An application of nonprarametric Cox regression model in reliability analysis: a case study

Petr Volf

Kybernetika (2004)

  • Volume: 40, Issue: 5, page [639]-648
  • ISSN: 0023-5954

Abstract

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The contribution deals with an application of the nonparametric version of Cox regression model to the analysis and modeling of the failure rate of technical devices. The objective is to recall the method of statistical analysis of such a model, to adapt it to the real–case study, and in such a way to demonstrate the flexibility of the Cox model. The goodness-of-fit of the model is tested, too, with the aid of the graphical test procedure based on generalized residuals.

How to cite

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Volf, Petr. "An application of nonprarametric Cox regression model in reliability analysis: a case study." Kybernetika 40.5 (2004): [639]-648. <http://eudml.org/doc/33725>.

@article{Volf2004,
abstract = {The contribution deals with an application of the nonparametric version of Cox regression model to the analysis and modeling of the failure rate of technical devices. The objective is to recall the method of statistical analysis of such a model, to adapt it to the real–case study, and in such a way to demonstrate the flexibility of the Cox model. The goodness-of-fit of the model is tested, too, with the aid of the graphical test procedure based on generalized residuals.},
author = {Volf, Petr},
journal = {Kybernetika},
keywords = {hazard rate; counting process; Cox model; nonparametric regression; local likelihood; time-to-failure; hazard rate; counting process; nonparametric regression; local likelihood; time to failure},
language = {eng},
number = {5},
pages = {[639]-648},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An application of nonprarametric Cox regression model in reliability analysis: a case study},
url = {http://eudml.org/doc/33725},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Volf, Petr
TI - An application of nonprarametric Cox regression model in reliability analysis: a case study
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 5
SP - [639]
EP - 648
AB - The contribution deals with an application of the nonparametric version of Cox regression model to the analysis and modeling of the failure rate of technical devices. The objective is to recall the method of statistical analysis of such a model, to adapt it to the real–case study, and in such a way to demonstrate the flexibility of the Cox model. The goodness-of-fit of the model is tested, too, with the aid of the graphical test procedure based on generalized residuals.
LA - eng
KW - hazard rate; counting process; Cox model; nonparametric regression; local likelihood; time-to-failure; hazard rate; counting process; nonparametric regression; local likelihood; time to failure
UR - http://eudml.org/doc/33725
ER -

References

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  1. Andersen P. K., Borgan O., Gill R. D., Keiding N., Statistical Models Based on Counting Processes, Springer, New York 1993 Zbl0824.60003MR1198884
  2. Arjas E., 10.1080/01621459.1988.10478588, J. Amer. Statist. Assoc. 83 (1988), 204–212 (1988) DOI10.1080/01621459.1988.10478588
  3. Arjas E., Liu L., Assessing the losses caused by an industrial intervention – a hiearchical Bayesian approach, J. Roy. Statist. Soc. Ser. C 44 (1995), 357–368 (1995) 
  4. Fan J., Gijbels I., Local Polynomial Modelling and Its Applications, Chapman and Hall, London 1996 Zbl0873.62037MR1383587
  5. Gentleman R., Crowley J., 10.2307/2532386, Biometrics 47 (1991), 1283–1296 (1991) MR1157661DOI10.2307/2532386
  6. Hastie T., Tibshirani R., Generalized Additive Models, Chapman and Hall, London 1990 Zbl0747.62061MR1082147
  7. Kalbfleisch J. D., Struthers C. A., 10.2307/3556191, In: Case Studies in Data Analysis, Canad. J. Statist. 10 (1982), 237–259 (1982) DOI10.2307/3556191
  8. Kooperberg C., Stone C. J., Truong Y. K., The L 2 rate of convergence for hazard regression, Scand. J. Statist. 22 (1995), 143–157 (1995) MR1339748
  9. Marzec L., Marzec P., 10.1214/aos/1031833669, Ann. Statist. 25 (1997), 683–714 (1997) MR1439319DOI10.1214/aos/1031833669
  10. O’Sullivan F., 10.1214/aos/1176349018, Ann. Statist. 21 (1993), 124–145 (1993) Zbl0782.62046MR1212169DOI10.1214/aos/1176349018
  11. Stone C. J., 10.1214/aos/1176325361, Ann. Statist. 22 (1994), 118–184 (1994) Zbl0827.62038MR1272079DOI10.1214/aos/1176325361
  12. Thomas D. C., 10.2307/3556191, In: Case Studies in Data Analysis. Canad. J. Statist. 10 (1982), 237–259 (1982) DOI10.2307/3556191
  13. Volf P., A large sample study of nonparametric proportion hazard regression model, Kybernetika 29 (1993), 404–415 (1993) MR1079678
  14. Volf P., Analysis of generalized residuals in hazard regression models, Kybernetika 32 (1996), 501–510 (1996) Zbl0882.62077MR1420139

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