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Volumn 61, Issue 1, 2012, Pages 50-67

Remaining useful life estimation based on a nonlinear diffusion degradation process

Author keywords

Brownian motion; degradation; diffusion process; first hitting time; maximum likelihood; nonlinear drift; remaining useful life

Indexed keywords

ANALYTICAL APPROXIMATION; CLOSED FORM; CONSTANT THRESHOLD; DEGRADATION PROCESS; DIFFUSION PROCESS; FIRST HITTING TIME; GOODNESS-OF-FIT MEASURE; NON-LINEAR MODEL; NON-LINEARITY; NONLINEAR DIFFUSION; NONLINEAR DRIFTS; PROGNOSTICS AND HEALTH MANAGEMENTS; REMAINING USEFUL LIVES; SAFETY CRITICAL SYSTEMS; THRESHOLD LEVELS; TIME-SPACE; UNKNOWN PARAMETERS; VARIABLE THRESHOLDS;

EID: 84862827161     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2011.2182221     Document Type: Article
Times cited : (585)

References (71)
  • 1
    • 0032093818 scopus 로고    scopus 로고
    • An analysis of product lifetimes in a technologically dynamic industry
    • B. L. Bayus, "An analysis of product lifetimes in a technologically dynamic industry," Management Science, vol. 44, pp. 763-775, 1998.
    • (1998) Management Science , vol.44 , pp. 763-775
    • Bayus, B.L.1
  • 2
    • 34548733647 scopus 로고    scopus 로고
    • Remaining life estimation of used components in consumer products Life cycle data analysis by Weibull and artificial neural networks
    • M. I. Mazhar, S. Kara, and H. Kaebernick, "Remaining life estimation of used components in consumer products Life cycle data analysis by Weibull and artificial neural networks," Journal of Operations Management, vol. 25, pp. 1184-1193, 2007.
    • (2007) Journal of Operations Management , vol.25 , pp. 1184-1193
    • Mazhar, M.I.1    Kara, S.2    Kaebernick, H.3
  • 5
    • 0036508481 scopus 로고    scopus 로고
    • A criterion for burn-in that balances mean residual life and residual variance
    • H. W. Block, T. H. Savits, and H. Singh, "A criterion for burn-in that balances mean residual life and residual variance," Operations Research, vol. 50, pp. 290-296, 2002.
    • (2002) Operations Research , vol.50 , pp. 290-296
    • Block, H.W.1    Savits, T.H.2    Singh, H.3
  • 6
    • 43149118824 scopus 로고    scopus 로고
    • Sensor-driven prognostic models for equipment replacement and spare parts inventory
    • A. H. Elwany and N. Z. Gebraeel, "Sensor-driven prognostic models for equipment replacement and spare parts inventory," IIE Transactions, vol. 40, pp. 629-639, 2008.
    • (2008) IIE Transactions , vol.40 , pp. 629-639
    • Elwany, A.H.1    Gebraeel, N.Z.2
  • 7
    • 78049292686 scopus 로고    scopus 로고
    • A system dynamics modeling approach for a military weapon maintenance supply system
    • C. Y. Fan, P. C. Chang, and P. S. Fan, "A system dynamics modeling approach for a military weapon maintenance supply system," International Journal of Production Economics, vol. 128, no. 2, pp. 457-469, 2010.
    • (2010) International Journal of Production Economics , vol.128 , Issue.2 , pp. 457-469
    • Fan, C.Y.1    Chang, P.C.2    Fan, P.S.3
  • 8
    • 67649984306 scopus 로고    scopus 로고
    • Asymptotic optimality of order-up-to policies in lost sales inventory systems
    • W. T. Huh, G. Janakiraman, J. A. Muckstadt, and P. Rusmevichientong, "Asymptotic optimality of order-up-to policies in lost sales inventory systems," Management Science, vol. 55, no. 3, pp. 404-420, 2009.
