위험률의 변화점모형에 대한 추론

  • Published : 1998.08.01

Abstract

위험률 변화점모형에 대해 변화점의 최우추정을 고려하였다. 추정량의 점근분포 및 붓스트랩 분포의 성질을 알아보고 변화점의 신뢰구간을 제안한다. 변화점의 위치 및 변화점을 전후하여 위험률의 값에 따라 모의실험을 수행하고 포함확률을 조사하였다. 추정량의 점근분포가 매우 복잡하기 때문에 이를 직접 이용한 변화점의 통계적 추론이 매우 어려운 점을 감안할 때 제안된 방법은 바람직한 대안이 될 수 있다.

Keywords

References

  1. Nonparametric Statistics v.3 Nonparametric Estimation in Change-Point Hazard Rate Models for Censored Data: A Counting Process Approach Antoniadis, A.;Gregoire, G.
  2. Annals of Mathematical Statistics v.39 Nonparametric Tests for Shift at Unknown Time Point Bhattacharyya, G. K.;Johnson, R. A.
  3. Institute of Mathematical Statistics, Lecture Notes 23 Estimation in Change-Point Hazard Rate Models With Random Censorship, Change-Point Problems Chang, I. S.;Chen, C. H.;Hsiung, C. A.
  4. Annals of Mathematical Statistics v.35 Estimating the Current Mean of a Normal Distribution Which is Subject to Changes in Time Chernoff, H.;Zacks, S.
  5. Proc. 3rd Berkeley Synposium, Math. Statist. Prob. v.1 The Estimation of the Location of a Discontinuity in Density Chernoff, H.;Rubin, H.
  6. Journal of the American Statistical Association v.76 Censored Data and the Bootstrap Efron, B.
  7. Biometrika v.57 no.1 Inference About the Change-Point in a Sequence of Random Variables Hinkley, D. V.
  8. Biometrika v.78 no.4 Inference for a Hazard Rate Change Point Loader, C. R.
  9. Biometrika v.38 On Testing for a Constant Hazard Against a Change-Point Alternative Matthews, D. E.;Farewell, V. T.
  10. Biometrika v.72 no.3 On a Singularity in the Likelihood for a Change-Point Hazard rate Model Matthews, D. E.;Farewell, V. T.
  11. Biometrika v.77 no.2 Nonparametric Analysis of Changes in Hazard Rates for Censored Survival Data: An Alternative to Change-Point Models Muller, H. G.;Wang, J. L.
  12. Biometrika v.71 no.2 Estimation in Change-Point Hazard Rate Models Nguyen, H. T.;Rogers, G. S.;Walker, E. A.
  13. Biometrika v.41 Continuous Inspection Schemes Page, E. S.
  14. Applied Statistics v.28 A Non-parametric Approach to the Change-Point Problem Pettitt, A. N.
  15. Statisticis v.21 no.2 Strong Consistency of the Maximum Likelihood Estimates in the Change-Point Hazard Rate Model Pham, T. D.;Nguyen, H. T.
  16. Technical Report URA 397, Laboratoire de Modelisation at Calcul, IMAG, Universite Joseph Fourier Grenoble Bootstrapping the Change-Point of a Hazard Rate Pham, T. D.;Nguyen, H. T.
  17. International Statistical Review v.56 no.1 Confidence Sets in Change-Point Problems Siegmund, D.
  18. Biometrics v.4 Exact Percentage Points of the Likelihood-Ratio Test for a Change-Point Hazard Rate Model Worsley, K. J.
  19. Communications in Statistics, Theory and Methods v.15 no.8 Maximum Likelihood Estimation in Hazard Rate Models with a Change-Point Yao, Yi-Ching