About this product

Product Identifiers

PublisherSpringer London, The Limited

ISBN-101447153421

ISBN-139781447153429

eBay Product ID (ePID)168605146

Product Key Features

Number of PagesXii, 287 Pages

Publication NameProbability Models

LanguageEnglish

Publication Year2013

SubjectProbability & Statistics / General, Computer Simulation, Computer Science

TypeTextbook

Subject AreaMathematics, Computers

AuthorJohn Haigh

SeriesSpringer Undergraduate Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height0.2 in

Item Weight161.2 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

Dewey Edition21

ReviewsFrom the reviews of the second edition: "This is an introductory book on probabilistic modeling that I can recommend to any student or teacher. It is not only for probability courses, but also for general mathematics, since the proofs, definitions, and examples are so beautifully intermingled and interspersed." (Arturo Ortiz-Tapia, Computing Reviews, November, 2013), From the reviews of the second edition: "It should be on the desk of any university teacher and anybody studying probability and stochastic processes. ... there are exercises given in the end of each chapter. Solutions or good hints are summarised and located at the end of the book. All these make the book more than useful to a wide spectrum of readers. For anybody needing a good introduction to modern probability and stochastic processes, this is the book to start with." (Jordan M. Stoyanov, zbMATH, Vol. 1286, 2014) "This is an introductory book on probabilistic modeling that I can recommend to any student or teacher. It is not only for probability courses, but also for general mathematics, since the proofs, definitions, and examples are so beautifully intermingled and interspersed." (Arturo Ortiz-Tapia, Computing Reviews, November, 2013)

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal519.2

Table Of ContentProbability Spaces.- Conditional Probability and Independence.- Common Probability Distributions.- Random Variables.- Sums of Random Variables.- Convergence and Limit Theorems.- Stochastic Processes in Discrete Time.- Stochastic Processes in Continuous Time.- Appendix: Common Distributions and Mathematical Facts.

SynopsisThe purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics., This book describes how to set up and analyze models of real-life phenomena that involve elements of chance. Includes many worked examples and exercises.

LC Classification NumberQA273.A1-274.9