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Counterexamples in Probability, 2nd Edition

Counterexamples in Probability, 2nd Edition

Jordan M. Stoyanov

ISBN: 978-0-470-85989-6

Nov 2000

376 pages

Select type: E-Book

$212.99

Description

Counterexamples (in the mathematical sense) are powerful tools of mathematical theory. This book covers counterexamples from probability theory and stochastic processes. This new expanded edition includes many examples and the latest research results. The author is regarded as one of the foremost experts in the field. Contains numbers examples.
Partial table of contents:

CLASSES OF RANDOM EVENTS AND PROBABILITIES.

Classes of Random Events.

Independence of Random Events.

RANDOM VARIABLES AND BASIC CHARACTERISTICS.

Distribution Functions of Random Variables.

Expectations and Conditional Expectations.

Characteristic and Generating Functions.

Infinitely Divisible and Stable Distributions.

The Moment Problem.

Diverse Properties of Random Variables.

LIMIT THEOREMS.

Laws of Large Numbers.

Weak Convergence of Probability Measures and Distributions.

STOCHASTIC PROCESSES.

Basic Notions on Stochastic Processes.

Markov Processes.

Poisson Process and Wiener Process.

Supplementary Remarks.

References.

Index.