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Modern Concepts and Theorems of Mathematical Statistics

  • Book
  • © 1986

Overview

Authors:
  1. Edward B. Manoukian

    1. Department of National Defence, Royal Military College of Canada, Kingston, Canada

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Part of the book series: Springer Series in Statistics (SSS)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Fundamentals of Mathematical Statistics

    1. Front Matter

      Pages 1-1
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    2. Basic Definitions, Concepts, Results, and Theorems

      • Edward B. Manoukian
      Pages 3-74

    3. Fundamental Limit Theorems

      • Edward B. Manoukian
      Pages 75-98

  3. Statistical Distributions

    1. Front Matter

      Pages 99-99
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    2. Distributions

      • Edward B. Manoukian
      Pages 101-131

    3. Some Relations Between Distributions

      • Edward B. Manoukian
      Pages 132-144

  4. Back Matter

    Pages 145-149
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Keywords

About this book

With the rapid progress and development of mathematical statistical methods, it is becoming more and more important for the student, the in­ structor, and the researcher in this field to have at their disposal a quick, comprehensive, and compact reference source on a very wide range of the field of modern mathematical statistics. This book is an attempt to fulfill this need and is encyclopedic in nature. It is a useful reference for almost every learner involved with mathematical statistics at any level, and may supple­ ment any textbook on the subject. As the primary audience of this book, we have in mind the beginning busy graduate student who finds it difficult to master basic modern concepts by an examination of a limited number of existing textbooks. To make the book more accessible to a wide range of readers I have kept the mathematical language at a level suitable for those who have had only an introductory undergraduate course on probability and statistics, and basic courses in calculus and linear algebra. No sacrifice, how­ ever, is made to dispense with rigor. In stating theorems I have not always done so under the weakest possible conditions. This allows the reader to readily verify if such conditions are indeed satisfied in most applications given in modern graduate courses without being lost in extra unnecessary mathematical intricacies. The book is not a mere dictionary of mathematical statistical terms.

Authors and Affiliations

  • Department of National Defence, Royal Military College of Canada, Kingston, Canada

    Edward B. Manoukian

Bibliographic Information

  • Book Title: Modern Concepts and Theorems of Mathematical Statistics

  • Authors: Edward B. Manoukian

  • Series Title: Springer Series in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-4856-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1986

  • Softcover ISBN: 978-1-4612-9332-3Published: 01 October 2011

  • eBook ISBN: 978-1-4612-4856-9Published: 06 December 2012

  • Series ISSN: 0172-7397

  • Series E-ISSN: 2197-568X

  • Edition Number: 1

  • Number of Pages: 156

  • Topics: Probability Theory and Stochastic Processes, Applications of Mathematics

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