Shock Models with NEXBRC Properties. By: M. I. Hendi and H. Al-Nachawati | ||||
| The Egyptian Statistical Journal | ||||
| Article 1, Volume 40, Issue 1, June 1996, Page 1-14 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1996.314651 | ||||
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| 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 | ||||
| Laplace Transform; Life Distributions; NEXBRC Class; Nonhomogeneous Poisson Process; Probability Generating Function; Shock Model | ||||
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