应用数学2024，Vol.37Issue(4)：1004-1013,10.
双定时混合截尾下Lomax部件的可靠性分析
Reliability Analysis of Lomax Components Under Double Type-Ⅰ Hybrid Censoring
摘要
Abstract
Under double Type-Ⅰ hybrid censored data,the maximum likelihood method is used to obtain the maximum likelihood estimates of the unknown parameters,reliability function and hazard function for Lomax distribution.Based on a mixture of continuous and discrete prior distributions,the Bayesian estimates of the model parameters,reliability and hazard rate are considered under three types of loss functions.The predictive values and predictive intervals of the future failure times for the censored samples are obtained by using the classical method and Bayesian method,respectively.The maximum likelihood method is used to estimate the hyperparameters in the prior distributions,and the uniqueness of the estimated values is proved.In order to investigate the properties of the estimators,the mean square errors are computed by the Monte Carlo simulation,and the results show that the Bayesian estimates are superior to maximum likelihood estimates.By analyzing a numerical example,the estimates of the unknown parameters and reliability indexes are obtained.关键词
Lomax分布/双定时混合截尾/Bayes估计/Bayes预测Key words
Lomax distribution/Double Type-Ⅰ hybrid censoring/Bayesian estimate/Bayesian prediction分类
数理科学引用本文复制引用
龙兵,张忠占..双定时混合截尾下Lomax部件的可靠性分析[J].应用数学,2024,37(4):1004-1013,10.基金项目
国家自然科学基金(12271014) （12271014）
荆楚理工学院科研项目(QN202426) （QN202426）
