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...

A new flexible univariate probability distribution was defined in this paper. The is so called the ‘exponentiated Gumbel–Weibull {logistic} distribution’ and it arose by using exponentiated Gumbel to generate a generalized Weibull logit function or quantile of logistic as link. observed be both unimodal bimodal well exhibits various shape tail properties consistent with data arising from severa...

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...

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...

This note analyzes some properties of the Pareto Type III distribution. A three parameter version original two distribution proposed by is introduced and both its density characteristic function are derived. The analytic expression inverse also obtained, together with an explicit moments any order. Finally, a simple statistical exercise proposed, designed to show reliability in describing asymp...