Probability Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Chow, Yuan Shih; Teicher, Henry; Olkin, I. 作者

译者

1997-9 出版日期

510 页数

$ 111.87 价格

丛书系列

9780387982281 图书编码

Probability Theory 在线电子书图书标签: 概率论概率教材概率数学

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Probability Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Probability Theory 在线电子书图书描述

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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