Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Somoothing Mean Residual Life with Censored Data

  • Dong-Myung Jeong (Lecturer, Department of Statistics, Kyungpook Natkonal University, Taegu, 702-701, Korea) ;
  • Myung-Unn Song (ph. D. Candidate, Department of Statistics, Kyungpook National University, Taegu, 702-701, Korea) ;
  • Jae-Kee Song (Associate Professor, Department of Statistics, Kyungpook National University, Taegu, 702-701, Korea)
  • Published : 1996.08.01
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Abstract

We propose a smoothing estimator of mean residual life function based on Ghorai and Susarla's (1990) smooth estimator of distribution function under random censorship model and provide the asymptotic properties of this estimator. The Monte Carlo simulation is performed to compare the proposed estimator with the other estimators and an exmple is also given using the real data.

Keywords

References

  1. Annals of Statistics v.6 Nonparametric inference for a family of counting processes Aalen, O.
  2. Convergence of Probability Measures Billingsley, P.
  3. Western Journal of Medicine v.126 Remission maintenance therapy in acute myelogenous leukemia Embury, S.H.;Elias, L;Heller, P.H.;Hood, C.E.;Greenberg, P.L.;Schrier, S.L.
  4. Theory of Methods v.16 no.7 Estimation of mean residual life with censored data under proportional hazard model Ghorai, J.K.;Rejto, L.
  5. Metrika v.37 Kernel estimation of a smooth distribution function based on censored data Ghorai, J.K.;Susarla, V.
  6. Statistics and Related Topics Mean residual life Hall, W.J.;Wellner, J.A.;M. Csorgo(Ed);D. A. Dawson;J.N.K. Rao;Md.E. Saleh
  7. Journal of the American Statistical Association v.53 Nonparametric estimation from incomplete observations Kaplan, E.L.;Meier, P.
  8. Biometrika v.74 A note an estimator of life expectancy with random censorship Kumazawa, Y.
  9. Technometrics v.14 Theory and applications of hazards plotting for censored failure data Nelson, W.B.
  10. Empirical Processes with Applications to Statistics Shorack, G.R.;Wellner, J.A.
  11. Stochastic processes and their applications v.6 Life expectancy under random censorship Yang, G.L.
  12. Annals of Statistics v.6 Estimation of Biometric function Yang, G.L.