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Probability

  • Alan F. Karr

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

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Alan F. Karr
    Pages 1-14
  3. Alan F. Karr
    Pages 15-42
  4. Alan F. Karr
    Pages 43-70
  5. Alan F. Karr
    Pages 71-100
  6. Alan F. Karr
    Pages 101-134
  7. Alan F. Karr
    Pages 135-162
  8. Alan F. Karr
    Pages 163-182
  9. Alan F. Karr
    Pages 183-216
  10. Alan F. Karr
    Pages 217-242
  11. Alan F. Karr
    Pages 243-270
  12. Back Matter
    Pages 271-283

About this book

Introduction

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.

Keywords

Conditional probability Likelihood Maxima Normal distribution Probability space Random variable Sage Variance correlation measure theory standard deviation

Authors and affiliations

  • Alan F. Karr
    • 1
  1. 1.National Institute of Statistical SciencesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0891-4
  • Copyright Information Springer-Verlag New York, Inc. 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6937-3
  • Online ISBN 978-1-4612-0891-4
  • Series Print ISSN 1431-875X
  • Buy this book on publisher's site