We introduce a generalized version of the quadratic rank transmuted Fre ́chet distribution that generalizes the standard Fre ́chet model by incorporating extra shape parameters into its distribution functions. We study the main mathematical and statistical properties of the proposed generalized transmuted Fre ́chet model, including its hazard rate function, moments, moment-generating function, quantile function, order statistics, moments of order statistics, probability weighted moment, L-moments and finally maximum likelihood estimator.
Digital Object Identifier (DOI)
I. Riffi, Mohamed; I. Ansari, S.; and S. Hamdan, Mohammed
"A Generalized Transmuted Fre ́chet Distribution,"
Journal of Statistics Applications & Probability: Vol. 9
, Article 7.
Available at: https://dc.naturalspublishing.com/jsap/vol9/iss1/7