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Research Article Open access CC BY 4.0

Samade Probability Distribution: Its Properties and Application to Real Lifetime Data

Samuel Aderoju

Asian Journal of Probability and Statistics · pp. 1–11 · Published 19 Jul 2021

10.9734/ajpas/2021/v14i130317

Abstract

A new two-parameter lifetime distribution has been proposed in this study. The distribution is called Samade distribution. The model is motivated by the wide use of the lifetime models derived from the mixture of gamma and exponential distributions. Its mathematical properties which include the first four moments, variance as well as coefficient of variation, reliability function, hazard function, survival function, Renyi entropy measure and distribution of order statistics have been successfully derived. The maximum likelihood estimation of its parameters and application to real life data have been discussed. Application of this model to three real datasets shown that the proposed model yields a satisfactorily better fit than other existing lifetime distributions. The comparism of goodness-of-fits were established using -2Loglikelihood, AIC and BIC. 

Samade distribution moments reliability measure probability of order statistics maximum likelihood estimation

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