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Lectures in Mathematical Statistics: Parts 1 and 2
 
Lectures in Mathematical Statistics
Hardcover ISBN:  978-0-8218-3732-0
Product Code:  MMONO/229
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4653-6
Product Code:  MMONO/229.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-3732-0
eBook: ISBN:  978-1-4704-4653-6
Product Code:  MMONO/229.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Lectures in Mathematical Statistics
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Lectures in Mathematical Statistics: Parts 1 and 2
Hardcover ISBN:  978-0-8218-3732-0
Product Code:  MMONO/229
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4653-6
Product Code:  MMONO/229.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-3732-0
eBook ISBN:  978-1-4704-4653-6
Product Code:  MMONO/229.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 2292005; 321 pp
    MSC: Primary 62

    This volume is intended for the advanced study of several topics in mathematical statistics. The first part of the book is devoted to sampling theory (from one-dimensional and multidimensional distributions), asymptotic properties of sampling, parameter estimation, sufficient statistics, and statistical estimates. The second part is devoted to hypothesis testing and includes the discussion of families of statistical hypotheses that can be asymptotically distinguished. In particular, the author describes goodness-of-fit and sequential statistical criteria (Kolmogorov, Pearson, Smirnov, and Wald) and studies their main properties.

    The book is suitable for graduate students and researchers interested in mathematical statistics. It is useful for independent study or supplementary reading.

    Readership

    Graduate students and research mathematicians interested in mathematical statistics.

  • Table of Contents
     
     
    • Chapters
    • Part I title page
    • Preface to Part 1
    • Samples from one-dimensional distributions
    • Samples from multidimensional distributions
    • Estimation of unknown parameters of distributions
    • Sufficient statistics
    • General methods for constructing estimators
    • Part II title page
    • Preface to Part 2
    • General theory of hypotheses testing
    • Asymptotic distinguishability of simple hypotheses
    • Goodness-of-fit tests
    • Sequential tests
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2292005; 321 pp
MSC: Primary 62

This volume is intended for the advanced study of several topics in mathematical statistics. The first part of the book is devoted to sampling theory (from one-dimensional and multidimensional distributions), asymptotic properties of sampling, parameter estimation, sufficient statistics, and statistical estimates. The second part is devoted to hypothesis testing and includes the discussion of families of statistical hypotheses that can be asymptotically distinguished. In particular, the author describes goodness-of-fit and sequential statistical criteria (Kolmogorov, Pearson, Smirnov, and Wald) and studies their main properties.

The book is suitable for graduate students and researchers interested in mathematical statistics. It is useful for independent study or supplementary reading.

Readership

Graduate students and research mathematicians interested in mathematical statistics.

  • Chapters
  • Part I title page
  • Preface to Part 1
  • Samples from one-dimensional distributions
  • Samples from multidimensional distributions
  • Estimation of unknown parameters of distributions
  • Sufficient statistics
  • General methods for constructing estimators
  • Part II title page
  • Preface to Part 2
  • General theory of hypotheses testing
  • Asymptotic distinguishability of simple hypotheses
  • Goodness-of-fit tests
  • Sequential tests
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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