Shock Models with NEXBRC Properties.

Document Type : Original Article

Authors

Dep. of Statistics, College of Science, King Saud University, Riyadh,Saudi Arabia

Abstract

The new exponential better than renewal in convex (NEXBRC) class of life distributions, which is an intermediate class between HNBUE and GHN-BUE, and its dual class NEXWRC are studied. Relationships with other classes of life distributions are presented. A shock model in which shocks are arriving according to a nonhomogeneous Poisson process, is also studied. A shock model for NEXBRC (NEXWRC) based on probability generating function is also established. The Laplace transform characterization for this class is given.

Keywords