Shock Models with NEXBRC Properties. By: M. I. Hendi and H. Al-Nachawati

Document Type : Original Article

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.

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