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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 General Topology and Hilbert Space
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    Chapter 7 Distribution and Quantile Functions
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    Chapter 8 Independence and Conditional Distributions
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    Chapter 9 Special Distributions
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    Chapter 10 WLLN, SLLN, LIL, and Series
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    Chapter 11 Convergence in Distribution
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    Chapter 12 Brownian Motion and Empirical Processes
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    Chapter 13 Characteristic Functions
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    Chapter 14 CLTs via Characteristic Functions
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    Chapter 15 Infinitely Divisible and Stable Distributions
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    Chapter 16 Asymptotics via Empirical Proceses
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    Chapter 17 Asymptotics via Stein’s Approach
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    Chapter 18 Martingales
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    Chapter 19 Convergence in Law on Metric Spaces
Attention for Chapter 6: General Topology and Hilbert Space
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