Approximation Theorems of Mathematical Statistics / Edition 1

Approximation Theorems of Mathematical Statistics / Edition 1

by Robert J. Serfling
     
 

ISBN-10: 0471219274

ISBN-13: 9780471219279

Pub. Date: 12/21/2001

Publisher: Wiley

Approximation Theorems of Mathematical Statistics

This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application.

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Overview

Approximation Theorems of Mathematical Statistics

This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory.

The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of:

  • The tools and foundations that are basic to asymptotic theory in statistics
  • The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence
  • Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures; W. Hoeffding’s U-statistics and R. von Mises’s "differentiable statistical functions"
  • Statistics obtained as solutions of equations ("M-estimates"), linear functions of order statistics ("L-statistics"), and rank statistics ("R-statistics")
  • Use of influence curves
  • Approaches toward asymptotic relative efficiency of statistical test procedures

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Product Details

ISBN-13:
9780471219279
Publisher:
Wiley
Publication date:
12/21/2001
Series:
Wiley Series in Probability and Statistics Series, #413
Edition description:
New Edition
Pages:
400
Product dimensions:
6.06(w) x 9.11(h) x 1.19(d)

Table of Contents

Preliminary Tools and Foundations.

The Basic Sample Statistics.

Transformations of Given Statistics.

Asymptotic Theory in Parametric Inference.

U-Statistics.

Von Mises Differentiable Statistical Functions.

M-Estimates.

L-Estimates.

R-Estimates.

Asymptotic Relative Efficiency.

Appendix.

References.

Author Index.

Subject Index.

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