The life distribution of a device subject to shocks governed by homogeneous and non-homogeneous Poisson processes are considered as functions of probabilities of surviving the first shocks. It is shown that some properties of discrete distribution are reflected on properties of the continuous life distribution . In particular, if has the discrete NRBUE (NRWUE) properties, then has the continuous NRBUE (NRWUE) properties. A certain cumulative damage model is also investigated. The Laplace transform characterization for these NRBUE (NRWUE) properties are given.