    • (2009) Management Science , vol.55 , Issue.3 , pp. 404-420
    • Huh, W.T.1    Janakiraman, G.2    Muckstadt, J.A.3    Rusmevichientong, P.4
  • 9
    • 33646534620 scopus 로고    scopus 로고
    • A review on machinery diagnostics and prognostics implementing condition-based maintenance
    • A. K. S. Jardine, D. Lin, and D. Banjevic, "A review on machinery diagnostics and prognostics implementing condition-based maintenance," Mechanical Systems and Signal Processing, vol. 20, no. 7, pp. 1483-1510, 2006.
    • (2006) Mechanical Systems and Signal Processing , vol.20 , Issue.7 , pp. 1483-1510
    • Jardine, A.K.S.1    Lin, D.2    Banjevic, D.3
  • 11
    • 33646342992 scopus 로고    scopus 로고
    • On the value of mitigation and contingency strategies for managing supply chain disruption risks
    • B. Tomlin, "On the value of mitigation and contingency strategies for managing supply chain disruption risks," Management Science, vol. 52, no. 5, pp. 639-657, 2006.
    • (2006) Management Science , vol.52 , Issue.5 , pp. 639-657
    • Tomlin, B.1
  • 12
    • 34248343774 scopus 로고    scopus 로고
    • A two-stage prognosis model in condition based maintenance
    • W. Wang, "A two-stage prognosis model in condition based maintenance," European Journal of Operational Research, vol. 182, pp. 1177-1187, 2007.
    • (2007) European Journal of Operational Research , vol.182 , pp. 1177-1187
    • Wang, W.1
  • 13
    • 61449259033 scopus 로고    scopus 로고
    • Assessing dynamic breast cancer screening policies
    • L. M. Maillart, J. S. Ivy, S. Ransom, and K. Diehl, "Assessing dynamic breast cancer screening policies," Operations Research, vol. 56, pp. 1411-1427, 2008.
    • (2008) Operations Research , vol.56 , pp. 1411-1427
    • Maillart, L.M.1    Ivy, J.S.2    Ransom, S.3    Diehl, K.4
  • 14
    • 3142577534 scopus 로고    scopus 로고
    • Prognosis using an isotonic prediction technique
    • Y. U. Ryu, R. Chandrasekaran, and V. Jacob, "Prognosis using an isotonic prediction technique," Management Science, vol. 50, pp. 777-785, 2004.
    • (2004) Management Science , vol.50 , pp. 777-785
    • Ryu, Y.U.1    Chandrasekaran, R.2    Jacob, V.3
  • 15
    • 0021435012 scopus 로고
    • On the use of replacements to extend system life
    • C. Derman, G. J. Lieberman, and S. M. Ross, "On the use of replacements to extend system life," Operations Research, vol. 32, pp. 616-627, 1984.
    • (1984) Operations Research , vol.32 , pp. 616-627
    • Derman, C.1    Lieberman, G.J.2    Ross, S.M.3
  • 16
    • 0023454202 scopus 로고
    • Variate generation for accelerated life and proportional hazards models
    • L. M. Leemis, "Variate generation for accelerated life and proportional hazards models," Operations Research, vol. 35, pp. 892-894, 1987.
    • (1987) Operations Research , vol.35 , pp. 892-894
    • Leemis, L.M.1
  • 17
    • 70349249287 scopus 로고    scopus 로고
    • A model for upside-down bathtubshaped mean residual life and its properties
    • Y. Shen, L. C. Tang, and M. Xie, "A model for upside-down bathtubshaped mean residual life and its properties," IEEE Trans. Rel., vol. 58, no. 3, pp. 425-431, 2009.
    • (2009) IEEE Trans. Rel. , vol.58 , Issue.3 , pp. 425-431
    • Shen, Y.1    Tang, L.C.2    Xie, M.3
  • 18
    • 15544374567 scopus 로고    scopus 로고
    • Lifetime distribution based degradation analysis
    • Z. Chen and S. Zheng, "Lifetime distribution based degradation analysis," IEEE Trans. Rel., vol. 54, pp. 3-10, 2005.
