Far East Journal of Theoretical Statistics
Volume 58, Issue 2, Pages 91 - 113
(March 2020) http://dx.doi.org/10.17654/TS058020091 |
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THE BETA EXPONENTIAL PARETO DISTRIBUTION
Nasr Ibrahim Rashwan and Maie M. Kamel
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Abstract: In this article, a new distribution namely, beta exponential Pareto distribution is defined and studied. The new model contains special models. Some of the mathematical properties, such as explicit expressions for the ordinary and incomplete moments, moment generating function and quintile function, are derived. An explicit expression for Renyi entropy and also for the density function of the ith order statistics has been obtained. The method of maximum likelihood is used to estimate the distribution parameters and the observed information matrix is provided. Finally, real data sets are used to illustrate the application of the new model. |
Keywords and phrases: beta exponential Pareto distribution, generating function, quantile function, Renyi entropy, maximum likelihood.
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