1st Edition

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



ISBN 9780849394522
Published February 21, 1996 by CRC Press
688 Pages

USD $365.00

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Book Description

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

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Reviews

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