The method of moments (MM) has been widely used for parametric estimation, as it is often computationally simple. Our interest focuses on the case of finite Poisson mixtures. The inefficiency of the method of moments relative to the Maximum Likelihood (ML) method is studied. Both the asymptotic...

The EM algorithm is a standard tool for maximum likelihood estimation in finite mixture models. The main drawbacks of the EM algorithm are its slow convergence and the dependence of the solution on both the stopping criterion and the initial values used. The problems referring to slow...

In recent years, mixture models have become a powerful tool for statistical analysis, mainly due to the impact of computer technology that facilitates the application of such models. A variety of statistical methodologies can be viewed as applications of mixture models. This fact in itself is...

This article provides two characterizations of Mardia's Type I bivariate Pareto distribution. In particular, it is shown that the distribution of a random vector (X,Y) is uniquely determined as a Mardia's Type I bivariate Pareto distribution if its weighted form follows a Mardia's Type I...

This paper provides characterizations of a family of distributions in the context of reliability theory placing emphasis on a particular family member, the Yule distribution. In particular, it is shown that the distribution of a non-negative, integer-valued random variable X with E(X)+∞ is...