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Discrete Probability

by Hugh Gordon

  • ISBN: 9780387982274
  • ISBN10: 0387982272

Discrete Probability

by Hugh Gordon

  • List Price: $79.99
  • Binding: Hardcover
  • Publisher: Springer Verlag
  • Publish date: 06/01/1997
  • ISBN: 9780387982274
  • ISBN10: 0387982272
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Description: 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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