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Strong Limit Theorems : Mathematics and Its Applications - Lin Zhengyan

Strong Limit Theorems

Mathematics and Its Applications

Hardcover Published: 31st July 1992
ISBN: 9780792317982
Number Of Pages: 196

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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.

Series Editor's Preface
Preface
The Increments of a Wiener and Related Gaussian Processesp. 1
How Large Are the Increments of a Wiener Process?p. 1
Some Inferior Limit Results for the Increments of a Wiener Processp. 20
Further Discussion for Increments of a Wiener Processp. 27
How Large Are the Increments of a Two-Parameter Wiener Process?p. 40
The Increments of a Non-Stationary Gaussian Processp. 62
The Increments of Partial Sums of Independent Random Variablesp. 72
How Large Are the Lag Sums?p. 76
How Large Are the Csorgo-Revesz Increments?p. 86
On the Increments Without Moment Hypothesesp. 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 Approximationp. 119
Strong Laws of the Processes Generated by Infinite Dimensional Ornstein-Uhlenbeck Processesp. 129
Partial Sum Processp. 133
Infinite Seriesp. 148
l[superscript 2]-Norm Squared Processp. 160
Two-Parameter Gaussian Process with Kernelp. 173
Referencesp. 191
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792317982
ISBN-10: 079231798X
Series: Mathematics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 196
Published: 31st July 1992
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.27
Weight (kg): 0.48

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