The Hamza Distribution with Statistical Properties and Applications
Ahmad Aijaz, Muzamil Jallal, S. Qurat Ul Ain, Rajnee Tripathi
Asian Journal of Probability and Statistics · pp. 28–42 · Published 16 Jul 2020
10.9734/ajpas/2020/v8i130198Abstract
This paper suggested a new two parameter distribution named as Hamza distribution. A detailed description about the properties of a suggested distribution including moments, moment generating function, deviations about mean and median, stochastic orderings, Bonferroni and Lorenz curves, Renyi entropy, order statistics, hazard rate function and mean residual function has been discussed. The behavior of a probability density function (p.d.f) and cumulative distribution function (c.d.f) have been depicted through graphs. The parameters of the distribution are estimated by the known method of maximum likelihood estimation. The performance of the established distribution have been illustrated through applications, by which we conclude that the established distribution provide better fit.
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