A Basic Course in Probability Theory
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Learn more at: http://www.springer.com/978-3-319-47972-9. Self-contained and suitable for students with varying levels of…
A Basic Course in Probability Theory
Overview of attention for book
Table of Contents
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Altmetric BadgeBook Overview
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Altmetric BadgeChapter 1 Random Maps, Distribution, and Mathematical Expectation
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Altmetric BadgeChapter 2 Independence, Conditional Expectation
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Altmetric BadgeChapter 3 Martingales and Stopping Times
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Altmetric BadgeChapter 4 Classical Central Limit Theorems
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Altmetric BadgeChapter 5 Classical Zero–One Laws, Laws of Large Numbers and Large Deviations
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Altmetric BadgeChapter 6 Fourier Series, Fourier Transform, and Characteristic Functions
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Altmetric BadgeChapter 7 Weak Convergence of Probability Measures on Metric Spaces
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Altmetric BadgeChapter 8 Random Series of Independent Summands
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Altmetric BadgeChapter 9 Kolmogorov’s Extension Theorem and Brownian Motion
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Altmetric BadgeChapter 10 Brownian Motion: The LIL and Some Fine-Scale Properties
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Altmetric BadgeChapter 11 Strong Markov Property, Skorokhod Embedding, and Donsker’s Invariance Principle
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Altmetric BadgeChapter 12 A Historical Note on Brownian Motion
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Altmetric BadgeChapter 13 Some Elements of the Theory of Markov Processes and Their Convergence to Equilibrium