Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Statistics & Decision》 2019-24
Add to Favorite Get Latest Update

An Improved Method for Estimation of Failure Probability in Weibull Distribution Without Failure Date

Li Shuang;Li Yunfei;Gao Haijun;College of Mathematics and Information, China West Normal University;  
When the distribution distribution curve method is used to estimate the reliability parameters of Weibull distribution data without failure, the most important thing is to estimate the failure probability [PI(I =1,2... k)]. The accuracy of failure probability estimation determines the accuracy of the final reliability parameter estimation and the reliability estimation. Making use of the Bayes theory, that is, the posterior distribution is the adjustment of the prior distribution, and based on the Bayes multilayer estimation, this paper proposes a posterior distribution of the post failure probability to modify the prior distribution of the prior time failure probability, namely the method of correcting the value upper bounds of the failure probability at the truncation time. Through the specific example of bearing experiment, the paper verifies the robustness and feasibility of the proposed method.
【Fund】: 四川省教育厅自然科学重点项目(13ZA0016);; 西华师范大学英才科研基金项目(17YC381)
【CateGory Index】: O21
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 7 Hits
1 ZHANG Yong-bo,FU Hui-min,WANG Zhi-hua(Research Center of Small Sample Technology, Beijing University of Aeronautics and Astronautics,Beijing 100191,China);Fatigue life scatter factor analysis for time truncated zero-failure data based on Weibull distribution[J];航空动力学报;2012-04
2 SUN Wanlong; CHEN Jiading (Department of Probability and Statistics, Peking University, Beijing 100871, China);SOME NEW RESULTS ON THE CONFIDENCE LIMITS FOR RELIABILITY PARAMETERS IN THE CASE OF NO FAILURES[J];Systems Science and Mathematical Sciences;1999-01
3 Han Ming(Ningbo University,Ningbo 315211);The Hierarchical Bayesian Reliability Analysis of Zero-Failure Data[J];应用数学;1998-02
4 Wang LingLing Wang BingXing(East China Normal University) (Hangzhou Institude of Commerce);Statistical Analysis For No-Failure Data -Modifield Likelihood Function Method[J];数理统计与应用概率;1996-01
5 Zhang Zhihua;Statistical Analysis about Zero-Failure Data[J];数理统计与应用概率;1995-01
6 Mao Shisong Xia Jianfeng(East China Normal University, Shanghai 200062);THE HIERARCHICAL BAYESIAN ANALYSIS OF THE ZERO-FAILURE DATA[J];高校应用数学学报A辑(中文版);1992-03
7 zhang Zhongzhan Yang Zhenhai(Beijing Polytechnic University);The Equivalent Number of Failures and Its Application[J];数理统计与应用概率;1991-03
Chinese Journal Full-text Database 10 Hits
1 TANG Bai-sheng;JIANG Teng-fei;The Navy Military Representative Office of Missile Equipment in Beijing;;Reliability Assessment of Laser Gyroscope Based on Bayesian Theory[J];导航与控制;2016-02
2 Lou Hongliang;Chen Lei;Li Xinglin;Dan Zhaojiang;Chen Bingshun;Quality and Safety Engineering Institute,China Jiliang University;Postdoctoral Research Workstation,Hangzhou Bearing Test & Research Center Co.,Ltd.;Hangzhou Trust Auto Bearing Co.,Ltd.;;Reliability Estimation for Rolling Bearings Based on Virtual Information[J];轴承;2015-11
3 GAO Pan-dong;SHEN Xue-jin;CHEN Xiao-yang;ZHANG Tao;Department of Mechanical Automation Engineering,Shanghai University;;Reliability analysis for aircraft bearing with zero-failure data[J];航空动力学报;2015-08
4 JIA Xiang;JIANG Ping;GUO Bo;College of Information System and Management,National University of Defense Technology;;THE ESTIMATION TO FAILURE PROBABILITY FOR ZERO-FAILURE DATA IN WEIBULL DISTRIBUTION[J];机械强度;2015-02
5 FU Jirui;WAHAP Halik;GUAN Jingyun;YAO Yiping;The Key Lab for Oasis Ecosystem of Ministry of Education,Xinjiang University;College of Resource and Environment Science,Xinjiang University;College of Tourism Management,Xinjiang University;;Analysis of water resources vulnerability in Turpan[J];黑龙江大学自然科学学报;2015-01
