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Probability and Statistical Inference

Volume 1: Probability

  • Textbook
  • © 1985

Overview

Authors:
  1. J. G. Kalbfleisch

    1. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Canada

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • J. G. Kalbfleisch
    Pages 1-21

  3. Equi-Probable Outcomes

    • J. G. Kalbfleisch
    Pages 22-63

  4. The Calculus of Probability

    • J. G. Kalbfleisch
    Pages 64-106

  5. Discrete Variates

    • J. G. Kalbfleisch
    Pages 107-154

  6. Mean and Variance

    • J. G. Kalbfleisch
    Pages 155-199

  7. Continuous Variates

    • J. G. Kalbfleisch
    Pages 200-264

  8. Bivariate Continuous Distribution

    • J. G. Kalbfleisch
    Pages 265-294

  9. Generating Functions

    • J. G. Kalbfleisch
    Pages 295-320

  10. Back Matter

    Pages 321-343
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Keywords

About this book

This book is in two volumes, and is intended as a text for introductory courses in probability and statistics at the second or third year university level. It emphasizes applications and logical principles rather than math­ ematical theory. A good background in freshman calculus is sufficient for most of the material presented. Several starred sections have been included as supplementary material. Nearly 900 problems and exercises of varying difficulty are given, and Appendix A contains answers to about one-third of them. The first volume (Chapters 1-8) deals with probability models and with mathematical methods for describing and manipulating them. It is similar in content and organization to the 1979 edition. Some sections have been rewritten and expanded-for example, the discussions of independent random variables and conditional probability. Many new exercises have been added. In the second volume (Chapters 9-16), probability models are used as the basis for the analysis and interpretation of data. This material has been revised extensively. Chapters 9 and 10 describe the use of the like­ lihood function in estimation problems, as in the 1979 edition. Chapter 11 then discusses frequency properties of estimation procedures, and in­ troduces coverage probability and confidence intervals. Chapter 12 de­ scribes tests of significance, with applications primarily to frequency data.

Authors and Affiliations

  • Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Canada

    J. G. Kalbfleisch

Bibliographic Information

  • Book Title: Probability and Statistical Inference

  • Book Subtitle: Volume 1: Probability

  • Authors: J. G. Kalbfleisch

  • Series Title: Springer Texts in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-1096-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1985

  • Hardcover ISBN: 978-0-387-96144-6Published: 09 September 1985

  • Softcover ISBN: 978-1-4612-7009-6Published: 27 September 2012

  • eBook ISBN: 978-1-4612-1096-2Published: 06 December 2012

  • Series ISSN: 1431-875X

  • Series E-ISSN: 2197-4136

  • Edition Number: 2

  • Number of Pages: XIII, 343

  • Additional Information: Originally published 1979 in the series: Universitexts

  • Topics: Probability Theory and Stochastic Processes

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