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  • Textbook
  • © 1989

Fundamentals of Mathematical Statistics

Probability for Statistics

Authors:

  1. Hung T. Nguyen

    1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Gerald S. Rogers

    1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (49 chapters)

  1. Front Matter

    Pages i-x
    PDF

  2. Elementary Probability and Statistics

    1. Front Matter

      Pages 1-1
      PDF

    2. Relative Frequency

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 3-10

    3. Sample Spaces

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 11-18

    4. Some Rules About Sets

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 19-26

    5. The Counting Function for Finite Sets

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 27-35

    6. Probability on Finite Sample Spaces

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 36-42

    7. Ordered Selections

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 43-48

    8. Unordered selections

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 49-56

    9. Some Uniform Probability Spaces

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 57-62

    10. Conditional Probability/Independence

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 63-71

    11. Bayes’ Rule

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 72-76

    12. Random Variables

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 77-83

    13. Expectation

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 84-92

    14. A Hypergeometric Distribution

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 93-98

    15. Sampling and Simulation

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 99-103

    16. Testing Simple Hypotheses

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 104-114

    17. An Acceptance Sampling Plan

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 115-122

    18. The Binomial Distribution

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 123-139

    19. Matching and Catching

      • Hung T. Nguyen, Gerald S. Rogers
      Pages 140-149
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About this book

This is the first half of a text for a two semester course in mathematical statistics at the senior/graduate level for those who need a strong background in statistics as an essential tool in their career. To study this text, the reader needs a thorough familiarity with calculus including such things as Jacobians and series but somewhat less intense familiarity with matrices including quadratic forms and eigenvalues. For convenience, these lecture notes were divided into two parts: Volume I, Probability for Statistics, for the first semester, and Volume II, Statistical Inference, for the second. We suggest that the following distinguish this text from other introductions to mathematical statistics. 1. The most obvious thing is the layout. We have designed each lesson for the (U.S.) 50 minute class; those who study independently probably need the traditional three hours for each lesson. Since we have more than (the U.S. again) 90 lessons, some choices have to be made. In the table of contents, we have used a * to designate those lessons which are "interesting but not essential" (INE) and may be omitted from a general course; some exercises and proofs in other lessons are also "INE". We have made lessons of some material which other writers might stuff into appendices. Incorporating this freedom of choice has led to some redundancy, mostly in definitions, which may be beneficial.
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Keywords

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Authors and Affiliations

  • Department of Mathematical Sciences, New Mexico State University, Las Cruces, USA

    Hung T. Nguyen, Gerald S. Rogers

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Bibliographic Information

  • Book Title: Fundamentals of Mathematical Statistics

  • Book Subtitle: Probability for Statistics

  • Authors: Hung T. Nguyen, Gerald S. Rogers

  • Series Title: Springer Texts in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-1013-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1989

  • Hardcover ISBN: 978-0-387-97014-1Published: 25 July 1989

  • Softcover ISBN: 978-1-4612-6984-7Published: 12 October 2012

  • eBook ISBN: 978-1-4612-1013-9Published: 06 December 2012

  • Series ISSN: 1431-875X

  • Series E-ISSN: 2197-4136

  • Edition Number: 1

  • Number of Pages: X, 432

  • Topics: Probability Theory and Stochastic Processes, Statistics, general

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Access via your institution

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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