Abstract
In this research, a new probability distribution named Transmuted Inverted Kumaraswamy (TIK) distribution based on quadratic rank
transmutation map has been proposed. The newly proposed distribution
is an extension of the inverted Kumaraswamy distribution. Several statistical properties such as moments, probability weighted moments, moment generating function, incomplete moments and entropy measure are
investigated. The parameters of the proposed distribution are estimated by
using the maximum likelihood approach under type-II censoring, and the
performance has been evaluated through mean squared error and bias by
conducting Monte Carlo simulations. The proposed distribution showed,
based on various goodness of fit indices, better suitability as compared to
competitive distributions when applied on four real life datasets.
Rehan Ahmad Khan Sherwani, Muhammad Waqas, Nadia Saeed, Muhammad Farooq, Muhammad Ali Raza, Farrukh Jamal. (2021) Transmuted Inverted Kumaraswamy Distribution: Theory and Applications, Punjab University Journal of Mathematics, Volume-53, Issue-3.
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