Journal of the Korean Statistical Society

  • 제32권1호
  • /
  • Pages.85-92
  • /
  • 2003
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

SOME PROPERTIES OF SIMEX ESTIMATOR IN PARTIALLY LINEAR MEASUREMENT ERROR MODEL

  • 발행 : 2003.03.01
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초록

We consider the partially linear model E(Y) : X$^{t}$ $\beta$＋η(Z) when the X's are measured with additive error. The semiparametric likelihood estimation ignoring the measurement error gives inconsistent estimator for both $\beta$ and η(.). In this paper we suggest the SIMEX estimator for f to correct the bias induced by measurement error, and explore its properties. We show that the rational linear extrapolant is proper in extrapolation step in the sense that the SIMEX method under this extrapolant gives consistent estimator It is also shown that the SIMEX estimator is asymptotically equivalent to the semiparametric version of the usual parametric correction for attenuation suggested by Liang et al. (1999) A simulation study is given to compare two variance estimating methods for SIMEX estimator.

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참고문헌

  1. Journal of the American Statistical Association v.91 Asymptotics for the SIMEX estimator in nonlinear measurement error models Carroll, R. J.;Kuchenhoff, H.;Lombard, F.;Stefanski, L. A.
  2. Measurement Error in Nonlinear Models Carroll, R. J.;Ruppert, D.;Stefanski, L. A.
  3. Journal of the American Statical Association v.85 Approzimate quasi-likelihood estimation in models with surrogate predictors Carroll, R. J;Stefanski, L. A.
  4. The Annals of Statistics v.16 Convergence rates for parametric components in a partially linear model Chen, H.
  5. Journal of the American Statistical Association v.89 A Simulation extrapolation method for parametric measurement error models Cook, J.;Stefanski, L. A.
  6. Measurement Error Models Fuller, W. A.
  7. Journal of the Royal Statistical Society v.B48 Spline smoothing in partly linear models heckman, N. E.
  8. Communications in Statistics-Simulation and Computation v.29 Simulation-extrapolation via the Bezier curve in measurement error models Kim, C.;Hong, C.;Jeong, M.
  9. The Annals of Statistics v.27 Large sample theory in a semiparametric partially linear errors-in-variables model Liang, H.;Hardle, W.;Carroll, R. J.
  10. Journal of the American Statistical Association v.89 Quasi-likelihood estimation in semiparametric models Severini, T. A.;Staniswalis, J. G.
  11. Journal of the Royal Statistical Society v.B50 Kernel smoothing in partial linear models Speckman, P.
  12. Journal of the American Statistical Association v.90 Simulation-extrapolation:The measurement error jackknife Stefanski, L. A.;Cook, J.