Introduction to Probability Theory and Its Applications
3rd Edition
Published on 1. January 1968
Book
Hardback
XVIII, 510 pages
978-0-471-25708-0 (ISBN)
Description
A complete guide to the theory and practical applications of probability theory
An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.
More details
Series
Edition
3. Auflage
Language
English
Place of publication
New York
United States
Target group
College/higher education
Professional and scholarly
Edition type
New edition
Product notice
Laminated cover
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 33 mm
Weight
909 gr
ISBN-13
978-0-471-25708-0 (9780471257080)
Schweitzer Classification
Person
William "Vilim" Feller was a Croatian-American mathematician specializing in probability theory.
Content
Introduction: The Nature of Probability Theory.
The Sample Space.
Elements of Combinatorial Analysis.
Fluctuations in Coin Tossing and Random Walks.
Combination of Events.
Conditional Probability.
Stochastic Independence.
The Binomial and Poisson Distributions.
The Normal Approximation to the Binomial Distribution.
Unlimited Sequences of Bernoulli Trials.
Random Variables;
Expectation.
Laws of Large Numbers.
Integral Valued Variables.
Generating Functions.
Compound Distributions.
Branching Processes.
Recurrent Events.
Renewal Theory.
Random Walk and Ruin Problems.
Markov Chains.
Algebraic Treatment of Finite Markov Chains.
The Simplest Time-Dependent Stochastic Processes.
Answers to Problems.