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估计不同阶段和环境下的设备可靠性
  • ISSN号：0479-8023
  • 期刊名称：《北京大学学报：自然科学版》
  • 时间：0
  • 分类：O212[理学—概率论与数理统计;理学—数学] O213[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]北京大学数学科学学院,北京100871, [2]北京航空航天大学工程系统工程系,北京100083
  • 相关基金：总装预研重点基金（9140A19030106HK0108）和自然科学基金（10731010）资助项目
作者： 何书元[1], 赵宇[2], 房祥忠[1]
关键词： 可靠性, 对数正态分布, 环境, reliability , log-normal , environment
中文摘要：

同型号设备的可靠性根据不同的使用环境发生变化。随着环境指标的不断恶化或改善,可靠性形成环境的函数称为可靠性曲线。估计出这条曲线后,就可以对未知环境下的设备可靠性给出合理的预测。在不同的试验阶段,可靠性曲线的形状一般有显著的不同。作者利用全体试验数据估计最后试验阶段的可靠性曲线,对于对数正态总体研究不同试验阶段的可靠性曲线的估计问题,给出了估计方法,证明了估计量的一致强相合性,并用计算机模拟试验说明方法的可用性。

英文摘要：

Under different experiment periods and environments, the same equipment shows different reliability. As the environment condition changes, the equipment reliability becomes a function of the environment,which is called a reliability curve. Given the estimation of the reliability curve, one can predict the equipment reliability for unknown environment. The log-normal data is discussed, the estimator is provided, the strong consistency is proved and simulation is used to show the estimator can be used in practice.

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期刊信息
  • 《北京大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:北京大学
  • 主编：赵光达
  • 地址：北京海淀区海淀路52号
  • 邮编：100871
  • 邮箱：xbna@pku.edu.cn
  • 电话：010-62756706
  • 国际标准刊号：ISSN：0479-8023
  • 国内统一刊号：ISSN：11-2442/N
  • 邮发代号:2-89
  • 获奖情况:
  • 1997年第二届全国优秀科技期刊评比一等奖,1999年教育部“优秀自然科学学报一等奖”,1999年获首届国家期刊奖,中国期刊方阵“双高”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,英国科学文摘数据库,英国动物学记录,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘,中国北大核心期刊（2000版）
  • 被引量:18270