冲击模型可靠度的界

THE RELIABILITY BOUNDS OF SHOCK MODELS

对于冲击模型H(t)=sum from k=0 to ∞ P{N(t)=k}·P_k其中{N(t),t≥0}是更新过程,间隔时间分布函数F(t)存在有限均值,在以下情况下,我们讨论了其界值问题: ①F(t)是IFR类分布;②F(t)是DFR类分布; ③F(t)是NBUE类分布;④F(t)是NWUE类分布.而且对一些特殊情况,其结论更简洁.

For the shock model H(t) = , where {N(t) ,t≥0} is a renewal processhaving inter-arrival distribution F(t) with a finite mean μ , we discuss its bounds under the cases as below :(1) F(t) is IFR; (2) F(t) is DFR;(3)F(t) is NBUE; (4)F(t)is NWUE,and obtain more concise results for some specific cases.