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)
M. Gharaibeh, Mohammed and I. Al-Omari, Amer
"Transmuted Ishita Distribution and Its Applications,"
Journal of Statistics Applications & Probability: Vol. 8
, Article 1.
Available at: https://dc.naturalspublishing.com/jsap/vol8/iss2/1