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Original Articles

Using Degradation Measures to Estimate a Time-to-Failure Distribution

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Pages 161-174 | Published online: 12 Mar 2012

Keep up to date with the latest research on this topic with citation updates for this article.

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Kenneth J. Ryan, Michael S. Hamada & John R. Twist. (2024) Sequential Bayesian assurance tests for degradation data. Quality Engineering 36:1, pages 80-90.
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M. Kumar, P. N Bajeel, O. P. Yadav & K. C. Siju. (2022) Application of degradation growth model in the estimation of Bayesian system reliability. Communications in Statistics - Simulation and Computation 51:12, pages 7246-7265.
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John W. Lau, Edward Cripps & Sally Cripps. (2022) Remaining useful life prediction: A multiple product partition approach. Communications in Statistics - Simulation and Computation 51:9, pages 5288-5307.
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Jun Wang, Dianpeng Wang & Yubin Tian. (2022) Adaptive Bayesian prediction of reliability based on degradation process. Communications in Statistics - Simulation and Computation 51:8, pages 4788-4798.
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Lochana K. Palayangoda, Ronald W. Butler, Hon Keung Tony Ng, Fangfang Yang & Kwok Leung Tsui. (2022) Evaluation of mean-time-to-failure based on nonlinear degradation data with applications. IISE Transactions 54:3, pages 286-302.
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Neda Gorjian Jolfaei, Raufdeen Rameezdeen, Nima Gorjian, Bo Jin & Christopher W. K. Chow. (2022) Prognostic modelling for industrial asset health management. Safety and Reliability 41:1, pages 45-97.
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Nooshin Yousefi, Stamatis Tsianikas & David W. Coit. (2022) Dynamic maintenance model for a repairable multi-component system using deep reinforcement learning. Quality Engineering 34:1, pages 16-35.
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G. Prakash. (2021) A Bayesian approach to degradation modeling and reliability assessment of rolling element bearing. Communications in Statistics - Theory and Methods 50:23, pages 5453-5474.
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Minhee Kim, Jing-Ru C. Cheng & Kaibo Liu. (2021) An adaptive sensor selection framework for multisensor prognostics. Journal of Quality Technology 53:5, pages 566-585.
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Herbert Hove. (2021) Evaluation of statistical methods for assessing reliability from degradation data : A simulation study. Journal of Statistics and Management Systems 24:6, pages 1339-1361.
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Dan Li, Kamran Paynabar & Nagi Gebraeel. (2021) A degradation-based detection framework against covert cyberattacks on SCADA systems. IISE Transactions 53:7, pages 812-829.
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Lu Lu, Bingxing Wang, Yili Hong & Zhisheng Ye. (2021) General Path Models for Degradation Data With Multiple Characteristics and Covariates. Technometrics 63:3, pages 354-369.
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Tingting Huang, Yuepu Zhao, David W. Coit & Loon-Ching Tang. (2021) Reliability assessment and lifetime prediction of degradation processes considering recoverable shock damages. IISE Transactions 53:5, pages 614-628.
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Changxi Wang & Elsayed A. Elsayed. (2021) Stochastic modeling of degradation branching processes. IISE Transactions 53:3, pages 365-374.
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Wenjun Jiang, H. P. Hong & Jiandong Ren. (2021) Estimation of model parameters of dependent processes constructed using Lévy Copulas. Communications in Statistics - Simulation and Computation 50:3, pages 691-707.
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Pedro L. Ramos, Alex L. Mota, Paulo H. Ferreira, Eduardo Ramos, Vera L. D. Tomazella & Francisco Louzada. (2021) Bayesian analysis of the inverse generalized gamma distribution using objective priors. Journal of Statistical Computation and Simulation 91:4, pages 786-816.
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Amir Baghdadi, Lora A. Cavuoto, Allison Jones-Farmer, Steven E. Rigdon, Ehsan T. Esfahani & Fadel M. Megahed. (2021) Monitoring worker fatigue using wearable devices: A case study to detect changes in gait parameters. Journal of Quality Technology 53:1, pages 47-71.
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Xudan Chen, Xinli Sun, Xiong Ding & Jue Tang. (2020) The inverse Gaussian process with a skew-normal distribution as a degradation model. Communications in Statistics - Simulation and Computation 49:11, pages 2827-2843.
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Guru Prakash & Anshul Kaushik. (2020) A change-point-based Wiener process degradation model for remaining useful life estimation. Safety and Reliability 39:3-4, pages 253-279.
