Extensions of Samuelson's Inequality
- 1 August 1979
- journal article
- Published by Taylor & Francis in The American Statistician
- Vol. 33 (3) , 143-144
- https://doi.org/10.1080/00031305.1979.10482683
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.Keywords
This publication has 2 references indexed in Scilit:
- Inequalities of Chebyshev Type Involving Conditional ExpectationsThe Annals of Mathematical Statistics, 1969
- How Deviant Can You Be?Journal of the American Statistical Association, 1968