A graduate course in probability

by Tucker, Howard G.

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A Graduate Course in Probability.

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Title Statements

Full title :A graduate course in probability / Howard G. Tucker.

Summary

A Graduate Course in Probability.

Edition Statements

Publication Date:1967.

Publication Statements

Publisher(s):Academic Press
Place of Publication:New York
Language:eng
Publication Date:1967.

The Physical Object

Description:1 online resource (xiii, 273 pages)

Edition Identifiers

ISBN:9781483220505, 1483220508
oclc:ocn893872870
LC Classification:QA273
Dewey Decimal:519/.1

Front Cover; A Graduate Course in Probability; Copyright Page; Dedication; Preface; Table of Contents; CHAPTER 1. Probability Spaces; 1.1 Sigma Fields; 1.2 Probability Measures; 1.3 Random Variables; CHAPTER 2. Probability Distributions; 2.1. Univariate Distribution Functions; 2.2. Multivariate Distribution Functions; 2.3. Distribution of a Set of Infinitely Many Random Variables; 2.4. Expectation; 2.5. Characteristic Functions; CHAPTER 3. Stochastic Independence; 3.1. Independent Events; 3.2. Independent Random Variables; 3.3. The Zero-One Law; CHAPTER 4. Basic Limiting Operations.

4.1. Convergence of Distribution Functions4.2. The Continuity Theorem; 4.3. Refinements of the Continuity Theorem for Nonvanishing Characteristic Functions; 4.4. The Four Types of Convergence: Almost Sure, in Law, in Probability, and in rth Mean; CHAPTER 5. Strong Limit Theorems for Independent Random Variables; 5.1. Almost Sure Convergence of Series of Independent Random Variables; 5.2. Proof that Convergence in Law of a Series of Independent Random Variables Implies Almost Sure Convergence; 5.3. The Strong Law of Large Numbers; 5.4. The Glivenko-Cantelli Theorem.

5.5. Inequalities for the Law of th…