A New Abbas distribution and Its Applications

Abstract

In this paper, an attempt has been made to propose a new one parameter continuous probability distribution named “Abbas Distribution” for modeling the lifetime data in biomedical science and in the field of engineering. The distribution is derived from combining a logarithmic function with the hazard function of the exponential distribution. In addition, structural properties such as reliability components, moments, and ordered statistics of the distribution were derived, and the unknown parameter θ was estimated using maximum likelihood estimation. The utility and adaptability of the proposed distribution are demonstrated by real-world datasets. Also, the various diagnostic tools such as -2LogL, AIC, BIC and AICC show that the proposed distribution provides better fit than other distributions for the considered datasets.