Higher Order Moments of Order Statistics from the Pareto Distribution and Edgeworth Approximate Inference

In this paper, we first derive exact explicit expressions for the triple and quadruple moments of order statistics from the Pareto distribution. Also, we establish recurrence relations for single, double, triple and quadruple moments of order statistics from the Pareto distribution. These relations will enable one to find all moments (of order up to four) of order statistics for all sample sizes in a simple recursive manner. We then use these …