Extensions of Samuelson's Inequality

Authors
Wolkowicz, Henry Styan, George P.H.
Citation
Wolkowicz, Henry et Styan, George P.h, Extensions of Samuelson's Inequality, American statistician , 33(3), 1979, pp. 143-144
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
33
Issue
3
Year of publication
1979
Pages
143 - 144
Database
ACNP
SICI code
Abstract
In this note we obtain upper and lower bounds for the kth largest number in a set of real numbers in terms of their mean and standard deviation.For each inequality necessary and sufficient conditions for equality are given.