    • (2005) IEEE Trans. Rel. , vol.54 , pp. 3-10
    • Chen, Z.1    Zheng, S.2
  • 19
    • 34249330622 scopus 로고    scopus 로고
    • A review of accelerated test models
    • L. A. Escobar and W. Q. Meeker, "A review of accelerated test models," Statistical Science, vol. 21, no. 4, pp. 552-577, 2006.
    • (2006) Statistical Science , vol.21 , Issue.4 , pp. 552-577
    • Escobar, L.A.1    Meeker, W.Q.2
  • 20
    • 57749091877 scopus 로고    scopus 로고
    • Prognostic degradation models for computing and updating residual life distributions in a time-varying environment
    • N. Gebraeel and J. Pan, "Prognostic degradation models for computing and updating residual life distributions in a time-varying environment," IEEE Trans. Rel., vol. 57, no. 4, pp. 539-550, 2008.
    • (2008) IEEE Trans. Rel. , vol.57 , Issue.4 , pp. 539-550
    • Gebraeel, N.1    Pan, J.2
  • 21
    • 0027595086 scopus 로고
    • Using degradation measures to estimate a time-to-failure distribution
    • C. J. Lu and W. Q. Meeker, "Using degradation measures to estimate a time-to-failure distribution," Technometrics, vol. 35, no. 2, pp. 161-174, 1993.
    • (1993) Technometrics , vol.35 , Issue.2 , pp. 161-174
    • Lu, C.J.1    Meeker, W.Q.2
  • 23
    • 77955327492 scopus 로고    scopus 로고
    • An inverse Gaussian process model for degradation data
    • X.Wang and D. Xu, "An inverse Gaussian process model for degradation data," Technometrics, vol. 52, no. 2, pp. 188-197, 2010.
    • (2010) Technometrics , vol.52 , Issue.2 , pp. 188-197
    • Wang, X.1    Xu, D.2
  • 24
    • 84972500509 scopus 로고
    • Survival in dynamic environments
    • N. D. Singpurwalla, "Survival in dynamic environments," Statistical Science, vol. 10, no. 1, pp. 86-103, 1995.
    • (1995) Statistical Science , vol.10 , Issue.1 , pp. 86-103
    • Singpurwalla, N.D.1
  • 25
    • 0033255447 scopus 로고    scopus 로고
    • Some remarks on failure-times, surrogate markers, degradation, wear, and the quality of life
    • D. R. Cox, "Some remarks on failure-times, surrogate markers, degradation, wear, and the quality of life," Lifetime Data Analysis, vol. 5, pp. 307-314, 1999.
    • (1999) Lifetime Data Analysis , vol.5 , pp. 307-314
    • Cox, D.R.1
  • 26
    • 0038447790 scopus 로고    scopus 로고
    • Understanding the shape of the hazard rate: A process point of view (with discussion)
    • O. O. Aalen and H. K. Gjessing, "Understanding the shape of the hazard rate: A process point of view (with discussion)," Statistical Science, vol. 16, no. 1, pp. 1-22, 2001.
    • (2001) Statistical Science , vol.16 , Issue.1 , pp. 1-22
    • Aalen, O.O.1    Gjessing, H.K.2
  • 27
    • 34249306163 scopus 로고    scopus 로고
    • Threshold regression for survival analysis: Modeling event times by a stochastic process reaching a boundary
    • M.-L. T. Lee and G. A. Whitmore, "Threshold regression for survival analysis: Modeling event times by a stochastic process reaching a boundary," Statistical Science, vol. 21, no. 4, pp. 501-513, 2006.
    • (2006) Statistical Science , vol.21 , Issue.4 , pp. 501-513
    • Lee, M.-L.T.1    Whitmore, G.A.2
  • 29
    • 84862822655 scopus 로고    scopus 로고
    • Two-dimensional diffusion processes as models in lifetime studies
    • 10.1080/00207721.2011.563870
    • M. Lefebvre and D. A. Aoudia, "Two-dimensional diffusion processes as models in lifetime studies," International Journal of Systems Science, 2011, 10.1080/00207721.2011.563870.
