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International Journal of Mathematics and Mathematical Sciences
Volume 28, Issue 6, Pages 321-330
http://dx.doi.org/10.1155/S0161171201007049

On moment inequalities and stochastic ordering for weighted reliability measures

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

Received 15 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.

Abstract

We obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. We introduce the notion of variability ordering via the probability functional and comparisons made for the weighted and the original distributions. We present moment inequalities, comparisons, and applications.