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EXACT BOUNDS FOR THE EXPECTATIONS OF ORDER

STATISTICS FROM NON-NEGATIVE POPULATIONS

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NICKOS PAPADATOS

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

University of Athens, Panepistemiopolis, 157 84 Athens, Greece
(Received March 22, 1995; revised November 21, 1996)

**Abstract.**
Some new exact bounds for the
expected values of order statistics, under the
assumption that the parent population is non-negative,
are obtained in terms of the population mean. Similar
bounds for the differences of any two order statistics
are also given. It is shown that the existing bounds
for the general case can be improved considerably
under the above assumption.

*Key words and phrases*:
Exact bounds,
expectations, order statistics, non-negative
populations.

**Source**
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