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Probability Theory: Independence, Interchangeability, Martingales (Springer Texts in Statistics) - Hardcover

 
9780387982281: Probability Theory: Independence, Interchangeability, Martingales (Springer Texts in Statistics)

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Now available in paperback. This is a text comprising the major theorems of probability theory and the measure theoretical foundations of the subject. The main topics treated are independence, interchangeability,and martingales; particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined presentation of measure and probability. It is easily adapted for graduate students familar with measure theory as indicated by the guidelines in the preface. Special features include: A comprehensive treatment of the law of the iterated logarithm; the Marcinklewicz-Zygmund inequality, its extension to martingales and applications thereof;  development and applications of the second moment analogue of Wald's equation; limit theorems for martingale arrays, the central limit theorem for the interchangeable and martingale cases, moment convergence in the central limit theorem; complete discussion, including central limit theorem, of the random casting of r balls into n cells; recent martingale inequalities; Cram r-L vy theore and factor-closed families of distributions. This edition includes a section dealing with U-statistic, adds additional theorems and examples, and includes simpler versions of some proofs.

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Chow, Yuan Shih; Teicher, Henry
Published by Springer, 1997
ISBN 10: 0387982280 ISBN 13: 9780387982281
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Hardcover. Condition: As New. No Jacket. 3rd Edition. This is a fine, as new, hardcover third edition copy, slick green binding, no DJ, 488 pages with index. Seller Inventory # 104000

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Chow, Yuan Shih & Henry Teicher
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ISBN 10: 0387982280 ISBN 13: 9780387982281
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Hardcover. Condition: Very Good. Hardcover. Springer Verlag. 1997. 489 pages. Springer Texts in Statistics. Third Edition. Issued in pictoral boards. No ownership marks present. Text is clean and free of marks, binding tight and solid, boards clean with no wear present. Comprising the major theorems of probability theory and the measure theoretical foundations of the subject, the main topics treated here are independence, interchangeability, and martingales. Particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined presentation of measure and probability. It is easily adapted for graduate students familiar with measure theory using the guidelines given. E-79; Springer Texts in Statistics; 8vo 8" - 9" tall; 488 pages. Seller Inventory # 61804

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Comprising the major theorems of probability theory and the measure theoretical foundations of the subject, the main topics treated here are independence, interchangeability, and martingales. Particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined presentation of measure and probability. It is easily adapted for graduate students familiar with measure theory using the guidelines given.Special features include: A comprehensive treatment of the law of the iterated logarithm The Marcinklewicz-Zygmund inequality, its extension to martingales and applications thereof Development and applications of the second moment analogue of Walds equation Limit theorems for martingale arrays; the central limit theorem for the interchangeable and martingale cases; moment convergence in the central limit theorem Complete discussion, including central limit theorem, of the random casting of r balls into n cells Recent martingale inequalities Cram r-L vy theorem and factor-closed families of distributions. 516 pp. Englisch. Seller Inventory # 9780387982281

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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A classic book, now in its third edition, is an essential reference to researchers and graduate students in probability theoryThe new edition contains much new material, including U-statistic, additional theorems and examples, as well as simpler v. Seller Inventory # 5913214

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Now available in paperback. This is a text comprising the major theorems of probability theory and the measure theoretical foundations of the subject. The main topics treated are independence, interchangeability,and martingales; particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined presentation of measure and probability. It is easily adapted for graduate students familar with measure theory as indicated by the guidelines in the preface. Special features include: A comprehensive treatment of the law of the iterated logarithm; the Marcinklewicz-Zygmund inequality, its extension to martingales and applications thereof; development and applications of the second moment analogue of Wald's equation; limit theorems for martingale arrays, the central limit theorem for the interchangeable and martingale cases, moment convergence in the central limit theorem; complete discussion, including central limit theorem, of the random casting of r balls into n cells; recent martingale inequalities; Cram r-L vy theore and factor-closed families of distributions. This edition includes a section dealing with U-statistic, adds additional theorems and examples, and includes simpler versions of some proofs. Seller Inventory # 9780387982281

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