The properties of Type II Half-Logistic Exponentiated Weibull Distribution with Applications

Abstract

Recent research has demonstrated the utility of extending continuous distributions in fitting data of all kinds. This paper proposes the Type II Half-Logistic Exponentiated Weibull (TIIHLEtW) Distribution as a new distribution. For the Type II Half-Logistic Exponentiated Weibull distribution, we obtain precise expressions for the quantile function, probability-weighted, moments, moments generating function, reliability function, hazards function, and order statistics. The maximum likelihood estimation approach is used to estimate the parameters of the new distribution, and a simulation study is presented. Two real data sets are used to demonstrate the new distribution's applicability and flexibility. The findings indicated that the new distribution is a better fit for the data compared to the other models that were examined.