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Probability Theory: Independence, Interchangeability, Martingales (Springer Texts in Statistics) - Softcover
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.
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- PublisherSpringer
- Publication date2003
- ISBN 10 0387406077
- ISBN 13 9780387406077
- BindingPaperback
- Edition number3
- Number of pages511
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Probability Theory: Independence, Interchangeability, Martingales (Springer Texts in Statistics) by Chow, Yuan Shih, Teicher, Henry [Paperback ]
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Probability Theory : Independence; Interchangeability; Martingales
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Probability Theory
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Book Description Taschenbuch. 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. 512 pp. Englisch. Seller Inventory # 9780387406077
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PROBABILITY THEORY: INDEPENDENCE
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Probability Theory: Independence, Interchangeability, Martingales
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Book Description Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9780387406077
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Probability Theory : Independence, Interchangeability, Martingales
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Book Description Taschenbuch. 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 # 9780387406077
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Probability Theory
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Book Description 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 # 5910324
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