Strong limit theorems
Author(s)
Bibliographic Information
Strong limit theorems
(Mathematics and its applications, . Chinese series)
Science Press , Kluwer Academic Publishers, c1992
- : cc
- : ne
Available at 20 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: ccLIN||30||192075211
Note
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Introduction. 1. Preliminaries. 1. Stationary Sequence (Mixing Conditions, Basic Inqualities). 2. Wiener Process (increment Theory). 3. Skorokhod Theorem. 4. Martingale Convergence Theorem and Goal-Koksme Strong Law of Large Numbers. 5. Moricz Exponent Inequality.2. I.I.D.R.V. 1. Strassen Strong Invariance Principle. 2. Improvement of the Rate of Convergence. 3. The Best Rate, K-M-T Theorem. 4. Increments of Partial Sums. 3. Independent Non-Identically Distributed R.V. 1. Strong Approximations of Partial Sums by Wiener Process. 2. Increments of Partial Sums. 4. Stationary Sequence. 1. Basic Method and its Improvement. 2. Strong Approximations of (alphabeta-Mixing Sequence. 3. Mixing Rate and Approximation Remainder Term. 4. Strong Approximations of alpha(pi)-Mixing Sequence. 5. Strong Approximations of Functions of Mixing Sequence. 6. Increments of Partial Sums for phi-Mixing Sequence. 5. Strong Approximations of Other Kinds of Dependent Sequence and Statistics. 1. Lacunary Trigonometric Series. 2. Gaussian Sequence. 3. Additive Functional of Markov Process. 4. U-Statistics. 5. Estimators of Error Variance. 6. Miscellany.
by "Nielsen BookData"