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非齐次泊松过程下的截断δ-冲击模型
张攀1, 马明2, 郑莹2
1.陕西服装工程学院基础部, 陕西 咸阳 712046;2.西北民族大学数学与计算机科学学院, 甘肃 兰州 730030
摘要:
本文研究了一类特殊的冲击模型-截断δ-冲击模型,利用可靠性理论得到了此类冲击模型系统寿命可靠度函数及其上界、矩存在的充分条件、失效率函数及寿命分布类,将截断δ-冲击模型由基础过程为齐次泊松过程情形推广到了非齐次泊松过程情形.
关键词:  截断δ-冲击模型  非齐次泊松过程  可靠度函数  失效率函数  寿命分布类
DOI:
分类号:O213.2
基金项目:国家自然科学基金资助(11361049);甘肃省科技计划资助项目(甘肃省自然科学基金)资助(1308RJZA147).
CENSORED δ-SHOCK MODEL UNDER NON-HOMOGENEOUS POISSON PROCESS
ZHANG Pan1, MA Ming2, ZHENG Ying2
1.The Foundation Dpt., ShaanXi Fashion Engineering University, Xianyang 712046, China;2.School of Math. and Comput. Sci., Northwest University for Nationalities, Lanzhou 730030, China
Abstract:
In this paper, we studied a class of special shock model-censored-shock model. In the shock model, using the theory of reliability, we obtain the reliability function and its upper bounds, the sufficient conditions for the existence of the moment, the failure rate function of the system lifetime and the class of life distribution. The censored δ-shock model by the basic process for homogeneous Poisson process conditions is generalized to non-homogeneous Poisson process.
Key words:  censored δ-shock model  non-homogeneous Poisson process  reliability function  the failure rate function  the class of life distribution