Transmuted Ishita Distribution and Its Applications

Authors

Mohammed M. Gharaibeh, Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 25113, JordanFollow
Amer I. Al-Omari

Author Country (or Countries)

Jordan

Abstract

In this paper, we use quadratic rank transmutation map to propose a new distribution called Transmuted Ishita Distribution (TID). The proposed distribution is a generalization of Ishita distribution. Many properties of this distribution are investigated such as: the reliability, hazard rate and cumulative hazard functions, rth moment, moment-generating function, order statistics, generalized entropy, quantile function. The maximum likelihood method is used to estimate the unknown parameters of the TID. The proposed distribution is used for modeling a real-life data set. It is found that the TID is a better fit for this data set than some other available distributions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/080201

Recommended Citation

M. Gharaibeh, Mohammed and I. Al-Omari, Amer (2019) "Transmuted Ishita Distribution and Its Applications," Journal of Statistics Applications & Probability: Vol. 8: Iss. 2, Article 1.
DOI: http://dx.doi.org/10.18576/jsap/080201
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol8/iss2/1