Precise Asymptotics of Generalized Stochastic Order Statistics for Extreme Value Distributions

Abstract

In this paper we mainly investigate the precise asymptotics of the generalized stochastic order statistics in the extreme value distributions based on the suitable counting process. In this work, we present the relations among the boundary function, weighted function, convergence rate and limit value of series, this will be enable us to introduce a unified approach to several kinds of ordered random variables.

Cite this paper

@inproceedings{Hashemi2011PreciseAO, title={Precise Asymptotics of Generalized Stochastic Order Statistics for Extreme Value Distributions}, author={Reza Hashemi and Molood Abdollahi}, year={2011} }