###
A NOTE ON MAXIMUM VARIANCE OF ORDER STATISTICS

FROM SYMMETRIC POPULATIONS

###
NICKOS PAPADATOS

*Department of Mathematics, Section of Statistics and
Operations Research,*

University of Athens, Panepistemiopolis, 157 84 Athens, Greece
(Received March 22, 1995; revised October 2, 1995)

**Abstract.**
The maximum variance of order statistics from
a symmetrical parent population is obtained in terms of the
population variance. The proof is based on a suitable
representation for the variance of order statistics in terms of the
parent distribution function.

*Key words and phrases*:
Order statistics, maximum
variance, symmetric populations.

**Source**
( TeX ,
DVI ,
PS )