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Exercises in Probability

  • Textbook
  • © 1989

Overview

Authors:
  1. T. Cacoullos

    1. Department of Mathematics, University of Athens, Athens, Greece

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Part of the book series: Problem Books in Mathematics (PBM)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
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  2. Elementary Probabilities

    1. Front Matter

      Pages 1-1
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    2. Basic Probabilities. Discrete Spaces

      • T. Cacoullos
      Pages 3-16

    3. Distributions. Random Variables

      • T. Cacoullos
      Pages 17-23

    4. Expectation. Variance. Moments

      • T. Cacoullos
      Pages 24-29

    5. General Problems

      • T. Cacoullos
      Pages 30-36

  3. Advanced Topics

    1. Front Matter

      Pages 37-37
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    2. Multivariate Distributions

      • T. Cacoullos
      Pages 39-46

    3. Generating Functions. Characteristic Functions

      • T. Cacoullos
      Pages 47-54

    4. Distribution of Functions of Random Variables

      • T. Cacoullos
      Pages 55-62

    5. Limit Theorems. Laws of Large Numbers. Central Limit Theorems

      • T. Cacoullos
      Pages 63-69

    6. Special Topics: Inequalities, Geometrical Probabilities, Difference Equations

      • T. Cacoullos
      Pages 70-77

    7. General Exercises

      • T. Cacoullos
      Pages 78-82

  4. Back Matter

    Pages 83-248
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Keywords

About this book

The author, the founder of the Greek Statistical Institute, has based this book on the two volumes of his Greek edition which has been used by over ten thousand students during the past fifteen years. It can serve as a companion text for an introductory or intermediate level probability course. Those will benefit most who have a good grasp of calculus, yet, many others, with less formal mathematical background can also benefit from the large variety of solved problems ranging from classical combinatorial problems to limit theorems and the law of iterated logarithms. It contains 329 problems with solutions as well as an addendum of over 160 exercises and certain complements of theory and problems.

Authors and Affiliations

  • Department of Mathematics, University of Athens, Athens, Greece

    T. Cacoullos

Bibliographic Information

  • Book Title: Exercises in Probability

  • Authors: T. Cacoullos

  • Series Title: Problem Books in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4526-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1989

  • Hardcover ISBN: 978-0-387-96735-6Published: 19 December 1988

  • Softcover ISBN: 978-1-4612-8863-3Published: 26 September 2011

  • eBook ISBN: 978-1-4612-4526-1Published: 06 December 2012

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 1

  • Number of Pages: X, 248

  • Topics: Probability Theory and Stochastic Processes

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