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Fundamentals of Mathematical Statistics

Probability for Statistics

  • Hung T. Nguyen
  • Gerald S. Rogers

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Elementary Probability and Statistics

    1. Front Matter
      Pages 1-1
    2. Hung T. Nguyen, Gerald S. Rogers
      Pages 3-10
    3. Hung T. Nguyen, Gerald S. Rogers
      Pages 11-18
    4. Hung T. Nguyen, Gerald S. Rogers
      Pages 19-26
    5. Hung T. Nguyen, Gerald S. Rogers
      Pages 27-35
    6. Hung T. Nguyen, Gerald S. Rogers
      Pages 36-42
    7. Hung T. Nguyen, Gerald S. Rogers
      Pages 43-48
    8. Hung T. Nguyen, Gerald S. Rogers
      Pages 49-56
    9. Hung T. Nguyen, Gerald S. Rogers
      Pages 57-62
    10. Hung T. Nguyen, Gerald S. Rogers
      Pages 63-71
    11. Hung T. Nguyen, Gerald S. Rogers
      Pages 72-76
    12. Hung T. Nguyen, Gerald S. Rogers
      Pages 77-83
    13. Hung T. Nguyen, Gerald S. Rogers
      Pages 84-92
    14. Hung T. Nguyen, Gerald S. Rogers
      Pages 93-98
    15. Hung T. Nguyen, Gerald S. Rogers
      Pages 99-103
    16. Hung T. Nguyen, Gerald S. Rogers
      Pages 104-114
    17. Hung T. Nguyen, Gerald S. Rogers
      Pages 115-122
    18. Hung T. Nguyen, Gerald S. Rogers
      Pages 123-139
    19. Hung T. Nguyen, Gerald S. Rogers
      Pages 140-149
    20. Hung T. Nguyen, Gerald S. Rogers
      Pages 150-165
    21. Hung T. Nguyen, Gerald S. Rogers
      Pages 166-176
    22. Hung T. Nguyen, Gerald S. Rogers
      Pages 177-183
  3. Probability and Expectation

    1. Front Matter
      Pages 184-185
    2. Hung T. Nguyen, Gerald S. Rogers
      Pages 186-193
    3. Hung T. Nguyen, Gerald S. Rogers
      Pages 194-200
    4. Hung T. Nguyen, Gerald S. Rogers
      Pages 201-207
    5. Hung T. Nguyen, Gerald S. Rogers
      Pages 208-215
    6. Hung T. Nguyen, Gerald S. Rogers
      Pages 216-225
    7. Hung T. Nguyen, Gerald S. Rogers
      Pages 226-232
    8. Hung T. Nguyen, Gerald S. Rogers
      Pages 233-240
    9. Hung T. Nguyen, Gerald S. Rogers
      Pages 241-248
    10. Hung T. Nguyen, Gerald S. Rogers
      Pages 249-255
    11. Hung T. Nguyen, Gerald S. Rogers
      Pages 256-265
    12. Hung T. Nguyen, Gerald S. Rogers
      Pages 266-274
    13. Hung T. Nguyen, Gerald S. Rogers
      Pages 275-284
    14. Hung T. Nguyen, Gerald S. Rogers
      Pages 285-291
  4. Limiting Distributions

    1. Front Matter
      Pages 292-293
    2. Hung T. Nguyen, Gerald S. Rogers
      Pages 294-302
    3. Hung T. Nguyen, Gerald S. Rogers
      Pages 303-312
    4. Hung T. Nguyen, Gerald S. Rogers
      Pages 313-321
    5. Hung T. Nguyen, Gerald S. Rogers
      Pages 322-330
    6. Hung T. Nguyen, Gerald S. Rogers
      Pages 331-339
    7. Hung T. Nguyen, Gerald S. Rogers
      Pages 340-348
    8. Hung T. Nguyen, Gerald S. Rogers
      Pages 349-357
    9. Hung T. Nguyen, Gerald S. Rogers
      Pages 358-365
    10. Hung T. Nguyen, Gerald S. Rogers
      Pages 366-372
    11. Hung T. Nguyen, Gerald S. Rogers
      Pages 373-379
    12. Hung T. Nguyen, Gerald S. Rogers
      Pages 380-387
    13. Hung T. Nguyen, Gerald S. Rogers
      Pages 388-397

About this book

Introduction

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.

Keywords

Binomial distribution Measure Normal distribution Poisson distribution Probability space Probability theory Random variable mathematical statistics

Authors and affiliations

  • Hung T. Nguyen
    • 1
  • Gerald S. Rogers
    • 1
  1. 1.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1013-9
  • Copyright Information Springer-Verlag New York Inc. 1989
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6984-7
  • Online ISBN 978-1-4612-1013-9
  • Series Print ISSN 1431-875X
  • Buy this book on publisher's site