“…The analysis of lifetime data in discrete time is also concerned with the data measured in intervals [6]. A good overview of discrete probability distributions used in reliability theory can be found in Bracquemond and Gaudoin [2], Kemp [8], Nanda and Sengupta [12], Chen and Manatunga [3], Yu [16], Karlisa and Patileab [7], Nawata et al [14,13], Bebbington et al [1], Lai [9] and the references therein. This necessitates the development of tools, analogous to the continuous case, for studying the discrete lifetime data.…”