Relationship for Quotient Moments of Ordered Random Variables from Exponentiated Pareto Distribution

Abstract

In this paper, we have established several new explicit expressions and recurrence relations satisfied by the quotient moments and conditional quotient moments of dual generalized order statistics from Exponentiated Pareto distribution, to enable one to evaluate the single and product moments of all order in simple recursive manner. The results for order statistics and record values are deduced from the relations derived. Further, recurrence relation for conditional quotient moments of dual generalized order statistics we obtain a characterization of exponentiated Pareto distribution.