Shocks, runs and random sums

Shocks, runs and random sums
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DOI:
10.1239/jap/996986754
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发表时间:
2001-06
影响因子:
1
通讯作者:
F. Mallor;E. Omey
F. Mallor;E. Omey
中科院分区:
数学4区
文献类型:
--
作者:
F. Mallor;E. Omey

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本文研究了与冲击可靠性模型有关的随机变量。我们的模型可用于研究当k个连续的临界量级(例如高于或低于某一临界水平)的冲击发生时失败的系统。我们得到的随机变量的分布函数的性质,我们得到他们的极限行为时,k趋于无穷大或当进入一个临界集的概率趋于零。该模型推广了泊松冲击模型。
In this paper we study random variables related to a shock reliability model. Our models can be used to study systems that fail when k consecutive shocks with critical magnitude (e.g. above or below a certain critical level) occur. We obtain properties of the distribution function of the random variables involved and we obtain their limit behaviour when k tends to infinity or when the probability of entering a critical set tends to zero. This model generalises the Poisson shock model.