Open AccessThe Hamza Distribution with Statistical Properties and Applications
Author(s) -
Adeel Ahmad,
Muzamil Jallal,
S. Qurat Ul Ain,
Rajnee Tripathi
Publication year - 2020
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2020/v8i130198
Subject(s) - mathematics , moment generating function , log cauchy distribution , log logistic distribution , half normal distribution , probability density function , lorenz curve , noncentral chi squared distribution , cumulative distribution function , statistics , normal gamma distribution , ratio distribution , principle of maximum entropy , maximum entropy probability distribution , order statistic , inverse chi squared distribution , distribution (mathematics) , distribution function , distribution fitting , exponential distribution , mathematical analysis , asymptotic distribution , physics , gini coefficient , quantum mechanics , estimator , economic inequality , inequality
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.