Piotr Pawlas

RECURRENCE RELATIONS FOR SINGLE AND PRODUCT MOMENTS OF GENERALIZED ORDER STATISTICS FROM PARETO, GENERALIZED PARETO, AND BURR DISTRIBUTIONS

We give recurrence relations for single and product moments of generalized order statistics under the concept of Kamps from Pareto, generalized Pareto and Burr distributions. The results include as particular cases the above relations for moments of k–th record values.

On a Characterization of a Power Distribution

Abstract A measure of dependence called pseudo-covariance and related to covariance was proposed by Pawlas and Szynal [4]. It was used, among other things, in a characterization of a power distribution. Here we generalized that result.

On a new measure of dependence and its applications

Abstract A new measure of dependence called pseudo-covariance and related to covariance is proposed. It can be applied in problems when the classic covariance fails. We show that it can be used as a measure of dependence of uncorrelated random variables and in characterizations of continuous distributions (here power distribution on (0, 1) and exponential distribution).