Generalized minimax and maximin inequalities for order statistics and quantile functions
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- by Joel E. Cohen PDF
- Proc. Amer. Math. Soc. 141 (2013), 2515-2517
Abstract:
Let $A$ be a finite real matrix with element $A(i,j)$ in row $i$ and column $j$. We generalize von Neumann’s inequality $\mathrm {min}_{j}\mathrm {max}_iA(i,j)\geq$ $\mathrm {max}_i \mathrm {min}_j A(i,j)$ by replacing $\mathrm {min}$ by every order statistic.References
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Additional Information
- Joel E. Cohen
- Affiliation: Laboratory of Populations, The Rockefeller University and Columbia University, 1230 York Avenue, New York, New York 10065
- Email: cohen@rockefeller.edu
- Received by editor(s): June 14, 2011
- Received by editor(s) in revised form: October 11, 2011
- Published electronically: February 28, 2013
- Communicated by: Walter Craig
- © Copyright 2013 Joel E. Cohen
- Journal: Proc. Amer. Math. Soc. 141 (2013), 2515-2517
- MSC (2010): Primary 62C20, 62G30, 90C47, 91A05, 97K40
- DOI: https://doi.org/10.1090/S0002-9939-2013-11509-1
- MathSciNet review: 3043031