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Research Article Open access CC BY 4.0

An Extended Pranav Distribution

O. R. Uwaeme, N. P. Akpan, U. C. Orumie

Asian Journal of Probability and Statistics · pp. 1–15 · Published 2 Feb 2019

10.9734/ajpas/2018/v2i430078

Abstract

In this study, we proposed a generalization of the Pranav distribution by Shukla (2018). This new distribution called an extended Pranav distribution is obtained using the exponentiation method. The statistical characteristics of this new distribution such as the moments, moment generating function, reliability function, hazard function, Rényi entropy and order statistics are derived. The graphical illustrations of the shapes of the probability density function, the cumulative distribution function, and hazard rate functions are provided. The maximum likelihood estimates of the parameters were obtained and finally, we examine the performance of this new distribution using some real-life data sets to show its flexibility and better goodness of fit as compared with other distributions.

Pranav distribution exponentiation hazard rate function Rényi entropy.

Cited by 1

On the New Exponentiated-Sujatha Distribution and its Applications

Badmus Nofiu Idowu, Aromolaran Adeyemi Davidson · International Journal of Applied Mathematics, Computational Science and Systems Engineering · 2024

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