Probability Theory : Independence, Interchangeability, Martingales download PDF, EPUB, Kindle
Probability Theory : Independence, Interchangeability, Martingales download PDF, EPUB, Kindle
Probability Theory : Independence, Interchangeability, Martingales.cYuan Shih Chow
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Author: Yuan Shih Chow
Page Count: 489 pages
Published Date: 17 Oct 2003
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
ISBN: 9780387406077
File size: 16 Mb
File Name: Probability.Theory.Independence,.Interchangeability,.Martingales.pdf
Download Link: Probability Theory Independence, Interchangeability, Martingales
---------------------------------------------------------------
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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Probability Theory : Independence, Interchangeability, Martingales.cYuan Shih Chow
Author: Yuan Shih Chow
Page Count: 489 pages
Published Date: 17 Oct 2003
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
ISBN: 9780387406077
File size: 16 Mb
File Name: Probability.Theory.Independence,.Interchangeability,.Martingales.pdf
Download Link: Probability Theory Independence, Interchangeability, Martingales
---------------------------------------------------------------
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.
Read online Probability Theory : Independence, Interchangeability, Martingales Buy and read online Probability Theory : Independence, Interchangeability, Martingales Download and read Probability Theory : Independence, Interchangeability, Martingales for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Probability Theory : Independence, Interchangeability, Martingales ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
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