Shock Models with NRBUE Classes of Ageing

Document Type : Original Article

Author

Dep. of Statistics & Operations Research, King Saud University, Riyah, Saudi Arabia

Abstract

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.

Keywords