Transmuted Inverted Kumaraswamy Distribution: Theory and Applications | [Punjab University Journal of Mathematics • 2021]

Author(s):

1. Rehan Ahmad Khan Sherwani: College of Statistical and Acturial Sciences University of the Punjab Lahore, Pakistan

2. Muhammad Waqas: Statistics Division, State bank of, Pakistan

3. Nadia Saeed: College of Statistical and Acturial Sciences University of the Punjab Lahore, Pakistan

4. Muhammad Farooq: Department of Statistics, GC University Lahore, Pakistan

5. Muhammad Ali Raza: Department of Statistics, GC University Faisalabad, Pakistan

6. Farrukh Jamal: Department of Statistics, Islamia University Bahawalpur, Pakistan

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.

Page(s): 29-45

DOI: DOI not available

Published: Journal: Punjab University Journal of Mathematics, Volume: 53, Issue: 3, Year: 2021

Keywords:

TypeII censoring , Kumaraswamy distribution , Transmuted Distribution

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