NBU-[t_0,∞)寿命分布及其冲击模型

Shocks Model Leads to NBU-[t_0 ,∞ ) Life Distributions

讨论了一个延迟Poisson冲击模型以产生NBU-[t0,∞)寿命分布,这个结果是对Poisson冲击产生NBU分布的推广;研究了NBU-[t0,∞)寿命分布与已有寿命分布类NBU和NBU-t0的关系,利用灾难变换证明了它在协同结构下的封闭性,同时证明NBU-[t0,∞)与NBU寿命分布的卷积仍然具有NBU-[t0,∞)性质.

A kind of delayed Poisson shocks model is introduced to produce NBU- [t0 ,∞ ) life distributions;This generalizes the result is that Poisson shocks model leads to the well known NBU life distribution.Some relations between the NBU- [t0 ,∞ ) ,on the one hand and the known NBU,NBU- t0 class of life distributions on the other are discussed.Further- more,the preservation properties under the coherent system,and the convolution property between NBU and NBU- [t0 ,∞ ) elements are also discussed in great detail.