吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (2): 292-302.

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Poisson截断δ冲击模型失效参数的Bayes估计

马明, 彭博, 拉毛措, 冶建华   

  1. 西北民族大学 数学与计算机科学学院, 兰州 730030
  • 收稿日期:2022-05-31 出版日期:2023-03-26 发布日期:2023-03-26
  • 通讯作者: 彭博 E-mail:pb3408@qq.com

Bayes Estimation of Failure Parmater for Poisson Censored δ-Shock Model

MA Ming,  PENG Bo, Lamaocuo, YE Jianhua   

  1. School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China
  • Received:2022-05-31 Online:2023-03-26 Published:2023-03-26

摘要: 针对Poisson截断δ冲击模型失效参数的估计问题, 利用Bayes估计方法,  在最小均方误差原则下, 基于寿命终止时总冲击次数及冲击到达时间这两类样本数据, 在不同的先验假设下, 给出Poisson截断δ冲击模型失效参数δ的Bayes估计量.

关键词: 截断δ冲击模型, Poisson过程, Bayes估计, 参数估计

Abstract: Aiming at the problem of estimating the failure parameters of the Poisson censored δ-shock model, under the principle of minimum mean square error and different priori assumptions, the Bayesian estimations of the failure parameters δ of the Possion censored δ-shock model were given  based on the  two kinds of sample data of  total number of shocks in the end of life and the  arrival time of shock by using the Bayesian estimation method.

Key words: censored δ-shock model, Poisson process, Bayesian estimation, parameter estimation

中图分类号: 

  • O213.2