An extended type I half-logistic family of distributions: Properties, applications and different method of estimations

Abstract

Abstract We propose a new family of continuous distributions with two shape parameters called the Extended type I(ET1HL-G). We study some basic properties including quantile function, asymptotic, mixture for cdf and pdf, various entropies and order statistics. Then we study half-logistic distribution as special case with more details. The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study. Finally, two data sets are illustration the purposes.