    • (2011) International Journal of Systems Science
    • Lefebvre, M.1    Aoudia, D.A.2
  • 30
    • 84946266777 scopus 로고
    • The inverse Gaussian distribution as a lifetime model
    • R. S. Chhikara and J. L. Folks, "The inverse Gaussian distribution as a lifetime model," Technometrics, vol. 19, no. 4, pp. 461-468, 1977.
    • (1977) Technometrics , vol.19 , Issue.4 , pp. 461-468
    • Chhikara, R.S.1    Folks, J.L.2
  • 31
    • 19044395347 scopus 로고    scopus 로고
    • Residual-life distributions from component degradation signals: A Bayesian approach
    • N. Gebraeel, M. A. Lawley, R. Li, and J. K. Ryan, "Residual-life distributions from component degradation signals: A Bayesian approach," IIE Transaction, vol. 37, pp. 543-557, 2005.
    • (2005) IIE Transaction , vol.37 , pp. 543-557
    • Gebraeel, N.1    Lawley, M.A.2    Li, R.3    Ryan, J.K.4
  • 32
    • 27844522713 scopus 로고    scopus 로고
    • Accelerated degradation models for failure based on geometric Brownian motion and gamma processes
    • C. Park and W. J. Padgett, "Accelerated degradation models for failure based on geometric Brownian motion and gamma processes," Lifetime Data Analysis, vol. 11, no. 4, pp. 511-527, 2005.
    • (2005) Lifetime Data Analysis , vol.11 , Issue.4 , pp. 511-527
    • Park, C.1    Padgett, W.J.2
  • 33
    • 0026818056 scopus 로고
    • Models for variable-stress accelerated life testing experiments based onWiener processes and the inverse Gaussian distribution
    • K. A. Doksum and A. Hoyland, "Models for variable-stress accelerated life testing experiments based onWiener processes and the inverse Gaussian distribution," Technometrics, vol. 34, no. 1, pp. 74-82, 1992.
    • (1992) Technometrics , vol.34 , Issue.1 , pp. 74-82
    • Doksum, K.A.1    Hoyland, A.2
  • 34
    • 70449521463 scopus 로고    scopus 로고
    • Wiener processes with
    • random effects for degradation data
    • X.Wang, "Wiener processes with random effects for degradation data," Journal of Multivariate Analysis, vol. 101, no. 2, pp. 340-351, 2010.
    • (2010) Journal of Multivariate Analysis , vol.101 , Issue.2 , pp. 340-351
    • Wang, X.1
  • 35
    • 0030626145 scopus 로고    scopus 로고
    • Modeling accelerated degradation data using Wiener diffusion with a time scale transformation
    • G. A. Whitmore and F. Schenkelberg, "Modeling accelerated degradation data using Wiener diffusion with a time scale transformation," Lifetime Data Analysis, vol. 3, pp. 27-45, 1997.
    • (1997) Lifetime Data Analysis , vol.3 , pp. 27-45
    • Whitmore, G.A.1    Schenkelberg, F.2
  • 37
    • 78651253631 scopus 로고    scopus 로고
    • The first passage time problem for Gauss-diffusion processes: Algorithmic approaches and applications to LIF neuronal model
    • A. Buonocore, L. Caputo, E. Pirpzzi, and L. M. Ricciardi, "The first passage time problem for Gauss-diffusion processes: Algorithmic approaches and applications to LIF neuronal model," Methodology and Computing in Applied Probability, vol. 13, no. 1, pp. 29-57, 2011.
    • (2011) Methodology and Computing in Applied Probability , vol.13 , Issue.1 , pp. 29-57
    • Buonocore, A.1    Caputo, L.2    Pirpzzi, E.3    Ricciardi, L.M.4
  • 39
    • 0035360022 scopus 로고    scopus 로고
    • A computational approach to first-passage-time problems for Gauss-Markov processes
    • E. D. Nardo, A. G. Nobile, E. Pirozzi, and L. M. Ricciardi, "A computational approach to first-passage-time problems for Gauss-Markov processes," Advanced Applied Probability, vol. 33, pp. 453-482, 2001.
