On The Best Estimators of Coefficients of Variation,skewness and Kurtosis of Pareto Distribution and Their Variances

Abstract

Here we develop the uniformly minimum variance unbiased (best) estimators of coefficient of variation, Pearson's coefficients of skewness and kurtosis of two-parameter Pareto distribution, the variance of these best estimators and the best estimators of those variances. The best estimators are in terms of Kummer's function ₁ F₁ and Humbert's function ø₂ ; and their variances are in terms of F ₂ , the Appel function of second kind and K 12 , a quadruple hypergeornetric function invented by Exton during the early 1970's.