International Journal of Mathematics and Mathematical Sciences 
Volume 28 (2001), Issue 6, Pages 321-330
doi:10.1155/S0161171201007049

On moment inequalities and stochastic ordering for weighted reliability measures

Broderick O. Oluyede and Mekki Terbeche

 Department of Mathematics and Computer Science, Georgia Southern University, Statesboro 30460, GA, USA
Received 15 March 2001

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.