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Nima Gorjian, Rameez Rameezdeen, Neda Gorjian Jolfaei, Chris Chow & Bo Jin. (2020) Ref: EATJ-D-19-00148 - prediction of remaining useful life of naval structures using a covariate-base hazard model. Australian Journal of Structural Engineering 21:3, pages 208-217.
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Shah Limon, Bimal Nepal & Om Prakash Yadav. (2020) Reliability estimation considering multi-stress monotonic degradation test data with non-constant scale parameter. Quality Engineering 32:3, pages 478-491.
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Salman Jahani, Raed Kontar, Shiyu Zhou & Dharmaraj Veeramani. (2020) Remaining useful life prediction based on degradation signals using monotonic B-splines with infinite support. IISE Transactions 52:5, pages 537-554.
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Chien-Yu Peng & Ya-Shan Cheng. (2020) Student-t Processes for Degradation Analysis. Technometrics 62:2, pages 223-235.
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Changyue Song, Kaibo Liu & Xi Zhang. (2019) A generic framework for multisensor degradation modeling based on supervised classification and failure surface. IISE Transactions 51:11, pages 1288-1302.
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Ran Jin, Xinwei Deng, Xiaoyu Chen, Liang Zhu & Jun Zhang. (2019) Dynamic quality-process model in consideration of equipment degradation. Journal of Quality Technology 51:3, pages 217-229.
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Wujun Si, Qingyu Yang & Xin Wu. (2019) Material Degradation Modeling and Failure Prediction Using Microstructure Images. Technometrics 61:2, pages 246-258.
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Xiujie Zhao, Olivier Gaudoin, Laurent Doyen & Min Xie. (2019) Optimal inspection and replacement policy based on experimental degradation data with covariates. IISE Transactions 51:3, pages 322-336.
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Zhidong Sheng, Qingpei Hu, Jian Liu & Dan Yu. (2019) Residual life prediction for complex systems with multi-phase degradation by ARMA-filtered hidden Markov model. Quality Technology & Quantitative Management 16:1, pages 19-35.
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Raed Kontar, Shiyu Zhou, Chaitanya Sankavaram, Xinyu Du & Yilu Zhang. (2018) Nonparametric Modeling and Prognosis of Condition Monitoring Signals Using Multivariate Gaussian Convolution Processes. Technometrics 60:4, pages 484-496.
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Mosab Ababneh & Mohammed Al-Haj Ebrahem. (2018) Designing degradation experiments using a Weibull distribution. Journal of Statistics and Management Systems 21:6, pages 971-983.
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K. C. Siju & M. Kumar. (2018) Bayesian estimation of reliability using time-to-failure distribution of parametric degradation models. Journal of Statistical Computation and Simulation 88:9, pages 1717-1748.
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Hon Keung Tony Ng, Man Ho Ling & Ping Shing Chan. (2018) A gamma process modeling approach for the comparison of dissolution profiles. Drug Development and Industrial Pharmacy 44:4, pages 553-562.
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Yimeng Xie, Caleb B. King, Yili Hong & Qingyu Yang. (2018) Semiparametric Models for Accelerated Destructive Degradation Test Data Analysis. Technometrics 60:2, pages 222-234.
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Yili Hong, Man Zhang & William Q. Meeker. (2018) Big data and reliability applications: The complexity dimension. Journal of Quality Technology 50:2, pages 135-149.
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Wujun Si, Qingyu Yang, Xin Wu & Yong Chen. (2018) Reliability analysis considering dynamic material local deformation. Journal of Quality Technology 50:2, pages 183-197.
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Abdallah Chehade, Changyue Song, Kaibo Liu, Abhinav Saxena & Xi Zhang. (2018) A data-level fusion approach for degradation modeling and prognostic analysis under multiple failure modes. Journal of Quality Technology 50:2, pages 150-165.
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Dongjin Lee & Rong Pan. (2017) Predictive maintenance of complex system with multi-level reliability structure. International Journal of Production Research 55:16, pages 4785-4801.
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P. Bhuyan & A. Dewanji. (2017) Estimation of reliability with cumulative stress and strength degradation. Statistics 51:4, pages 766-781.
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Raed Kontar, Junbo Son, Shiyu Zhou, Chaitanya Sankavaram, Yilu Zhang & Xinyu Du. (2017) Remaining useful life prediction based on the mixed effects model with mixture prior distribution. IISE Transactions 49:7, pages 682-697.
