CRC Handbook of Tables for the Use of Order Statistics in Estimation

Published:
February 21, 1996 by CRC Press - 688 Pages
Author(s):
H. Leon Harter, Champaigne, IL; N. Balakrishnan, McMaster University, Hamilton, Ontario, Canada

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$279.95
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ISBN 9780849394522
Cat# 9452
 

Features

  • distributions proposed in the statistical literature of the past 25 years
  • tables of variances and covariances of normal, exponential, Weibull, and Gamma order statistics
  • tables of expected values, variances, and covariances of order statistics of samples from 11 other populations- as well as explanations and examples of their applications
  • material on maximum-likelihood estimation, from censored samples, of the parameters of generalized extreme-value and log-Gamma populations

    • Summary

    The CRC Handbook of Tables for the Use of Order Statistics in Estimation revises and significantly expands upon the well-known Order Statistics and Their Use in Testing and Estimation (Volume 2), published in 1970. It brings together tables relating to order statistics from many important distributions and provides maximum likelihood estimations of their parameters based on complete as well as Type-II censored samples. This practical reference describes in detail the method of computation used to construct the tables and illustrates their usefulness with practical examples. The CRC Handbook of Tables for the Use of Order Statistics in Estimation is easy to use and provides information on order statistics estimation at your fingertips.

    Table of Contents

    Introduction
    Quasi-Ranges of Samples from a Normal Population
    Point Estimation of the Population Standard Deviation s
    Interval Estimation of the Population Standard Deviation s
    The Range of Samples from a Rectangular Population
    Point Estimation of the Population Standard Deviation s
    Interval Estimation of the Population Standard Deviation s
    Expected Values, Variances and Covariances of Order Statistics of Samples from Various Populations
    Normal Population
    Exponential, Weibull and Gamma Populations
    Other Populations
    One or Two Order Statistics from an Exponential Population
    Point Estimation of One or Two Parameters
    Interval Estimation of the Parameter s
    Singly Censored Samples from Populations Related to the Exponential
    Weibull Populations with Known Location and Shape Parameters
    Type I Extreme-Value Population with Known Scale Parameters
    Type II Extreme-Value Population with Known Shape Parameters
    Pareto and Limited Populations with Known Location Parameters
    Single Order Statistics from Populations Related to the Exponential
    Weibull Populations with Known Location and Shape Parameters
    Type I Extreme-Value Population with Known Scale Parameters
    Type II Extreme-Value Population with Known Shape Parameters
    Limited and Pareto Populations with Known Location Parameters
    Doubly Censored Samples from Various Populations
    Maximum-Likelihood Estimation of Two Parameters of Normal Population
    Location-Maximum-Likelihood Estimation of Three Parameters of Lognormal Population
    Maximum-Likelihood Estimation of Three Parameters of Weibull and Gamma Populations
    Maximum-Likelihood Estimation of Two Parameters of Logistic Populations
    Maximum-Likelihood Estimation of Two Parameters of Type I Extreme-Value Populations
    Maximum-Likelihood Estimation of Two Parameters of Log-Gamma Populations
    Maximum-Likelihood Estimation of Three Parameters of Generalized Extreme-Value Populations
    Remarks on Interval Estimation of Parameters of Above Populations
    Appendices
    Subject Index
    Author Index

    Editorial Reviews

    "…deserves a place in the central reference section of any university mathematics library."
    - The Mathematical Gazette, March 1997

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