Weibull Mixture of Some Sampling Distributions

Abstract

Abstract
The Weibull distribution is extensively used in engineering sectors and biostatistical
fields. In this article, we have proposed the Weibull mixture of some sampling
distributions in which the weight functions are assumed to be chi-square, t and
F sampling distributions. Different properties of these proposed distributions have been derived in this paper. The estimators of the parameters of these models using method of moments have also been provided.

Keywords and Phrases: mixture distribution, Weibull mixture, sampling distribution,
characteristic function, parameter estimation