An introduction to probability theory and its applications  v. 1

William Feller

Major changes in this edition include the substitution of probabilistic arguments for combinatorial artifices, and the addition of new sections on branching processes, Markov chains, and the De Moivre-Laplace theorem.

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  • Introduction: The Nature of Probability Theory. The Sample Space. Elements of Combinatorial Analysis. Fluctuations in Coin Tossing and Random Walks. Combination of Events. Conditional Probability. Stochastic Independence. The Binomial and Poisson Distributions. The Normal Approximation to the Binomial Distribution. Unlimited Sequences of Bernoulli Trials. Random Variables
  • Expectation. Laws of Large Numbers. Integral Valued Variables. Generating Functions. Compound Distributions. Branching Processes. Recurrent Events. Renewal Theory. Random Walk and Ruin Problems. Markov Chains. Algebraic Treatment of Finite Markov Chains. The Simplest Time-Dependent Stochastic Processes. Answers to Problems.

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書名 An introduction to probability theory and its applications
著作者等 Feller, William
シリーズ名 Wiley series in probability and mathematical statistics
巻冊次 v. 1
出版元 Wiley
刊行年月 c1968
版表示 3rd ed., rev. print
ページ数 v.
大きさ 24 cm
ISBN 9780471257080
NCID BA00168046
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言語 英語
出版国 アメリカ合衆国

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