Cover image for Probability through problems
Title:
Probability through problems
Personal Author:
Series:
Problem books in mathematics
Publication Information:
New York, NY : Springer, 2001
Physical Description:
viii, 257 p. ; 24 cm.
ISBN:
9780387950631

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30000010226135 QA273.25 C36 2001 Open Access Book Book
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30000010226200 QA273.25 C36 2001 Open Access Book Book
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Summary

Summary

This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.


Table of Contents

Modelling Random Experiments
Classical Probability Spaces
Fields
Finitely Additive Probability
Sigma Fields
Countably Additive Probability
Conditional Probability and Independence
Random Variables and Their Distributions
Expectation and Variance
Conditional Expectation
Characteristic Functions
Limit Theorems
Bibliography