A Study on Modification of Kumaraswamy Distribution Using Generalized Family of Distributions

Abstract

This research present new univariate continuous probability distribution based on the New Kumaraswamy-G family the new distribution, termed New Kumaraswamy-Kumaraswamy distribution (NKw-Kw). This distribution is bounded within the unit interval (0, 1) which could be employed to effectively handle large datasets that exhibit asymmetric or skewed characteristics, as well as those with non-monotonic hazard rate functions as against the classical Kumaraswamy distribution. Several properties of the NKw-Kw distribution was derived. Additionally, a Monte Carlo simulation in three different scenarios was used to assess the model parameters using maximum likelihood estimation. From the goodness of fit analysis, it shows that this model has the lowest Akaike Information Criterion (AIC) compared to existing Kumaraswamy models, and it was observed that as the sample size increases, AIC values decreases which indicate the ability of Nkw-Kw model to handled complex datasets.