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Huibing Hao, Chun Su & Chunping Li. (2017) Real-time reliability evaluation based on independent increment process with random effect. Quality Technology & Quantitative Management 14:3, pages 325-340.
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Le Liu, Xiao-Yang Li & Tong-Min Jiang. (2017) Integration method for reliability assessment with multi-source incomplete accelerated degradation testing data. Quality Engineering 29:3, pages 366-376.
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M. L. Fugate, M. S. Hamada & B. P. Weaver. (2017) Analyzing degradation data with a random effects spline regression model. Quality Engineering 29:3, pages 358-365.
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Anselm Lorenzoni, Michael Kempf & Oliver Mannuß. (2017) Degradation model constructed with the aid of dynamic Bayesian networks. Cogent Engineering 4:1.
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Sanling Song, David W. Coit & Qianmei Feng. (2016) Reliability analysis of multiple-component series systems subject to hard and soft failures with dependent shock effects. IIE Transactions 48:8, pages 720-735.
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Luis A. Rodríguez-Picón, Manuel I. Rodríguez Borbón, Delia J. Valles-Rosales & Víctor H. Flores Ochoa. (2016) Modelling degradation with multiple accelerated processes. Quality Technology & Quantitative Management 13:3, pages 333-354.
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Wei Wang, Junlin Xiong & Min Xie. (2015) Cold-standby redundancy allocation problem with degrading components. International Journal of General Systems 44:7-8, pages 876-888.
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Junbo Son, Qiang Zhou, Shiyu Zhou & Mutasim Salman. (2015) Prediction of the failure interval with maximum power based on the remaining useful life distribution. IIE Transactions 47:10, pages 1072-1087.
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Xiaolin Wang, Narayanaswamy Balakrishnan & Bo Guo. (2015) Residual life estimation based on nonlinear-multivariate Wiener processes. Journal of Statistical Computation and Simulation 85:9, pages 1742-1764.
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Thiago Rezende dos Santos & Enrico A. Colosimo. (2015) A modified approximate method for analysis of degradation data. Journal of Applied Statistics 42:6, pages 1322-1331.
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Li Hao, Nagi Gebraeel & Jianjun Shi. (2015) Simultaneous signal separation and prognostics of multi-component systems: the case of identical components. IIE Transactions 47:5, pages 487-504.
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Yili Hong, Yuanyuan Duan, William Q. Meeker, Deborah L. Stanley & Xiaohong Gu. (2015) Statistical Methods for Degradation Data With Dynamic Covariates Information and an Application to Outdoor Weathering Data. Technometrics 57:2, pages 180-193.
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Xiaolin Wang, Narayanaswamy Balakrishnan, Bo Guo & Ping Jiang. (2015) Residual life estimation based on bivariate non-stationary gamma degradation process. Journal of Statistical Computation and Simulation 85:2, pages 405-421.
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Qiang Zhou, Junbo Son, Shiyu Zhou, Xiaofeng Mao & Mutasim Salman. (2014) Remaining useful life prediction of individual units subject to hard failure. IIE Transactions 46:10, pages 1017-1030.
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Zhi-Sheng Ye, Min Xie, Loon-Ching Tang & Nan Chen. (2014) Semiparametric Estimation of Gamma Processes for Deteriorating Products. Technometrics 56:4, pages 504-513.
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Hong-fwu Yu & Chien-yu Peng. (2014) Designing a Degradation Test with a Two-Parameter Exponential Lifetime Distribution. Communications in Statistics - Simulation and Computation 43:8, pages 1938-1958.
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Christian Paroissin & Ali Salami. (2014) Failure Time of Non Homogeneous Gamma Process. Communications in Statistics - Theory and Methods 43:15, pages 3148-3161.
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O. Arda Vanli. (2014) A Failure Time Prediction Method for Condition-Based Maintenance. Quality Engineering 26:3, pages 335-349.
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Soudabeh Shemehsavar. (2014) A Bivariate Gamma Model for a Latent Degradation Process. Communications in Statistics - Theory and Methods 43:9, pages 1924-1938.
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Koosha Rafiee, Qianmei Feng & DavidW. Coit. (2014) Reliability modeling for dependent competing failure processes with changing degradation rate. IIE Transactions 46:5, pages 483-496.