    • (2001) Advanced Applied Probability , vol.33 , pp. 453-482
    • Nardo, E.D.1    Nobile, A.G.2    Pirozzi, E.3    Ricciardi, L.M.4
  • 40
    • 0016941744 scopus 로고
    • On the transformation of diffusion processes into the Wiener process
    • L. M. Ricciardi, "On the transformation of diffusion processes into the Wiener process," Journal of Mathematical Analysis and Applications, vol. 54, pp. 185-199, 1976.
    • (1976) Journal of Mathematical Analysis and Applications , vol.54 , pp. 185-199
    • Ricciardi, L.M.1
  • 41
    • 58049190180 scopus 로고    scopus 로고
    • Rotating machinery prognostics: State of the art, challenges and opportunities
    • A. Heng, S. Zhang, C. C. Tan, and J. Mathew, "Rotating machinery prognostics: State of the art, challenges and opportunities," Mechanical Systems and Signal Processing, vol. 23, pp. 724-739, 2009.
    • (2009) Mechanical Systems and Signal Processing , vol.23 , pp. 724-739
    • Heng, A.1    Zhang, S.2    Tan, C.C.3    Mathew, J.4
  • 42
    • 79955584653 scopus 로고    scopus 로고
    • Remaining useful life estimation-A review on the statistical data driven approaches
    • X. S. Si, W. Wang, C. H. Hu, and D. H. Zhou, "Remaining useful life estimation-A review on the statistical data driven approaches," European Journal of Operational Research, vol. 213, no. 1, pp. 1-14, 2011.
    • (2011) European Journal of Operational Research , vol.213 , Issue.1 , pp. 1-14
    • Si, X.S.1    Wang, W.2    Hu, C.H.3    Zhou, D.H.4
  • 43
    • 0042259208 scopus 로고
    • A general result on infinite divisibility
    • L. Bondesson, "A general result on infinite divisibility," The Annals of Probability, vol. 7, no. 6, pp. 965-979, 1979.
    • (1979) The Annals of Probability , vol.7 , Issue.6 , pp. 965-979
    • Bondesson, L.1
  • 44
    • 0037314494 scopus 로고    scopus 로고
    • Determination of optimal burn-in parameters and residual life for highly reliable products
    • S. T. Tseng, J. Tang, and L. H. Ku, "Determination of optimal burn-in parameters and residual life for highly reliable products," Naval Research Logistics, vol. 50, pp. 1-14, 2003.
    • (2003) Naval Research Logistics , vol.50 , pp. 1-14
    • Tseng, S.T.1    Tang, J.2    Ku, L.H.3
  • 45
    • 8344242189 scopus 로고    scopus 로고
    • Optimal burn-in policy by using an integrated Wiener process
    • S. T. Tseng and C. Y. Peng, "Optimal burn-in policy by using an integrated Wiener process," IIE Transactions, vol. 36, pp. 1161-1170, 2004.
    • (2004) IIE Transactions , vol.36 , pp. 1161-1170
    • Tseng, S.T.1    Peng, C.Y.2
  • 46
    • 36249016372 scopus 로고    scopus 로고
    • A modified EM-algorithm for estimating the parameters of inverse Gaussian distribution based on time-censored Wiener degradation data
    • M. Y. Lee and J. Tang, "A modified EM-algorithm for estimating the parameters of inverse Gaussian distribution based on time-censored Wiener degradation data," Statistica Sinica, vol. 17, pp. 873-893, 2007.
    • (2007) Statistica Sinica , vol.17 , pp. 873-893
    • Lee, M.Y.1    Tang, J.2
  • 47
    • 42249108171 scopus 로고    scopus 로고
    • Estimating failure time distribution and its parameters based on intermediate data from a Wiener degradation model
    • J. Tang and T. S. Su, "Estimating failure time distribution and its parameters based on intermediate data from a Wiener degradation model," Naval Logistic Research, vol. 55, pp. 265-276, 2008.
