Journal of the Korean Data and Information Science Society

  • 제4권
  • /
  • Pages.97-107
  • /
  • 1993
  • /
  • 1598-9402(pISSN)
한국데이터정보과학회 (The Korean Data and Information Science Society)
권호 표지

코히어런트 시스템에서 평균잔여수명함수(平均殘餘壽命函數)의 추정(推定)

Estimation of Mean Residual Life Function for a Coherent System

  • Park, Byung-Gu (Department of Statistics, Kyungpook National University)
  • 발행 : 1993.06.25
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초록

In this paper we propose a nonparametric estimator of the men residual life function (MRLF) on a coherent system under the condition that the component lifetimes are censored by system lifetime. It is shown that the proposed estimator, considered as a function of age t, converges weakly to a Gaussian process on a fixed interval. A consistent estimator of asymptotic variance of the proposed estimator is also given.

키워드

참고문헌

  1. Statistical Theory of Relability and Life Testing - Probability Models Barlow, R.E.;Proschan, F.
  2. Convergence of Probability Measures Billingsley, P.
  3. Renewal Theory Cox, D.R.
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  5. Counting Process and Survival Analysis Fleming, T.R.;Harrington, D.P.
  6. Censoring and Stochastic Integrals;Mathematical Centre Tracts 124 Gill, R.D.
  7. The Annuals of Statistics v.53 Large Sample Behavior of the Product Limit Estimator on the Whole Line Gill, R.D.
  8. Journal of the American Statistical Association v.53 Nonparametric Estimation from Incomplete Observations Kaplan, E.L.;Meier, P.
  9. The Annals of Statistics v.8 Large Sample Theory for an Estimator of the Mean Survival Time from Censored Samples Susarla, V.;Van Ryzin, J.
  10. IEEE Transactions on Reliability v.R22 The Mean Residual Life function Swartz, G.B.
  11. Stochastic Processes and their Applications v.6 Life Expectancy under Random Censorship Yang, G.
  12. The Annals of Statistics v.6 Estimation of a Biometric Function Yang, G.