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Probability

  • Textbook
  • © 1993

Overview

Authors:
  1. Alan F. Karr

    1. National Institute of Statistical Sciences, USA

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Part of the book series: Springer Texts in Statistics (STS)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxi
    Download chapter PDF

  2. Prelude: Random Walks

    • Alan F. Karr
    Pages 1-14

  3. Probability

    • Alan F. Karr
    Pages 15-42

  4. Random Variables

    • Alan F. Karr
    Pages 43-70

  5. Independence

    • Alan F. Karr
    Pages 71-100

  6. Expectation

    • Alan F. Karr
    Pages 101-134

  7. Convergence of Random Variables

    • Alan F. Karr
    Pages 135-162

  8. Characteristic Functions

    • Alan F. Karr
    Pages 163-182

  9. Classical Limit Theorems

    • Alan F. Karr
    Pages 183-216

  10. Prediction and Conditional Expectation

    • Alan F. Karr
    Pages 217-242

  11. Martingales

    • Alan F. Karr
    Pages 243-270

  12. Back Matter

    Pages 271-283
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Keywords

About this book

This book is a text at the introductory graduate level, for use in the one­ semester or two-quarter probability course for first-year graduate students that seems ubiquitous in departments of statistics, biostatistics, mathemat­ ical sciences, applied mathematics and mathematics. While it is accessi­ ble to advanced ("mathematically mature") undergraduates, it could also serve, with supplementation, for a course on measure-theoretic probability. Students who master this text should be able to read the "hard" books on probability with relative ease, and to proceed to further study in statistics or stochastic processes. This is a book to teach from. It is not encyclopredic, and may not be suitable for all reference purposes. Pascal once apologized to a correspondent for having written a long letter, saying that he hadn't the time to write a short one. I have tried to write a short book, which is quite deliberately incomplete, globally and locally. Many topics, including at least one of everyone's favorites, are omitted, among them, infinite divisibility, interchangeability, large devia­ tions, ergodic theory and the Markov property. These can be supplied at the discretion and taste of instructors and students, or to suit particular interests.

Authors and Affiliations

  • National Institute of Statistical Sciences, USA

    Alan F. Karr

Bibliographic Information

  • Book Title: Probability

  • Authors: Alan F. Karr

  • Series Title: Springer Texts in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-0891-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-387-94071-7Published: 13 August 1993

  • Softcover ISBN: 978-1-4612-6937-3Published: 30 September 2012

  • eBook ISBN: 978-1-4612-0891-4Published: 06 December 2012

  • Series ISSN: 1431-875X

  • Series E-ISSN: 2197-4136

  • Edition Number: 1

  • Number of Pages: XXI, 283

  • Topics: Probability Theory and Stochastic Processes

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