Mathematics and Its Applications-Vol.378 Limit Theory for Mixing Dependent Random Variables (Out of Print)

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Author: Lin Zhengyan & LuChuanrong
Language: English
ISBN/ISSN: 0792342194
Published on: 1996-01
Hardcover

Contents

Preface
Part I Introduction
Chapter 1 Definitions and Basic Inequalities
Chapter 2 Moment Estimations of Partial Sums
Part II Weak Convergence
Chapter 3 Weak Convergence for α-mixing Sequences
Chapter 4 Weak Convergence for ρ-mixing Sequences
Chapter 5 Weak Convergence for φ-mixing Sequences
Chapter 6 Weak Convergence for Mixing Random Fields
Chapter 7 The Berry-Esseen Inequality and the Rate
Part III Almost Sure Convergence and Strong Approximations
Chapter 8 Laws of Large Numbers and Complete Convergence
Chapter 9 Strong Approximations
Chapter 10 The Increments when the moment
Chapter 11 Strong Approximations of Mixing Random Fields
Part IV Statistics of a Dependent Sample
Chapter 12 Empirical Processes
Chapter 13 Convergence of some Statistics with a Mixing Sample
Chapter 14 Strong Approximations for other Kinds of Dependent Random Variables



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