For a system that is subject to shocks, it is assumed that the distribution of the magnitudes of shocks changes after the first shock of size at least d1, and the system fails upon the occurrence of the first shock above a critical level d2 (> d1). In this paper, the distribution of the lifetime of such a system is studied when the times between successive shocks follow matrix-exponential distribution. In particular, it is shown that the system's lifetime has matrix-exponential distribution when the intershock times follow Erlang distribution. The model is extended to the case when the system fails upon the occurrence of l consecutive critical shocks.

中文翻译：

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改变冲击尺寸分布的新冲击模型

对于一个受到冲击的系统，假设冲击幅度的分布至少在第一次大小冲击之后发生变化d1，并且系统在发生第一次高于临界水平的冲击时失效d2(>d1）。在本文中，研究了当连续冲击之间的时间遵循矩阵指数分布时这种系统的寿命分布。特别是，当间震时间服从 Erlang 分布时，系统的寿命具有矩阵指数分布。将该模型推广到系统发生故障时的情况l连续的严重冲击。