Strong Limit Theorems

By: Lin Zhengyan, Lu Zhuarong

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Hardcover | 31 July 1992

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tEL moi, .. ,' si favait su comment en revenir. je One service mathematics has rendered the n 'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled' discarded nonsense'. The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlineari ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser vice topology has rendered mathematical physics .. .'; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

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Series Editor's Preface
Preface
The Increments of a Wiener and Related Gaussian Processes	p. 1
How Large Are the Increments of a Wiener Process?	p. 1
Some Inferior Limit Results for the Increments of a Wiener Process	p. 20
Further Discussion for Increments of a Wiener Process	p. 27
How Large Are the Increments of a Two-Parameter Wiener Process?	p. 40
The Increments of a Non-Stationary Gaussian Process	p. 62
The Increments of Partial Sums of Independent Random Variables	p. 72
How Large Are the Lag Sums?	p. 76
How Large Are the Csorgo-Revesz Increments?	p. 86
On the Increments Without Moment Hypotheses	p. 100
How Small Are the Increments of Partial Sums of Independent R.V.'s?	p. 112
A Study of Partial Sums with the Help of Strong Approximation	p. 119
Strong Laws of the Processes Generated by Infinite Dimensional Ornstein-Uhlenbeck Processes	p. 129
Partial Sum Process	p. 133
Infinite Series	p. 148
l[superscript 2]-Norm Squared Process	p. 160
Two-Parameter Gaussian Process with Kernel	p. 173
References	p. 191
Table of Contents provided by Blackwell. All Rights Reserved.

Strong Limit Theorems

At a Glance

Hardcover

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How to return your order

Defective items

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