    • (2008) Naval Logistic Research , vol.55 , pp. 265-276
    • Tang, J.1    Su, T.S.2
  • 48
    • 3042808870 scopus 로고    scopus 로고
    • Inference from accelerated degradation and failure data based on Gaussian process models
    • W. J. Padgett and M. A. Tomlinson, "Inference from accelerated degradation and failure data based on Gaussian process models," Lifetime Data Analysis, vol. 10, pp. 191-206, 2004.
    • (2004) Lifetime Data Analysis , vol.10 , pp. 191-206
    • Padgett, W.J.1    Tomlinson, M.A.2
  • 49
    • 27844481613 scopus 로고    scopus 로고
    • New cumulative damage models for failure using stochastic processes as initial damage
    • C. Park and W. J. Padgett, "New cumulative damage models for failure using stochastic processes as initial damage," IEEE Trans. Rel., vol. 54, no. 3, pp. 530-540, 2005.
    • (2005) IEEE Trans. Rel. , vol.54 , Issue.3 , pp. 530-540
    • Park, C.1    Padgett, W.J.2
  • 50
    • 33745215142 scopus 로고    scopus 로고
    • Stochastic degradation models with several accelerating variables
    • C. Park and W. J. Padgett, "Stochastic degradation models with several accelerating variables," IEEE Trans. Rel., vol. 55, no. 2, pp. 379-390, 2006.
    • (2006) IEEE Trans. Rel. , vol.55 , Issue.2 , pp. 379-390
    • Park, C.1    Padgett, W.J.2
  • 51
    • 33644931869 scopus 로고    scopus 로고
    • Reliability improvement experiments with degradation data
    • V. R. Joseph and I. T. Yu, "Reliability improvement experiments with degradation data," IEEE Trans. Rel., vol. 55, no. 1, pp. 149-157, 2006.
    • (2006) IEEE Trans. Rel. , vol.55 , Issue.1 , pp. 149-157
    • Joseph, V.R.1    Yu, I.T.2
  • 52
    • 63449109506 scopus 로고    scopus 로고
    • Review and implementation of cure models based on first hitting times for Wiener processes
    • J. Balka, A. F. Desmond, and P. D. McNicholas, "Review and implementation of cure models based on first hitting times for Wiener processes," Lifetime Data Analysis, vol. 15, pp. 147-176, 2009.
    • (2009) Lifetime Data Analysis , vol.15 , pp. 147-176
    • Balka, J.1    Desmond, A.F.2    McNicholas, P.D.3
  • 53
    • 70349247704 scopus 로고    scopus 로고
    • Mis-specification analysis of linear degradation models
    • C. Y. Peng and S. T. Tseng, "Mis-specification analysis of linear degradation models," IEEE Trans. Rel., vol. 58, no. 3, pp. 444-455, 2009.
    • (2009) IEEE Trans. Rel. , vol.58 , Issue.3 , pp. 444-455
    • Peng, C.Y.1    Tseng, S.T.2
  • 54
    • 79551468902 scopus 로고    scopus 로고
    • A model for residual life prediction based on Brownian motion with an adaptive drift
    • W. Wang, M. Carr, W. Xu, and A. K. H. Kobbacy, "A model for residual life prediction based on Brownian motion with an adaptive drift," Microelectronics Reliability, vol. 51, no. 2, pp. 285-293, 2011.
    • (2011) Microelectronics Reliability , vol.51 , Issue.2 , pp. 285-293
    • Wang, W.1    Carr, M.2    Xu, W.3    Kobbacy, A.K.H.4
  • 55
    • 70349265198 scopus 로고    scopus 로고
    • Stochastic diffusion modeling of degradation data
    • S. T. Tseng and C. Y. Peng, "Stochastic diffusion modeling of degradation data," Journal of Data Science, vol. 5, pp. 315-333, 2007.
    • (2007) Journal of Data Science , vol.5 , pp. 315-333
    • Tseng, S.T.1    Peng, C.Y.2
  • 56
    • 80051497487 scopus 로고    scopus 로고
    • A new prediction model based on belief rule base for system's behavior prediction
    • X. S. Si, C. H. Hu, J. B. Yang, and Z. J. Zhou, "A new prediction model based on belief rule base for system's behavior prediction," IEEE Trans. Fuzzy Syst., vol. 19, no. 4, pp. 456-471, 2011.
