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Probability Theory : Independence, Interchangeability, Martingales

Author: Yuan Shih Chow; Henry Teicher
Publisher: New York, NY : Springer US, 1988.
Series: Springer texts in statistics.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
This book is an introductory text on the beginning graduate level. Its subjects are the measure theoretical foundation of the theory and the main laws and theorems which emerge therefrom. The authors concentrate on certain important topics, primarily independence, interchangeability, and martingales. Particular emphasis is placed on stopping times, as tools in proving theorems as well as objects of interest in  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Yuan Shih Chow; Henry Teicher
ISBN: 9781468405040 1468405047
OCLC Number: 851818866
Description: 1 online resource (xviii, 467 pages).
Contents: Classes of Sets, Measures, and Probability Spaces --
Binomial Random Variables --
Independence --
Integration in a Probability Space --
Sums of Independent Random Variables --
Measure Extensions, Lebesgue-Stieltjes Measure, Kolmogorov Consistency Theorem --
Conditional Expectation, Conditional Independence, Introduction to Martingales --
Distribution Functions and Characteristic Functions --
Central Limit Theorems --
Limit Theorems for Independent Random Variables --
Martingales --
Infinitely Divisible Laws --
Index.
Series Title: Springer texts in statistics.
Responsibility: by Yuan Shih Chow, Henry Teicher.

Abstract:

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  Read more...

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