Abstract

Here we have given some characterizations for the Pareto distribution in the presence of outliers. It is proved that a necessary and sufficient condition for f (x) to be a Pareto density function in the presence of outliers is that the statistics X(r) and x(s)/x(r) (1 ≤ r < s ≤ n) are independent. Further, we have derived some another characterizations of the Pareto distribution in the presence of outliers.

Author: U. J. Dixit and M. Jabbari Nooghabi

Received on: June, 2013

Accepted on: May, 2014