基于Kriging模型的失效率计算方法研究

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1、分类号O29学号14020015UDC密级公开理学硕士学位论文基于Kriging模型的失效率计算方法研究硕士生姓名赵子淦学科专业数学研究方向试验设计与数据分析指导教师王正明教授国防科学技术大学研究生院二〇一六年十二月StudyonCalculationMethodofFailureProbabilityBasedonKrigingModelCandidate:ZHAOZiganAdvisor:Prof.WANGZhengmingAdissertationSubmittedinpartialful

2、fillmentoftherequirementsforthedegreeofMasterofScienceinMathematicsGraduateSchoolofNationalUniversityofDefenseTechnologyChangsha,Hunan,P.R.ChinaDecember11,2016国防科学技术大学研究生院硕士学位论文目录摘要......................................................................

3、..................................................iABSTRACT...............................................................................................................iii第一章绪论........................................................................

4、....................................11.1研究背景及意义.......................................................................................11.2相关理论及研究现状...............................................................................21.3本文主要工作..............

5、.............................................................................3第二章基于Kriging模型的主动学习方法..........................................................52.1Kriging模型简介[25]..........................................................................

6、.......52.2方法框架...................................................................................................72.3基于单个MC样本信息的学习函数和停止准则...................................92.3.1EGRA...................................................................

7、...........................102.3.2AK-MCS及其改进........................................................................102.3.3IBS2及其改进................................................................................112.4本章小结..............................

8、.....................................................................12第三章基于全部MC样本信息的学习函数和停止准则....................................133.1不确定性减少量化函数URQF................................................................143.2基于相对误差的停止准则研究...................