the fisher information matrix for a mixture of two pareto distributions is derived. numericaltabulations of the matrix are also provided for practical purposes. the work is motivated by a real-lifeexample.

We propose a strategy for approximating Pareto optimal sets based on the global analysis framework proposed by Smale [Global analysis and economics. I. Pareto optimum and a generalization of Morse theory, in Dynamical Systems, Academic Press, New York, 1973, pp. 531–544]. The method highlights and exploits the underlying manifold structure of the Pareto sets, approximating Pareto optima by mean...

Using the method of generic continuity of set-valued mappings, this paper studies the stability of weakly Pareto-Nash and Pareto-Nash equilibria for multiobjective population games, when payoff functions are perturbed. More precisely, the paper investigates the continuity properties of the set of weakly Pareto-Nash equilibria and that of the set of Pareto-Nash equilibria under sufficiently smal...

Lindley-Singpurwalla (1986)’s bivariate Pareto distribution is one of the most popular bivariate Pareto distribution. Sankaran and Nair (1993) proposed a new bivariate Pareto distribution which also has Pareto marginals and it contains LindleySingpurwalla’s bivariate Pareto model as a special case. It has several other interesting properties also. In this paper we re-visit Sankaran and Nair’s b...

An exponentiated Pareto distribution is defined. We then consider maximum likelihood estimator (MLE) of the threshold parameter β with known parameters α and c for the exponentiated Pareto distribution in (2.1) and then obtain the MLE of the tail-probability of the exponentiated Pareto distribution. Finally, we consider MLE of reliability in two independent exponentiated Pareto distributions.

In order to study the phenomenon in detail that income distribution follows Pareto law, we analyze the database of high income companies in Japan. We find a quantitative relation between the average capital of the companies and the Pareto index. The larger the average capital becomes, the smaller the Pareto index becomes. From this relation, we can possibly explain that the Pareto index of comp...

Goals: understand why hypervolume-based search is that successful understand basic properties of hypervolume indicator Approach: rigorous running time analyses of a hypervolume-based MOEA for (i) approaching the Pareto front (ii) approximating large Pareto fronts (unary) hypervolume indicator (A) = hypervolume/area of dominated part of search space between front A and reference point Pareto-dom...

In order to study phenomenon in detail that income distribution follows Pareto law, we analyze database of high income companies in Japan. We find a quantitative relation between average capital of the companies and the Pareto index, that the average capital becomes larger the Pareto index becomes smaller. From this relation, we point out a possibility we can explain that Pareto index of compan...