Overview
- Authors:
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Yuan Shih Chow
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Department of Mathematical Statistics, Columbia University, New York, USA
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Henry Teicher
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Department of Statistics, Rutgers University, New Brunswick, USA
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Table of contents (12 chapters)
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Front Matter
Pages i-xviii
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- Yuan Shih Chow, Henry Teicher
Pages 1-29
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- Yuan Shih Chow, Henry Teicher
Pages 30-53
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- Yuan Shih Chow, Henry Teicher
Pages 54-83
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- Yuan Shih Chow, Henry Teicher
Pages 84-112
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- Yuan Shih Chow, Henry Teicher
Pages 113-158
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- Yuan Shih Chow, Henry Teicher
Pages 159-201
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- Yuan Shih Chow, Henry Teicher
Pages 202-251
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- Yuan Shih Chow, Henry Teicher
Pages 252-294
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- Yuan Shih Chow, Henry Teicher
Pages 295-335
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- Yuan Shih Chow, Henry Teicher
Pages 336-385
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- Yuan Shih Chow, Henry Teicher
Pages 386-423
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- Yuan Shih Chow, Henry Teicher
Pages 424-457
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Back Matter
Pages 458-467
About this book
Apart from new examples and exercises, some simplifications of proofs, minor improvements, and correction of typographical errors, the principal change from the first edition is the addition of section 9.5, dealing with the central limit theorem for martingales and more general stochastic arrays. vii Preface to the First Edition Probability theory is a branch of mathematics dealing with chance phenomena and has clearly discernible links with the real world. The origins of the sub ject, generally attributed to investigations by the renowned French mathe matician Fermat of problems posed by a gambling contemporary to Pascal, have been pushed back a century earlier to the Italian mathematicians Cardano and Tartaglia about 1570 (Ore, 1953). Results as significant as the Bernoulli weak law of large numbers appeared as early as 1713, although its counterpart, the Borel strong law oflarge numbers, did not emerge until 1909. Central limit theorems and conditional probabilities were already being investigated in the eighteenth century, but the first serious attempts to grapple with the logical foundations of probability seem to be Keynes (1921), von Mises (1928; 1931), and Kolmogorov (1933).
Authors and Affiliations
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Department of Mathematical Statistics, Columbia University, New York, USA
Yuan Shih Chow
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Department of Statistics, Rutgers University, New Brunswick, USA
Henry Teicher