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...

In the literature of analyzing extremes, both generalized Pareto distribution and Pareto distribution are employed to infer the tail of a distribution with a known positive extreme value index. Similar studies exist for a known negative extreme value index. Intuitively, one should not employ the generalized Pareto distribution in case of knowing the sign of the extreme value index. In this pape...

Empirical studies have shown that the size distribution of firms can be described as a lognormal or Pareto distribution. However, these studies have focused on developed countries and little attention has been devoted to developing countries. Using the variable of number of employees as a measure of firm size, this paper investigates the shape of firm size distribution in the food & beverages i...

The Generalized Pareto Distribution is a very useful tool for modeling in many areas of economics, finance and insurance. The Generalized Pareto Distribution is commonly used for extreme value problems. Especially, the values which exceed the finite threshold, is the focus in extreme value problems like in insurance sector. The Generalized Pareto Distribution is well approach for modeling the s...

A new distribution called the beta-generalized Pareto is proposed. Several properties of this distribution are presented. The expressions for the mean, mean deviation, variance, and entropies are obtained. The method of maximum likelihood is proposed to estimate the parameters of the distribution. The flexibility of this distribution is illustrated in an application to a real data set.

Abstract: The Pareto probability distribution is widely applied in different fields such us finance, physics , hydrology , geology and astronomy. This note deals with an application of the Pareto distribution to astrophysics and more precisely to the statistical analysis of mass of stars and of diameters of asteroids. In particular a comparison between the usual Pareto distribution and its trun...

In this paper, a bi-objective pharmaceutical supply chain network under uncertainty demand and transportation costs is modeled and developed. To control the uncertainty parameters, the robust optimization method is considering. The main objective of this paper determines the number and location of potential facilities such as drug manufacture centers and drug distribution centers by considering...

Since the seismic behavior of the earth’s energy (which follows from the power law distribution) can be similarly seen in the energy realized by the stock markets, in this paper we consider a statistical study for comparing the financial crises and the earthquakes. For this end, the TP statistic, proposed by Pisarenko and et al. (2004), is employed for estimating the critical point or the lower...

In the present study, we propose a new family of distributions namely Pareto-X family. A sub model proposed called Pareto-Weibull (PW) distribution is discussed. The maximum likelihood estimators parameters are obtained. Different distributional properties described. order to assess applicability model, two real-life applications from environmental and biological study considered. practical sho...

We have investigated the population distribution of Chinese cities from 1997 to 2006. The rank-size distributions of Chinese cities deviate from the Pareto distribution. For city size distribution of each year we can find a population threshold Pc that characterizes the boundary of the deviation. The cities with population more than Pc follow the Pareto distribution, while the smaller cities de...