概率和鞅

分類: 图书,自然科学,数学,概率论与数理统计,
作者: (英)威廉姆斯 著
出 版 社: 世界图书出版公司
出版时间: 2008-9-1字数:版次: 1页数: 251印刷时间: 2008/09/01开本: 16开印次: 1纸张: 胶版纸I S B N : 9787506292511包装: 平装目录
Preface-please read!
A Question of Terminology
A Guide to Notation
Chapter 0 A Branching-Process Example
PAPR A: FOUNDATIONS
Chapter 1 Measure Spaces
Chapter 2 Events
Chapter 3 Random Variables
Chapter 4 Independence
Chapter 5 Integration
Chapter 6 Expectation
Chapter 7 An Easy Strong Law
Chapter 8 Product Measure
PART B: MARTINGALE THEORY
Chapter 9 Conditional Expectation
Chapter 10 Martingales
Chapter 11 The Convergence Theorem
Chapter 12 Martingales Bounded in
Chapter 13 Uniform Integrability
Chapter 14 UI Martingales
Chapter 15 Applications
PART C CHARACTERISTIC FUNCTIONS
Chapter 16 Basic Properties of CFs
Chapter 17 Weak Convergence
Chapter 18 The Central Limit Theorem
APPENDICES
Chapter A1:Appendix to Chapter 1
Chapter A3:Appendix to Chapter 3
Chapter A4:Appendix to Chapter 4
Chapter A5:Appendix to Chapter 5
Chapter A9:Appendix to Chapter 9
Chapter A13:Appendix to Chapter 13
Chapter A14:Appendix to Chapter 14
Chapter A18:Appendix to Chapter 16
Chapter E: Exercises
References
Index