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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (1): 95-100.doi: 10.6040/j.issn.1671-9352.0.2020.365

• • 上一篇    

有重点伯努利冲击到达的开型截断δ冲击模型的寿命行为

姜伟欣,马明*,刘华   

  1. 西北民族大学数学与计算机科学学院, 甘肃 兰州 730030
  • 发布日期:2021-12-21
  • 作者简介:姜伟欣(1997— ),男,硕士研究生,研究方向为可靠性数学理论. E-mail:alaojiang@qq.com*通信作者简介:马明(1971— ),男,博士,教授,研究方向为可靠性数学理论、客户寿命价值. E-mail:mm9252@qq.com
  • 基金资助:
    中央高校基本科研业务费专项资金资助项目(31920210019);西北民族大学中央高校基本科研业务费专项资金资助研究生项目(Yxm2021068);西北民族大学本科教学质量提高项目(2020ZDJG-08);甘肃省2021年高等教育教学成果培育项目;甘肃省科技计划项目(20JR5RA512)

Lifetime behavior of the open censored δ shock model with multiple Bernoulli arrival

JIANG Wei-xin, MA Ming*, LIU Hua   

  1. School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Published:2021-12-21

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摘要： 研究了一种新的截断δ冲击模型,讨论了更新间隔服从非负几何分布离散开型截断δ冲击模型的寿命性质,即在任意失效临界值的情况下,得到了系统的寿命分布、平均寿命、可靠度函数与失效率函数。为了使结果更加直观,用图表的方式对平均寿命与一些特殊参数的关系进行了分析。

关键词: 截断δ冲击模型, 非负几何分布, 寿命分布

Abstract: A new censored δ shock model is studied, and the lifetime properties of the discrete open censored δ shock model with renew intervals following non-negative geometric distribution are discussed. In the case of any critical failure value, the lifetime distribution, average lifetime, reliability function and failure rate function of the system are obtained. In order to make the results more intuitive, the relationship between average life and some special parameters is analyzed by using figure and table.

Key words: censored δ shock model, non-negative geometric distribution, lifetime distribution

中图分类号: 

  • O213.2
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