Discrete Probability - Brossura

Gordon, Hugh

 
9781461273592: Discrete Probability

Sinossi

"Discrete Probability" is an introductory textbook for a first course in probability theory. The book comprises a collection of 405 problems with answers at the end of the book. Half page long biographical essays give the reader insights in the lifes of such famous contributors to probability as Fermat, Pascal, Laplace, Bayes, Bernoulli, Stirling, Markov, and many others. A wide range of readers will enjoy this book and it should be useful in the undergraduate programs at many colleges and universities.

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Recensione

"The strength of the book are undoubtedly its exercises (over 400 of them), all with numerical solutions, and the many interesting remarks on the history of probability theory and biographies of important personalities that are scattered throughout the book."
European Mathematical Society Newsletter, December 2000

Contenuti

1 Introduction.- 2 Counting.- 2.1 order counts, with replacement.- 2.2 order counts, without replacement.- 2.3 order does not count, without replacement.- 2.4 order does not count, with replacement.- 3 Independence and Conditional Probability.- 3.1 Independence.- 3.2 Bernoulli Trials.- 3.3 The Most Likely Number of Successes.- 3.4 Conditional Probability.- 4 Random Variables.- 4.1 Expected Value and Variance.- 4.2 Computation of Expected Value and Variance.- 5 More About Random Variables.- 5.1 The Law of Large Numbers.- 5.2 Conditional Probability.- 5.3 Computation of Variance.- 6 Approximating Probabilities.- 6.1 The Poisson Distribution.- 6.2 Stirling's Formula.- 6.3 The Normal Distribution.- 7 Generating Functions.- 8 Random Walks.- 8.1 The Probability Peter Wins.- 8.2 The Duration of Play.- 9 Markov Chains.- 9.1 What Is a Markov Chain?.- 9.2 Where Do We Get and How Often?.- 9.3 How Long Does It Take?.- 9.4 What Happens in the Long Run?.- Table of Important Distributions.- Answers.

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Altre edizioni note dello stesso titolo

9780387982274: Discrete Probability

Edizione in evidenza

ISBN 10:  0387982272 ISBN 13:  9780387982274
Casa editrice: Springer-Verlag GmbH, 1997
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