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基于数理统计方法的可靠性分析
引用本文:刘恒昌,周颢,赵保华,屈玉贵. 基于数理统计方法的可靠性分析[J]. 中国科学技术大学学报, 2004, 34(2): 241-245
作者姓名:刘恒昌  周颢  赵保华  屈玉贵
作者单位:中国科学技术大学计算机系,安徽,合肥,230027
基金项目:国家自然科学基金重大研究计划项目 (90 1 0 4 0 1 0 ),国家自然科学基金 (6 0 2 4 1 0 0 4 ),国家“86 3”计划(2 0 0 1AA1 2 1 0 1 6 ),国家“973”计划 (2 0 0 3CB31 4 80 1 )
摘    要:从统计学的角度来讨论一致性测试的可靠性 .将输入空间E划分为不相交的等价子空间 ,然后建立一种新的数学模型 ,利用数理统计的知识得到了“零错误”时P的置信上界 .并且得到了在大样本性质下 ,此置信上界只与输入测试例个数和置信系数相关的结论 .最后通过一个实例来对所述理论进行验证

关 键 词:一致性测试的可靠性  数理统计  置信区间
文章编号:0253-2778(2004)02-0241-05
修稿时间:2003-05-11

Reliability of Conformance Tests Based on Mathematical Statistics
LIU Heng chang,ZHOU Hao,ZHAO Bao hua,QU Yu gui. Reliability of Conformance Tests Based on Mathematical Statistics[J]. Journal of University of Science and Technology of China, 2004, 34(2): 241-245
Authors:LIU Heng chang  ZHOU Hao  ZHAO Bao hua  QU Yu gui
Abstract:Conformance testing is considered from a statistical point of view in this paper. The input space is parlitioned into homogeneous disjoint subdomains, and a new mathematical model is constructed to find the confidence upper bound with the knowledge of mathematical statistics. It is concluded that this upper bound is merely correlated with the amounts of input samples and the confidence coefficient. Finally, an example is given to validate the related theory.
Keywords:reliability of conformance testing  mathematical statistics  confidence upper bound
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