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.

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...

in this paper, we derive the exact analytical expressions for the shannon entropy of generalized orderstatistics from pareto-type and related distributions.

‎the aim of this paper is to study distribution of ratios of generalized order statistics from pareto distribution. parameter estimation of pareto distribution based on generalized order statistics and ratios of them have been obtained. inferences using method of moments and unbiased estimator have been obtained to develop point estimations. consistency of unbiased estimator has been illustrate...

Generalized Pareto distribution play an important role in reliability, extreme value theory, and other branches of applied probability and statistics. This family of distributions includes exponential distribution, Pareto distribution, and Power distribution. In this paper, we established exact expressions and recurrence relations satisfied by the quotient moments of generalized order statistic...