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2 - Burr–Singh–Maddala Distribution

Published online by Cambridge University Press:  13 April 2022

Vijay P. Singh  and
Lan Zhang
Vijay P. Singh
Affiliation:
Texas A & M University
Lan Zhang
Affiliation:
University of Akron, Ohio
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Summary

The Burr–Singh–Maddala (BSM) probability distribution is a generalization of the Pareto distribution and the Weibull distribution that are used for frequency analyses of a variety of hydrologic and hydrometeorologic data. This distribution possesses a number of interesting characteristics that are discussed in this chapter. The BSM distribution is derived using the entropy theory, which then is applied to derive the BSM distribution parameters. Real-world data are used to illustrate the application of the distribution.

Keywords

Burr–Singh–Maddala (BSM)ParetoWeibullentropyMOM,MLE
Type
Chapter
Information
Generalized Frequency Distributions for Environmental and Water Engineering , pp. 50 - 84
Publisher: Cambridge University Press
Print publication year: 2022

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