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Original Articles

Semiparametric Estimation of Gamma Processes for Deteriorating Products

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Pages 504-513 | Received 01 Dec 2012, Published online: 10 Dec 2014

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Tongdan Jin. 2019. Reliability Engineering and Service. Reliability Engineering and Service 259 307 .
Tongdan Jin. 2019. Reliability Engineering and Service. Reliability Engineering and Service 481 523 .
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Jianchun Zhang, Xiaobing Ma & Yu Zhao. (2017) Reliability Demonstration for Long-Life Products Based on Hardened Testing Method and Gamma Process. IEEE Access 5, pages 19322-19332.
Crossref
N. Balakrishnan, Chih-Chun Tsai & Chien-Tai Lin. 2017. Statistical Modeling for Degradation Data. Statistical Modeling for Degradation Data 171 191 .
Chih-Chun Tsai, Chien-Tai Lin & N. Balakrishnan. 2017. Statistical Modeling for Degradation Data. Statistical Modeling for Degradation Data 105 124 .
Xiao-Sheng Si, Zheng-Xin Zhang & Chang-Hua HuXiao-Sheng Si, Zheng-Xin Zhang & Chang-Hua Hu. 2017. Data-Driven Remaining Useful Life Prognosis Techniques. Data-Driven Remaining Useful Life Prognosis Techniques 217 246 .
Qingqing Zhai, Zhi-Sheng Ye, Jun Yang & Yu Zhao. (2016) Measurement errors in degradation-based burn-in. Reliability Engineering & System Safety 150, pages 126-135.
Crossref
Waltraud Kahle, Sophie Mercier & Christian Paroissin. 2016. Degradation Processes in Reliability. Degradation Processes in Reliability 199 207 .
Donghui Pan, Jia-Bao Liu & Jinde Cao. (2016) Remaining useful life estimation using an inverse Gaussian degradation model. Neurocomputing 185, pages 64-72.
Crossref
Chen Piao & Ye Zhi-Sheng. (2015) Tolerance limits for gamma distribution based on generalized fiducial method. Tolerance limits for gamma distribution based on generalized fiducial method.
Zhengxin Zhang, Xiaosheng Si, Changhua Hu & Xiangyu Kong. (2015) Degradation modeling–based remaining useful life estimation: A review on approaches for systems with heterogeneity. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 229:4, pages 343-355.
Crossref
Zhi-Sheng Ye, Nan Chen & Yan Shen. (2015) A new class of Wiener process models for degradation analysis. Reliability Engineering & System Safety 139, pages 58-67.
Crossref
Xinghui Zhang, Lei Xiao & Jianshe Kang. (2015) Degradation Prediction Model Based on a Neural Network with Dynamic Windows. Sensors 15:3, pages 6996-7015.
Crossref
Ye Zhang & Haitao Liao. (2015) Analysis of Destructive Degradation Tests for a Product With Random Degradation Initiation Time. IEEE Transactions on Reliability 64:1, pages 516-527.
Crossref
Kwok L. Tsui, Nan Chen, Qiang Zhou, Yizhen Hai & Wenbin Wang. (2015) Prognostics and Health Management: A Review on Data Driven Approaches. Mathematical Problems in Engineering 2015, pages 1-17.
Crossref
Sangbum ChoiXuelin HuangJanice N. CormierKjell A. Doksum. (2014) A semiparametric inverse‐Gaussian model and inference for survival data with a cured proportion. Canadian Journal of Statistics 42:4, pages 635-649.
Crossref
Weiwen Peng, Yan-Feng Li, Yuan-Jian Yang, Hong-Zhong Huang & Ming J. Zuo. (2014) Inverse Gaussian process models for degradation analysis: A Bayesian perspective. Reliability Engineering & System Safety 130, pages 175-189.
Crossref
Xinghui Zhang, Jianshe Kang & Tongdan Jin. (2014) Degradation Modeling and Maintenance Decisions Based on Bayesian Belief Networks. IEEE Transactions on Reliability 63:2, pages 620-633.
Crossref

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