properties of discrete reversed aging intensity function

In this paper, we discuss the properties of reversed aging intensity (rai) function for discrete random variable and study its nature for some distributions. further, using this function we characterize some discrete related distributions. the closure properties of the aging classes defined in terms of rai function are also presented and study its closure properties under different reliability operations, viz., formation of k-out-of-n system. moreover, we define an ordering, called reversed aging intensity ordering and study its relationship with some usual stochastic orderings. also a numerical example is given to explain the theoretical results.