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7 - Generalized Beta Lomax 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 four-parameter beta Lomax (FPBL) distribution is a generalization of the beta distribution through random variable transformation. The FPBL distribution may be reduced to three-parameter distribution and may also be extended to five-parameter beta Lomax distribution by adding the location parameter. In this chapter, the FPBL distribution is derived using the entropy theory and then its parameters are estimated with the principle of maximum entropy and the method of maximum likelihood estimation.

Keywords

four-parameter beta Lomax (FPBL)beta distributionthree-parameter distributionentropymaximum likelihood estimation
Type
Chapter
Information
Generalized Frequency Distributions for Environmental and Water Engineering , pp. 187 - 207
Publisher: Cambridge University Press
Print publication year: 2022

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References

Eugene, N., Lee, C., and Famoye, F. (2002). Beta-normal distribution and its applications. Communications in Statistics – Theory and Method, Vol. 31, pp. 497–512.CrossRefGoogle Scholar
Mahmoud, M.R. and Abd El Ghafour, A.S. (2013). Shannon entropy for generalized Feller–Pareto (GFP) family and order statistics of GFP subfamilies. Applied Mathematical Sciences, Vol. 7, No. 65, pp. 3247–3253.CrossRefGoogle Scholar

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