Journal of Inequalities and Applications 
Volume 7 (2002), Issue 5, Pages 647-661
doi:10.1155/S1025583402000334

On inequalities and partial orderings for weighted reliability measures

B. O. Oluyede

 Department of Mathematics and Computer Science, Georgia Southern University, Statesboro 30460, GA, USA
Received 3 December 2000; Revised 15 February 2001

Abstract

Inequalities, relations and partial ordering for weighted reliability measures are presented. Inequalities for Lévy distance measure for weighted distributions are obtained in terms of the parent distributions. Reliability inequalities and stability results are established for weighted distributions with monotone hazard and mean residual life functions.