposts to the wider literature. Readers are assumed to have undergraduate-level linear algebra and basic real analysis, while prior exposure to graduate-level probability is recommended. This much-needed broad overview of discrete probability could serve as a textbook or as a reference for researchers in mathematics, statistics, data science, computer science and engineering.

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S�bastien Roch is Professor of Mathematics at the University of Wisconsin, Madison. He has been awarded an NSF CAREER award, an Alfred P. Sloan Fellowship, and a Simons Fellowship in Mathematics, and is a Fellow of the Institute for Mathematical Statistics.

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Editorial: Cambridge University Press
A�o de publicaci�n: 2024
Idioma: Ingl�s
ISBN 10: 1009305115
ISBN 13: 9781009305112
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Modern Discrete Probability: An Essential Toolkit (Cambridge Series in Statistical and Probabilistic Mathematics)

Roch, S�bastien

Publicado por Cambridge University Press, 2024

ISBN 10: 1009305115 ISBN 13: 9781009305112

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Modern Discrete Probability : An Essential Toolkit

Roch, S�bastien

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Modern Discrete Probability An

Roch, S�bastien

Publicado por Cambridge University Press, 2024

ISBN 10: 1009305115 ISBN 13: 9781009305112

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Modern Discrete Probability: An Essential Toolkit (Cambridge Series in Statistical and Probabilistic Mathematics)

Roch, S�bastien

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Modern Discrete Probability : An Essential Toolkit

Roch, S�bastien

Publicado por Cambridge University Press, 2024

ISBN 10: 1009305115 ISBN 13: 9781009305112

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Modern Discrete Probability (Hardcover)

Sebastien Roch

Publicado por Cambridge University Press, Cambridge, 2024

ISBN 10: 1009305115 ISBN 13: 9781009305112

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Hardcover. Condici�n: new. Hardcover. Providing a graduate-level introduction to discrete probability and its applications, this book develops a toolkit of essential techniques for analysing stochastic processes on graphs, other random discrete structures, and algorithms. Topics covered include the first and second moment methods, concentration inequalities, coupling and stochastic domination, martingales and potential theory, spectral methods, and branching processes. Each chapter expands on a fundamental technique, outlining common uses and showing them in action on simple examples and more substantial classical results. The focus is predominantly on non-asymptotic methods and results. All chapters provide a detailed background review section, plus exercises and signposts to the wider literature. Readers are assumed to have undergraduate-level linear algebra and basic real analysis, while prior exposure to graduate-level probability is recommended. This much-needed broad overview of discrete probability could serve as a textbook or as a reference for researchers in mathematics, statistics, data science, computer science and engineering. This largely self-contained text introduces discrete probability and its applications, at a level suitable for beginning graduate students in mathematics, computer science, statistics and engineering. Each chapter includes exercises and pointers to the wider literature, covering a wide spectrum of essential techniques and key examples. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de ref. del art�culo: 9781009305112

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