6 HUANG Kaiqi;BI Wen;GU Yingkui;School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology;;Analysis of tests on engines with driving fault-free[J];江西理工大学学报;2015-01
7 LU Ming-zhang;LI Yun-feng;YANG Zhi-gang;ZHAO Hai-jun;SONG Yong-jun;No.91049 Unit of PLA;;Storage Reliability Assessment of Equipment Based on Testing Data[J];数学的实践与认识;2014-20
8 GUO Heng-hui;LI Chuan-ri;PANG Yue-chan;WANG Kai-shan;Reliability and System Engineering Institute,Beihang University;;Calculation of Acceleration Factor Based on Maximum Likelihood Estimation[J];装备环境工程;2014-05
9 FANG Weihua;JIN Yaqiu;CHU Huaping;School of Science,Nanjing University of Science and Technology;Nanjing Automation Institute of Water Conservancy and Hydrology;College of Water Conservancy and Hydropower Engineering,Hohai University;;Reliability Analysis of Regional Reservoir Group Based on Zero-failure Data[J];水电能源科学;2014-09
10 CAI Zhong-yi;CHEN Yun-xiang;XIANG Hua-chun;DONG Xiao-xiong;Equipment Management & Safety Engineering College,Air Force Engineering University;;Method for evaluation of weight expected-Bayesian reliability based on zero-failure data[J];系统工程与电子技术;2015-01
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 FU Hui-min,ZHANG Yong-bo(Research Center of Small Sample Technology,Beijing University of Aeronautics and Astronautics,Beijing 100191,China);Method of reliability analysis for time truncated zero-failure data based on normal distribution[J];航空动力学报;2010-02
2 YAO Liang,FENG Yun-wen(College of Aeronautics,Northwestern Polytechnical University,Xi'an 710072,P.R.China);Fatigue Life Scatter Factor Conformation Method for Sample Follows the Three Parameters Weibull Distribution[J];科学技术与工程;2009-06
3 WANG Zhi1,2 LIU WenTing1 WANG Lei1,2 (1.School of Aeronautic Science and Technology,Beijing University of Aeronautics and Astronautics,Beijing 100083,China) (2.Beijing Aeronautical Research Center,Beijing 100076,China);STUDY ON FATIGUE SCATTER FACTOR OF INDIVIDUAL AIRCRAFT STRUCTURE[J];机械强度;2009-01
4 ZHANG Fu-ze(Beijing Aeronautical Technology Research Center, Beijing 100076, China);Law of Fatigue Scatter Factor Versus Test Stress[J];航空学报;2007-03
5 LU Xiao-yan,LU Shan(School of Engine and Energy,Northwestern Polytechnical University,Xi'an 710072,China);Life scatter factor method based on the kth order experimental life with logarithm normal distribution[J];航空动力学报;2006-04
6 WANG Wei-guo, QING Hua, WEN Wei-dong ( China Gas Turbine Establishment,Chengdu 610500,China; College of Energy and Power Engineering, Nanjing University of Aeronautics & Astronautics,Nanjing 210016,China);Scatter Factor Analysis Based on the Small Sample Fatigue Life of Weibull Distribution and Its Application[J];燃气涡轮试验与研究;2006-01
7 Lu Shan,Yang Jianqiu(School of Engine and Energy,Northwestern Polytechnical University,Xi′an 710072);Life Scatter Factor Method Based on the Worst and the Best Experiment Results of Small Samples[J];机械科学与技术;2006-01
8 ZHOU Bei, ZHU Ru-peng (College of Mechanical and Electrical Engineering , Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China);Fatigue Life Scatter Factor' s Computing Formulas of Airplane Structures in Countries[J];机械工程师;2005-02
9 HE Xiao fan LIU Wen ting (Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics);On Scatter Factors of Fatigue Life Obeying Different Distributions[J];北京航空航天大学学报;2002-01
10 Cui Weimin, Zhu Qiang, Zhu Depei (Department of Aircraft Engineering, Northwestern Polytechnical University, Xi′an 710072);A Better Method for Determining Fatigue Scatter Factor of Aircraft Structures[J];西北工业大学学报;2001-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved