On Two Damage Accumulation Models and Their Size Effects

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On Two Damage Accumulation Models and Their Size Effects

Two cumulative damage models are considered, the inverse gamma process and a composed gamma process. They can be seen as ‘continuous’ analogues of Poisson and compound Poisson processes, respectively. For these models the first passage time distribution functions are derived. Inhomogeneous versions of these processes lead to models closely related to the Weibull failure model. All models show i...

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ژورنال

عنوان ژورنال: Journal of Applied Probability

سال: 2007

ISSN: 0021-9002,1475-6072

DOI: 10.1017/s0021900200002746