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Home > Mathematics and Science Textbooks > Mathematics > Probability and statistics > Heads or Tails: An Introduction to Limit Theorems in Probability(Student Mathematical Library)
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Heads or Tails: An Introduction to Limit Theorems in Probability(Student Mathematical Library)

Heads or Tails: An Introduction to Limit Theorems in Probability(Student Mathematical Library)


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About the Book

Everyone knows some of the basics of probability, perhaps enough to play cards. Beyond the introductory ideas, there are many wonderful results that are unfamiliar to the layman, but which are well within our grasp to understand and appreciate. Some of the most remarkable results in probability are those that are related to limit theorems - statements about what happens when the trial is repeated many times. The most famous of these is the Law of Large Numbers, which mathematicians, engineers, economists, and many others use every day. In this book, Lesigne has made these limit theorems accessible by stating everything in terms of a game of tossing of a coin: heads or tails. In this way, the analysis becomes much clearer, helping establish the reader's intuition about probability. Moreover, very little generality is lost, as many situations can be modelled from combinations of coin tosses. This book is suitable for anyone who would like to learn more about mathematical probability and has had a one-year undergraduate course in analysis.

Table of Contents:
Prerequisites and overview Modeling a probabilistic experiment Random variables Independence The binomial distribution The weak law of large numbers The large deviations estimate The central limit theorem The moderate deviations estimate The local limit theorem The arcsine law The strong law of large numbers The law of the iterated logarithm Recurrence of random walks Epilogue Biographies Bibliography Index.


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Product Details
  • ISBN-13: 9780821837146
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • Returnable: N
  • Sub Title: An Introduction to Limit Theorems in Probability
  • ISBN-10: 0821837141
  • Publisher Date: 30 Jun 2005
  • Binding: Paperback
  • No of Pages: 150
  • Series Title: Student Mathematical Library
  • Weight: 202 gr


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Heads or Tails: An Introduction to Limit Theorems in Probability(Student Mathematical Library)
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Heads or Tails: An Introduction to Limit Theorems in Probability(Student Mathematical Library)
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