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Research Article Open access CC BY 4.0

The Equilibrium Renewal Burr XII Distribution: Properties and Applications

Abdulzeid Yen Anafo, Lewis Brew, Suleman Nasiru

Asian Journal of Probability and Statistics · pp. 18–40 · Published 16 Oct 2021

10.9734/ajpas/2021/v15i230349

Abstract

In this paper, we propose a three-parameter probability distribution called equilibrium renewal Burr XII distribution using the equilibrium renewal process. The statistical properties of the distribution such as moment, mean deviation, order statistics, moment generating function, Beforroni and Lorenz curve, survival function, reversed hazard rate and hazard function were derived. The method of maximum likelihood is used for estimating the distribution's parameters and a simulation study is conducted to assess the performance of the parameters. We provide two applications in eld of health to demonstrate the importance of the proposed distribution.

Equilibrium renewal process Burr XII distribution maximum Likelihood estimation simulation remission hazard function and cancer data

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