Probability distributions unimodality of nite sample extremes of independent Erlang random variables

Abstract

The theory of probability distributions of extremes of random variables samples and the theory of the probability distributions of extreme values of trajectories of stationary random processes which is connected with it have arisen on the basis of the necessity to find some answers of quite practical questions. Now, this theory has extracted into a separate direction of research in the probability theory. In the framework of this scientific direction, the theory of probability distributions of extremes of independent random variables sequences occupies a special place