Probabilistic Symmetries and Invariance Principles 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Kallenberg, Olav 作者

Springer Verlag

译者

2005-7 出版日期

524 页数

$ 190.97 价格

HRD

Probability and its Applications- A Series of the Applied Probability Trust 丛书系列

9780387251158 图书编码

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Probabilistic Symmetries and Invariance Principles 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Probabilistic Symmetries and Invariance Principles 在线电子书图书描述

This is the first comprehensive treatment of the three basic symmetries of probability theory - contractability, exchangeability, and rotatability - defined as invariance in distribution under contractions, permutations, and rotations. Originating with the pioneering work of de Finetti from the 1930's, the theory has evolved into a unique body of deep, beautiful, and often surprising results, comprising the basic representations and invariance properties in one and several dimensions, and exhibiting some unexpected links between the various symmetries as well as to many other areas of modern probability. Most chapters require only some basic, graduate level probability theory, and should be accessible to any serious researchers and graduate students in probability and statistics. Parts of the book may also be of interest to pure and applied mathematicians in other areas. The exposition is formally self-contained, with detailed references provided for any deeper facts from real analysis or probability used in the book.

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