가속화 수명 실험에서의 비모수적 추론

Nonparametric Inference for Accelerated Life Testing

  • 발행 : 2004.12.01

초록

Several statistical methods are introduced 1=o analyze the accelerated failure time data. Most frequently used method is the log-linear approach with parametric assumption. Since the accelerated failure time experiments are exposed to many environmental restrictions, parametric log-linear relationship might not be working properly to analyze the resulting data. The models proposed by Buckley and James(1979) and Stute(1993) could be useful in the situation where parametric log-linear method could not be applicable. Those methods are introduced in accelerated experimental situation under the thermal acceleration and discussed through an illustrated example.

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참고문헌

  1. Buckley, J. and James, I.(1979). Linear regression with censored data. Biometrika, 66, 429-436 https://doi.org/10.1093/biomet/66.3.429
  2. Chatterjee, S. and McLeish, D.L. (1986). Fitting linear regression models to censored data by least squares and maximum likelihood methods. Communications in Statistics, Theory and Method, 15, 3227-3247 https://doi.org/10.1080/03610928608829305
  3. Cox, D.R.(1972). Regression models and life-tables. Journal of the Royal Statistical Society, Series B, 34, 187-220
  4. Cox, D.R.(1975). Partial likelihood. Biometrika, 62, 269-276 https://doi.org/10.1093/biomet/62.2.269
  5. Cox, D.R. and Oakes, D.(1984). Analysis of Survival Data. Chapman & Hall, London
  6. Hahn, G. and Schmee, J.(1979). A simple method for regression analysis with censored data. Technometrics 21, 417-432 https://doi.org/10.2307/1268280
  7. Kaplan, E.L. and Meier, P.(1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association, 53, 457-481 https://doi.org/10.2307/2281868
  8. Lai, T.L. and Ying, Z.Y. (1991). Large sample theory of a modified Buckley-James estimator for regression analysis with censored data. The Annals of Statistics, 19, 1370-1402 https://doi.org/10.1214/aos/1176348253
  9. Miller, R.(1976). Least squares regression with censored data. Biometrika, 63, 449-64 https://doi.org/10.1093/biomet/63.3.449
  10. Nelson, W.(1990). Accelerated Testing : Statistical Models, Test Plan, and Data Analyses. New York, John Wiley & Sons
  11. Nelson, W. and Hahn, (1972) Linear Estimation of a regression relationship from censored data. Part I-Simple Methods and Their Application. Technometrics, 14, 247-269 https://doi.org/10.2307/1267418
  12. Nelson, W. and Hahn, (1973) Linear Estimation of a regression relationship from censored data. Part II-Best Linear Unbiased Estimation and Theory. Technometrics, 15, 133-150 https://doi.org/10.2307/1266831
  13. Orbe, J., Ferreira, E. and Nunez-Anton, V.(2002). Comparing proportional hazards and accelerated failure time models for survival analysis. Statistics in Medicine, 21, 3493-3510 https://doi.org/10.1002/sim.1251
  14. Stute, W.(1993). Consistent estimation under random censorship when covariables are present. Journal of Multivariate Analysis, 45, 89-103 https://doi.org/10.1006/jmva.1993.1028
  15. Weissfeld, L.A. and Schneider, H.(1986). Inference based on the Buckley-James procedure. Communication in statistics. Theory and Methods. 15, 1773-1787 https://doi.org/10.1080/03610928608829218