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Introduction to the theory of probability / Parimal Mukhopadhyay.

By: Material type: TextTextPublication details: Singapore : World Scientific, ©2012.Description: xvii, 474 pages : illustrations ; 24 cmISBN:
  • 9789814313421
Subject(s): DDC classification:
  • 519.2 23 M953
Contents:
1. Preliminaries -- 2. The classical approach -- 3. Axiomatic approach -- 4. Random variables and probability distributions -- 5. Expectation of a discrete random variable -- 6. Some properties of a probability distribution on R -- 7. Generating functions -- 8. Some discrete distributions on R -- 9. Some continuous distributions on R -- 10. Probability distribution on R -- 11. Probability distributions of functions of random variables -- 12. Convergence of a sequence of random variables -- 13. Elements of stochastic process -- Appendix.
Summary: The Theory of Probability is a major tool that can be used to explain and understand the various phenomena in different natural, physical and social sciences. This book provides a systematic exposition of the theory in a setting which contains a balanced mixture of the classical approach and the modern day axiomatic approach.
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Includes bibliographical references and index.

1. Preliminaries --
2. The classical approach --
3. Axiomatic approach --
4. Random variables and probability distributions --
5. Expectation of a discrete random variable --
6. Some properties of a probability distribution on R --
7. Generating functions --
8. Some discrete distributions on R --
9. Some continuous distributions on R --
10. Probability distribution on R --
11. Probability distributions of functions of random variables --
12. Convergence of a sequence of random variables --
13. Elements of stochastic process --
Appendix.

The Theory of Probability is a major tool that can be used to explain and understand the various phenomena in different natural, physical and social sciences. This book provides a systematic exposition of the theory in a setting which contains a balanced mixture of the classical approach and the modern day axiomatic approach.

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