CRC Handbook of Tables for Order Statistics from Inverse Gaussian Distributions with Applications

Published:
July 30, 1997 by CRC Press - 704 Pages
Author(s):
N. Balakrishnan, McMaster University, Hamilton, Ontario, Canada; William Chen, Statistics of Income, Washington, DC

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ISBN 9780849331183
Cat# 3118
 

Features

  • Describes the models, their properties, shapes, and applications in different fields
  • Explains how to fit or apply these models to data from different experiments
  • Discusses order statistics arising from Inverse Gaussian distributions
  • Explains the powerful numerical integration methods that compute the means, variances, and covariances of order
  • Includes numerous tables of quantities for different shape parameters of the distribution, and tables of coefficients of the best estimators of location and scale parameters
  • Applies these tables to real-life data sets from flood data, lifetime data, income data, and more

    • Summary

    First derived within the context of life-testing, inverse Gaussian distribution has become one of the most important and widely employed distributions, and is often used to model the lifetimes of components. It is also used as a model in many varied applications, including fatigue analysis, economic prediction analysis, and the analysis of extreme events such as rainfall and flood levels. The interesting features and properties of this distribution make it an important and realistic model in a variety of problems across numerous disciplines.
    Because of the broad range of applications, this handbook will be useful not only to members of the statistical community but will also appeal to applied scientists, engineers, econometricians, and anyone who desires a thorough evaluation of this important topic.

    Table of Contents

    Introduction
    Inverse Gaussian Distribution and Properties
    Order Statistics and Properties
    Calculation of Moments and Tables
    Illustrations of the Use of Tables
    Applications
    Bibliography
    Tables
    Indices

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