Characterizations of discrete distributions using reliability concepts in reversed time

摘要

In the present work we establish characterizations of some discrete distributions using properties of the reversed hazard rate and reversed mean residual life. Discrete distributions having a constant reversed hazard rate, the reversed lack of memory property, and the product of the reversed hazard rate and the mean residual life a constant are identified. Some properties of the reversed variance residual life and a characterization are also discussed.