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International Journal of Mathematics and Mathematical Sciences
Volume 28, Issue 4, Pages 201-209

On stochastic comparisons of energy functions with applications

Department of Mathematics and Computer Science, Georgia Southern University, Statesboro 30460, GA, USA

Received 1 March 2001

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We develop simple methods for the stochastic comparisons of informational energy functions. We introduce modified informational energy functions and uncertainty of parameter functions are introduced for models with realistic parameter spaces. We present inequalities, comparisons, and applications including test procedures for testing the equality of informational energy functions. Some illustrative examples are also presented.