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Counterexamples in probability / Jordan M. Stoyanov.

By: Material type: TextTextSeries: Wiley series in probability and statistics. Probability and statistics.Publisher: Chichester ; New York : Wiley, [1997]Copyright date: ©1997Edition: Second editionDescription: xxviii, 342 pages : illustrations ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0471965383
  • 9780471965381
Subject(s): DDC classification:
  • 519.2 20
LOC classification:
  • QA273 .S7535 1997
Online resources:
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.
Summary: "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."--Publisher description.
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Includes bibliographical references (pages 317-338) and index.

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.

"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."--Publisher description.

Machine converted from AACR2 source record.

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