Transmuted Inverted Kumaraswamy Distribution: Theory and Applications

摘要

In this research, a new probability distribution named Transmuted Inverted Kumaraswamy (TIK) distribution based on quadratic ranktransmutation map has been proposed. The newly proposed distributionis an extension of the inverted Kumaraswamy distribution. Several statistical properties such as moments, probability weighted moments, moment generating function, incomplete moments and entropy measure areinvestigated. The parameters of the proposed distribution are estimated byusing the maximum likelihood approach under type-II censoring, and theperformance has been evaluated through mean squared error and bias byconducting Monte Carlo simulations. The proposed distribution showed,based on various goodness of fit indices, better suitability as compared tocompetitive distributions when applied on four real life datasets.