Abstract
Relationship for Quotient Moments of Ordered Random Variables from Exponentiated Pareto Distribution
Highlights
The concept of generalized order statistics was introduced by Kamps [1] as a general framework for models of ordered random variables
Random variables that are decreasingly ordered cannot be integrated into this framework
In last section of the paper we prove a characterization result on this distribution based on recurrence relation for conditional quotient moment of the dgos
Summary
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. Recurrence relation for conditional quotient moments of dual generalized order statistics we obtain a characterization of exponentiated Pareto distribution.
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