    • (2011) IEEE Trans. Fuzzy Syst. , vol.19 , Issue.4 , pp. 456-471
    • Si, X.S.1    Hu, C.H.2    Yang, J.B.3    Zhou, Z.J.4
  • 57
    • 58149089233 scopus 로고    scopus 로고
    • Technical report published by the University of Cambridge Computer Laboratory
    • O. J.Woodman, An introduction to inertial navigation Technical report, published by the University of Cambridge Computer Laboratory, 2007
    • (2007) An Introduction to Inertial Navigation
    • Woodman, O.J.1
  • 58
    • 84862797156 scopus 로고    scopus 로고
    • [Online]. Available: Available via the Internet
    • [Online]. Available: http://www.cl.cam.ac.uk/techreport/, available via the Internet:
  • 59
    • 19044385829 scopus 로고    scopus 로고
    • Stochastic models for degradationbased reliability
    • J. P. Kharoufeh and S. M. Cox, "Stochastic models for degradationbased reliability," IIE Transactions, vol. 37, pp. 533-542, 2005.
    • (2005) IIE Transactions , vol.37 , pp. 533-542
    • Kharoufeh, J.P.1    Cox, S.M.2
  • 61
    • 77949262276 scopus 로고    scopus 로고
    • Direct prediction methods on lifetime distribution of organic light-emitting diodes from accelerated degradation tests
    • J. I. Park and S. J. Bae, "Direct prediction methods on lifetime distribution of organic light-emitting diodes from accelerated degradation tests," IEEE Trans. Rel., vol. 59, no. 1, pp. 74-90, 2010.
    • (2010) IEEE Trans. Rel. , vol.59 , Issue.1 , pp. 74-90
    • Park, J.I.1    Bae, S.J.2
  • 64
    • 0022023075 scopus 로고
    • The first-passage density of a continuous Gaussian process to a general boundary
    • J. Durbin, "The first-passage density of a continuous Gaussian process to a general boundary," Journal of Applied Probability, vol. 22, pp. 99-122, 1985.
    • (1985) Journal of Applied Probability , vol.22 , pp. 99-122
    • Durbin, J.1
  • 65
    • 52149121858 scopus 로고    scopus 로고
    • Optimal non-periodic inspection for a multivariate degradation model
    • C. T. Barker and M. J. Newby, "Optimal non-periodic inspection for a multivariate degradation model," Reliability Engineering and System Safety, vol. 94, pp. 33-43, 2009.
    • (2009) Reliability Engineering and System Safety , vol.94 , pp. 33-43
    • Barker, C.T.1    Newby, M.J.2
  • 68
    • 0032251894 scopus 로고    scopus 로고
    • Convergence properties of the nelder-mead simplex method in low dimensions
    • J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, "Convergence properties of the nelder-mead simplex method in low dimensions," SIAM Journal of Optimization, vol. 9, no. 1, pp. 112-147, 1998.
    • (1998) SIAM Journal of Optimization , vol.9 , Issue.1 , pp. 112-147
    • Lagarias, J.C.1    Reeds, J.A.2    Wright, M.H.3    Wright, P.E.4
  • 69
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • H. Akaike, "A new look at the statistical model identification, " IEEE Trans. Autom. Control, vol. 19, no. 6, pp. 716-722, 1974.
    • (1974) IEEE Trans. Autom. Control , vol.19 , Issue.6 , pp. 716-722
    • Akaike, H.1
  • 70
    • 0014254846 scopus 로고
    • Probability plotting methods for the analysis data
    • M. B.Wilk and R. Gnanadesikan, "Probability plotting methods for the analysis data," Biometrika, vol. 55, no. 1, pp. 1-17, 1968.
    • (1968) Biometrika , vol.55 , Issue.1 , pp. 1-17
    • Wilk, M.B.1    Gnanadesikan, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.