응용통계연구 (The Korean Journal of Applied Statistics)

  • 제11권1호
  • /
  • Pages.53-64
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  • 1998
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  • 1225-066X(pISSN)
  • /
  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

수리 가능한 시스템의 평균고장간격시간에 대한 붓스트랩 신뢰구간

Boostrap confidence interval for mean time between failures of a repairable system

  • 김대경 (9560-756) 전북 전주시 덕진구 덕진동 1가 661-14, 전북대학교 자연과학대학 통계학과 시간강사) ;
  • 안미경 ((200-702) 강원도 춘천시 옥천동 1가, 한림대학교 자연과학대학 통계학과) ;
  • 박동호 ((200-702) 강원도 춘천시 옥천동 1가, 한림대학교 자연과학대학 통계학과)
  • 발행 : 1998.03.01
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초록

수리 가능한 시스템에 대한 고장시간을 표현하는 여러가지 형태의 통계적 모형이 최근 엔지니어들과 신뢰성분야 학자들의 많은 관심을 끌고 있다. 본 논문에서는 수리가능한 시스템의 신뢰성 증가를 나타내는데 유용하게 적용되는 power law process를 고려하고 특히 정시중단자료(time truncated data)인 경우 고장간격에 대한 신뢰구간을 붓스트랩 기법을 이용하여 구하고 이것을 Crow(1982)가 구한 기존의 신뢰구간과 비교 분석하였다.

Recently, it is of great interest among engineers and reliability scientists to consider a statistical model to describe the failure times of various types of repairable systems. The main subject we deal with in this paper is the power law process which is proved to be a useful model to describe the reliability growth of the repairable system. In particular, we derive the bootstrap confidence intervals of the mean time between two successive failures of a repairable system using the time truncated data. We also compare our bootstrap confindence intervals with Crow's (1982) confidence interval.

키워드

참고문헌

  1. IEEE Transactions on Realiability Weibull Distribution vs. Weibull Process Ascher, H.
  2. Repairable System Reliability Ascher, H.;Feingold, H.
  3. Technometrics v.22 Inferences on the Parameters and Current System Reliability for a Time Truncated Weibull Process Bain, L. J.;Engellhardt, M.
  4. IEEE Transactions on Reliability Increasing Hazard Functions and Overhaul Policy Bassin, W. M.
  5. Reliability Analysis for Complex Repairable Systems, Reliability and Biometry Crow, L.H.;F. Proschan(ed.);R. J. Serfing(ed.)
  6. ARO Report v.75-2 Tracking Reliability Growth, Proceedings of the Twentieth Conference on the Design of Experiments Crow, L. H.
  7. Army Material Systems Analysis Activity Technical Report 197 Confidence Interval Procedures for Reliability Growth Analysis Crow, L. H.
  8. Technometrics v.24 Confidence Interval Procedures for the Weibull Process Crow, L. H.
  9. IEEE Transactions on Reliability v.2 Learning Curve Approach to Reliability Monitoring Duane, J. T.
  10. Annals of Statistics v.7 Bootstrap Methods : Another Look at the Jacknife Efron, B.
  11. American Statistician v.37 A Leisurely Look at the Bootstrap, the Jacknife, and Crossvalidation Efron, B.;Gong, G.
  12. Statistical Science v.1 Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy Efron, B.;Gong, G.
  13. Technometrics v.18 Confidence Bounds on the Parameters of the Weibull Process Finkelstein, J. M.
  14. Communication in Statistics; Simulation and Computation v.20 Bootstrap Confidence Interval Estimates of C : An Introduction Franklin,L.A;Wasserman,G.
  15. Simulation and Computation v.20 Bootstrap Confidence Interval Estimates of $C_{pk}$ : An Introduction, Communications in Statistics Franklin, L. A.;Wasserman, G.
  16. Journal of Quality Technology v.24 Bootstrap Lower Confidence Limits for Capability Indices Franklin, L. A.;Wasserman, G.
  17. Annals of Statistics v.16 Theoretical Comparison of Bootstrap Confidence Intervals Hall, P.
  18. Journal of American Statistical Associations v.69 Properties of the Generalized Incomplete Modified Bessel Distribution with Applications to Reliability Theory Harris, B.;Som, A. P.
  19. Technometrics v.20 Some Results on Inferences for the Weibull Process Lee, L.;Lee, S. K.
  20. IEEE Transactions on Reliability v.41 Goodness-of-Fit Tests for the Power-Law Process Park, W. J.;Kim, Y. G.
  21. Journal of Quality Technology v.21 The Power Law Process: A Model for the Reliability of Repairable Systems Rigdon, S. E.;Basu, A. P.