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Probability for Statisticians

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Cover of 'Probability for Statisticians'

Table of Contents

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    Book Overview
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    Chapter 1 Measures
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    Chapter 2 Measurable Functions and Convergence
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    Chapter 3 Integration
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    Chapter 4 Derivatives via Signed Measures
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    Chapter 5 Measures and Processes on Products
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    Chapter 6 Distribution and Quantile Functions
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    Chapter 7 Independence and Conditional Distributions
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    Chapter 8 WLLN, SLLN, LIL, and Series
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    Chapter 9 Characteristic Functions and Determining Classes
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    Chapter 10 CLTs via Characteristic Functions
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    Chapter 11 Infinitely Divisible and Stable Distributions $$^o$$
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    Chapter 12 Brownian Motion and Empirical Processes
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    Chapter 13 Martingales
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    Chapter 14 Convergence in Law on Metric Spaces $$^o$$
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    Chapter 15 Asymptotics via Empirical Processes
Attention for Chapter 2: Measurable Functions and Convergence
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