Cover image for Statistical distributions
Title:
Statistical distributions
Personal Author:
Series:
Wiley series in probability and statistics
Edition:
3rd.ed.
Publication Information:
New York, NY : John Wiley & Sons, 2000
ISBN:
9780471371243

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30000004880336 QA273.6 E92 2000 Open Access Book Book
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30000004880377 QA273.6 E92 2000 Open Access Book Book
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Summary

Summary

From the reviews:

"Concise and useful summaries of the salient facts and formulas relating to [various] distributions." -Journal of the American Statistical Association

"A worthwhile reference." -Journal of Quality Technology

Since the previous edition of this popular guide to the most commonly used statistical distributions was published in 1993, statistical methods have found many new applications in science, medicine, engineering, business/finance, and the social sciences. To keep pace with these developments and to highlight the growing influence of statistical software and data management techniques, this new edition is now thoroughly updated and revised. Through clear, concise, easy-to-follow presentations, the authors discuss the key facts and formulas for 40 major probability distributions, fine-tune all existing material, and continue to offer ready access to vital information gleaned from hard-to-find places across the literature. Highly useful both as an introduction to basic principles and as a quick reference guide, Statistical Distributions, Third Edition:
* Presents the 40 distributions in alphabetical order
* Provides all key formulas for each distribution
* Adds a new chapter on the Empirical Distribution Function
* Expands the Weibull Distribution to cover the 3 and 5 parameter versions
* Incorporates diagrams and tables illustrating the characteristics of each distribution
* Discusses the types of application for which distributions are used
* Features references to relevant software packages


Author Notes

MERRAN EVANS, PhD, is Director of Planning and Academic Affairs at Monash University, Victoria, Australia. NICHOLAS HASTINGS, PhD, is Director of the Centre for Asset Management at Queensland University of Technology, Brisbane, Australia. BRIAN PEACOCK, PhD, is Manager of Manufacturing Ergonomics Laboratory, General Motors Technical Center, Warren, Michigan


Table of Contents

Terms and Symbols
General Variate Relationships
Bernoulli Distribution
Beta Distribution
Binomial Distribution
Cauchy Distribution
Chi-Squared Distribution
Chi-Squared (Noncentral) Distribution
Dirichlet Distribution
Empirical Distribution Function
Erlang Distribution
Error Distribution
Exponential Distribution
Exponential Family
Extreme Value (Gumbel) Distribution
F (Variance Ratio) or Fisher-Snedecor Distribution
F (Noncentral) Distribution
Gamma Distribution
Geometric Distribution
Hypergeometric Distribution
Inverse Gaussian (Wald) Distribution
Laplace Distribution
Logarithmic Series Distribution
Logistic Distribution
Lognormal Distribution
Multinomial Distribution
Multivariate Normal (Multinormal) Distribution
Negative Binomial Distribution
Normal (Gaussian) Distribution
Pareto Distribution
Poisson Distribution
Power Function Distribution
Power Series (Discrete) Distribution
Rayleigh Distribution
Rectangular (Uniform) Continuous Distribution
Rectangular (Uniform) Discrete Distribution
Student'st Distribution
Student'st (Noncentral) Distribution
Triangular Distribution.von Mises Distribution
Weibull Distribution
Wishart (Central) Distribution
Computing References
Statistical Tables
Bibliography