DOUBLE LENGTH-BIASED WEIBULL DISTRIBUTION AND ITS APPLICATION

Abstract

In this paper, we lntroduce a new double distribution, called double length-biased Weibull distribution. The distribution is generated using random sign mixture transform and has support on the whole real line. The main features of the distribution which include shape properties of the density and distribution functions as well as moments and related measures are presented. Entropy and extropy
measures of the distribution are derived. Parameter estimates are derived using the maximum likelihood estimation technique and the efficiency of these estimates is assessed through a simulation study. An application to a standardized car prices data is presented to highlight the usefulness of the model.