JIPAM

A Variance Analog of Majorization and Some Associated Inequalities  
 
  Authors: Michael G. Neubauer, William Watkins,  
  Keywords: Inequality, Symmetric polynomial, Majorization, Schur convex, Variance.  
  Date Received: 03/03/06  
  Date Accepted: 21/03/06  
  Subject Codes:

Pri: 26D05, 26D07; Sec: 15A42.

  
  Editors: Ingram Olkin,  
 
  Abstract:

We introduce a partial order, variance majorization, on $ \mathbb{R}^n$, which is analogous to the majorization order. A new class of monotonicity inequalities, based on variance majorization and analogous to Schur convexity, is developed.;


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