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Xiaolin Wang, Bo Guo & Zhijun Cheng. (2014) Residual life estimation based on bivariate Wiener degradation process with time-scale transformations. Journal of Statistical Computation and Simulation 84:3, pages 545-563.
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A Brint & M Black. (2014) Improving estimates of asset condition using historical data. Journal of the Operational Research Society 65:2, pages 242-251.
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WilliamQ. Meeker & Yili Hong. (2014) Reliability Meets Big Data: Opportunities and Challenges. Quality Engineering 26:1, pages 102-116.
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Rensheng R. Zhou, Nicoleta Serban, Nagi Gebraeel & Hans-Georg Müller. (2014) A Functional Time Warping Approach to Modeling and Monitoring Truncated Degradation Signals. Technometrics 56:1, pages 67-77.
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Nan Chen & Kwok Leung Tsui. (2013) Condition monitoring and remaining useful life prediction using degradation signals: revisited. IIE Transactions 45:9, pages 939-952.
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Zhen Li, Yunfeng Zhang & Chunsheng Wang. (2013) A sensor-driven structural health prognosis procedure considering sensor performance degradation. Structure and Infrastructure Engineering 9:8, pages 764-776.
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Bi-Min Hsu, Ming-Hung Shu & Lang Wu. (2013) Dynamic performance modelling and measuring for machine tools with continuous-state wear processes. International Journal of Production Research 51:15, pages 4718-4731.
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David H. Collins, Jason K. Freels, Aparna V. Huzurbazar, Richard L. Warr & Brian P. Weaver. (2013) Accelerated Test Methods for Reliability Prediction. Journal of Quality Technology 45:3, pages 244-259.
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BrianP. Weaver, WilliamQ. Meeker, LuisA. Escobar & Joanne Wendelberger. (2013) Methods for Planning Repeated Measures Degradation Studies. Technometrics 55:2, pages 122-134.
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Julio C. Ferreira, Marta A. Freitas & Enrico A. Colosimo. (2012) Degradation data analysis for samples under unequal operating conditions: a case study on train wheels. Journal of Applied Statistics 39:12, pages 2721-2739.
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Linkan Bian & Nagi Gebraeel. (2012) Computing and updating the first-passage time distribution for randomly evolving degradation signals. IIE Transactions 44:11, pages 974-987.
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Ancha Xu & Yincai Tang. (2012) Objective Bayesian Analysis for Linear Degradation Models. Communications in Statistics - Theory and Methods 41:21, pages 4034-4046.
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Rensheng Zhou, Nagi Gebraeel & Nicoleta Serban. (2012) Degradation modeling and monitoring of truncated degradation signals. IIE Transactions 44:9, pages 793-803.
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LauraA. Hatfield, MarkE. Boye, MichelleD. Hackshaw & BradleyP. Carlin. (2012) Multilevel Bayesian Models for Survival Times and Longitudinal Patient-Reported Outcomes With Many Zeros. Journal of the American Statistical Association 107:499, pages 875-885.
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Heonsang Lim & Bong-Jin Yum. (2011) Optimal design of accelerated degradation tests based on Wiener process models. Journal of Applied Statistics 38:2, pages 309-325.
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Zhengqiang Pan, N. Balakrishnan*Quan Sun. (2011) Bivariate Constant-Stress Accelerated Degradation Model and Inference. Communications in Statistics - Simulation and Computation 40:2, pages 247-257.
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Hao Peng, Qianmei Feng & DavidW. Coit. (2010) Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes. IIE Transactions 43:1, pages 12-22.
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JeffreyP. Kharoufeh, ChristopherJ. Solo & M. Yasin Ulukus. (2010) Semi-Markov models for degradation-based reliability. IIE Transactions 42:8, pages 599-612.
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Mohammed Al-Haj Ebrahem, Omar Eidous & Gharam Kmail. (2009) Estimating Percentiles of Time-to-Failure Distribution Obtained from a Linear Degradation Model Using Kernel Density Method. Communications in Statistics - Simulation and Computation 38:9, pages 1811-1822.
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Santanu Chakraborty, Nagi Gebraeel, Mark Lawley & Hong Wan. (2009) Residual-life estimation for components with non-symmetric priors. IIE Transactions 41:4, pages 372-387.
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AlaaH. Elwany & NagiZ. Gebraeel. (2008) Sensor-driven prognostic models for equipment replacement and spare parts inventory. IIE Transactions 40:7, pages 629-639.
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J. Wesley Hines & Alexander Usynin. (2008) Current Computational Trends in Equipment Prognostics. International Journal of Computational Intelligence Systems 1:1, pages 94-102.
