Parameters Estimation in a Mixture of TwoModified Agarwal and Kalla's Distributions

Abstract

In this paper we introduced a new distribution model defined by a mixture of two modified Agarwal and Kalla generalized gamma distributions. Its possible application in reliability is to study simultaneously both problems; the two types of failures and the displacement phenomenon. Moment and maximum likelihood methods were used to estimate the parameters of this distribution model, the non-linear systems obtained by these two methods are solved numerically using Newton-Raphson iterative technique.