Measure Theory and Probability Theory (Springer Texts in Statistics) （pdf 高清 非影印）
Krishna B. Athreya (Author), Soumendra N. Lahiri (Author)
Product Details

• Hardcover: 632 pages
• Publisher: Springer; 1 edition (July 27, 2006)
• Language: English
• ISBN-10: 038732903X
• ISBN-13: 978-0387329031
  

ContentsPreface vii
Measures and Integration: An Informal Introduction 1
1 Measures 9
2 Integration 39
3 LP-Spaces 834 Differentiation 113
5 Product Measures, Convolutions, and Transforms 147
6 Probability Spaces 189
7 Independence 219
8 Laws of Large Numbers 237
9 Convergence in Distribution 287
10 Characteristic Functions 317
11 Central Limit Theorems 343
12 Conditional Expectation and Conditional Probability 383
13 Discrete Parameter Martingales 399
14 Markov Chains and MCMC 439
15 Stochastic Processes 487
16 Limit Theorems for Dependent Processes 509
17 The Bootstrap 533
18 Branching Processes 561
A Advanced Calculus: A Review 573
B List of Abbreviations and Symbols 599



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