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Myong K. Jeong, Jye-Chyi Lu, Weixin Zhou & Sujit K. Ghosh. (2007) Data-reduction method for spatial data using a structured wavelet model. International Journal of Production Research 45:10, pages 2295-2311.
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Hong-Fwu Yu. (2007) OPTIMAL SELECTION OF THE MOST RELIABLE DESIGN WITH A RECIPROCAL WEIBULL DEGRADATION RATE. Journal of the Chinese Institute of Industrial Engineers 24:1, pages 60-69.
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Suk Joo Bae & PaulH. Kvam. (2006) A change-point analysis for modeling incomplete burn-in for light displays. IIE Transactions 38:6, pages 489-498.
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Hong-Fwu Yu & Wen-Ching Yu. (2006) OPTIMAL CLASSIFICATION OF HIGHLY RELIABLE PRODUCTS WITH A LINEARIZED DEGRADATION MODEL. Journal of the Chinese Institute of Industrial Engineers 23:5, pages 382-392.
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Michael Hamada. (2005) Using Degradation Data to Assess Reliability. Quality Engineering 17:4, pages 615-620.
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Vilijandas Bagdonavičius, Firoozeh Haghighi & Mikhail Nikulin. (2005) Statistical Analysis of General Degradation Path Model and Failure Time Data with Multiple Failure Modes. Communications in Statistics - Theory and Methods 34:8, pages 1771-1791.
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NAGIZ. GEBRAEEL, MARKA. LAWLEY, RONG LI & JENNIFERK. RYAN. (2005) Residual-life distributions from component degradation signals: A Bayesian approach. IIE Transactions 37:6, pages 543-557.
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JEFFREYP. KHAROUFEH & STEVENM. COX. (2005) Stochastic models for degradation-based reliability. IIE Transactions 37:6, pages 533-542.
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Ratna Babu Chinnam & Pankaj Mohan. (2002) Online Reliability Estimation of Physical Systems Using Neural Networks and Wavelets. International Journal of Smart Engineering System Design 4:4, pages 253-264.
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Hong-Fwu Yu. (2002) Optimal selection of the most reliable product with degradation data. Engineering Optimization 34:6, pages 579-590.
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Chuanhai Liu & DonX. Sun. (2000) Analysis of Interval-Censored Data From Fractionated Experiments Using Covariance Adjustment. Technometrics 42:4, pages 353-365.
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José Ramírez & Winson Taam. (2000) An Autologistic Model for Integrated Circuit Manufacturing. Journal of Quality Technology 32:3, pages 254-262.
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L.I. Pettit & K.D.S. Young. (1999) Bayesian analysis for inverse gaussian lifetime data with measures of degradation. Journal of Statistical Computation and Simulation 63:3, pages 217-234.
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WilliamQ. Meeker, LuisA. Escobar & C. Joseph Lu. (1998) Accelerated Degradation Tests: Modeling and Analysis. Technometrics 40:2, pages 89-99.
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Jye-Chyi Lu, Jinho Park & Qing Yang. (1997) Statistical Inference of a Time-to-Failure Distribution Derived From Linear Degradation Data. Technometrics 39:4, pages 391-400.
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RobertE. Chapman. (1997) DEGRADATION STUDY OF A PHOTOGRAPHIC DEVELOPER TO DETERMINE SHELF LIFE. Quality Engineering 10:1, pages 137-140.
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Gary S. Wasserman. (1996) A Modeling Framework for Relating Robustness Measures with Reliability. Quality Engineering 8:4, pages 681-692.
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Abdellatif M. Yacout, Stefano Salvatores & Yuri Orechwa. (1996) Degradation Analysis Estimates of the Time-to-Failure Distribution of Irradiated Fuel Elements. Nuclear Technology 113:2, pages 177-189.
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ErkkiP. Liski & Tapio Nummi. (1996) Prediction in Repeated-Measures Models With Engineering Applications. Technometrics 38:1, pages 25-36.
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Sheng-Tsaing Tseng, Michael Hamada & Chih-Hua Chiao. (1995) Using Degradation Data to Improve Fluorescent Lamp Reliability. Journal of Quality Technology 27:4, pages 363-369.
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Michéle Boulanger & LuisA. Escobar. (1994) Experimental Design for a Class of Accelerated Degradation Tests. Technometrics 36:3, pages 260-272.
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