A New Cubic Transmuted Power Function Distribution: Properties, Inference and Application

Abstract

A new cubic transmuted power function distribution has been proposed by using the cubic transmuted family of distributions, proposed by [1]. The proposed distribution provides transmuted power function distribution as a special case. The properties of the proposed distribution are studied that include shape, moments, quantiles, entropy, random number generation and order statistics. The maximum likelihood estimation of the parameters of the proposed distribution is discussed. A simulation study has been conducted to observe the performance of the estimation procedure. The proposed distribution has been applied to real data sets to compare the suitability of the model.

Key words and phrases. Transmuted Distributions, Power Function Distribution, Moments, Entropy, Maximum Likelihood Estimation.

2010 Mathematics Subject Classification. 60E05, 62E15, 62F10, 94A17