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A Primer on Statistical Distributions

ISBN: 978-0-471-42798-8
328 pages
July 2003
A Primer on Statistical Distributions (0471427985) cover image
Designed as an introduction to statistical distribution theory.
* Includes a first chapter on basic notations and definitions that are essential to working with distributions.
* Remaining chapters are divided into three parts: Discrete Distributions, Continuous Distributions, and Multivariate Distributions.
* Exercises are incorporated throughout the text in order to enhance understanding of materials just taught.
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Preface.

Preliminaries.

I. DISCRETE DISTRIBUTIONS.

Discrete Uniform Distribution.

Degenerate Distribution.

Bernoulli Distribution.

Binomial Distribution.

Geometric Distribution.

Negative Binomial Distribution.

Hypergeometric Distribution.

Poisson Distribution.

Miscellanea.

II. CONTINUOUS DISTRIBUTIONS.

Uniform Distribution.

Cauchy Distribution.

Triangular Distribution.

Power Distribution.

Pareto Distribution.

Beta Distribution.

Arcsine Distribution.

Exponential Distribution.

Laplace Distribution.

Gamma Distribution.

Extreme Value Distributions.

Logistic Distribution.

Normal Distribution.

Miscellanea.

III. MULTIVARIATE DISTRIBUTIONS.

Multinomial Distribution.

Multivariate Normal Distribution.

Dirichlet Distribution.

Appendix -  Pioneers in Distribution Theory.

Bibliography.

Author Index.

Subject Index.

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N. BALAKRISHNAN, PhD, is Professor of Mathematics and Statistics at McMaster University in Hamilton, Ontario, Canada.

V. B. NEVZOROV, PhD, DS, is Professor of Probability and Statistics at St. Petersburg State University in St. Petersburg, Russia.

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"…a good reference for statisticians to have available on their bookshelf…it would not be difficult to build an interesting and relevant course around this book that would be highly beneficial to our students…" (Journal of the American Statistical Association, June 2004)

“...a very interesting and useful book...highly recommended...” (Choice, Vol. 41, No. 5, January 2004)

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