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Optimal Design for Locally Weighted Quasi-Likelihood Response Curve Estimator

  • 발행 : 2002.12.01

초록

The estimation of the response curve is the important problem in the quantal bioassay. When we estimate the response curve, we determine the design points in advance of the experiment. Then naturally we have a question of which design would be optimal. As a response curve estimator, locally weighted quasi-likelihood estimator has several more appealing features than the traditional nonparametric estimators. The optimal design density for the locally weighted quasi-likelihood estimator is derived and its ability both in theoretical and in empirical point of view are investigated.

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참고문헌

  1. Modelling Binary Data Collett, D.
  2. Journal of th American Statistical Association v.87 Design-adaptive Nonparametric Regression Fan, J. https://doi.org/10.2307/2290637
  3. Journal of th American Statistical Association v.90 Local Polynomial Kernel Regression for Generalized Linear Models adn Quasi-Likelihood Functions Fan, J.;Heckman, N.;Wand, M. https://doi.org/10.2307/2291137
  4. Local Polynomial Modelling and Its Applications Fan, J.;Gijbels, I.
  5. Scandinavian Journal of Statistics v.11 Estimating Regression Functions and Their Derivatives by the Kernel Method Gasser. T.;Muller. H.G.
  6. International Statistical Review v.55 Quasi-Likelihood and Optimal Estimation Godambe, V.P.;Heyde, C.C. https://doi.org/10.2307/1403403
  7. Local Regressoin and Likelihood Loader, C.
  8. Analysis of Quantal Response Data Morgan, B.J.T.
  9. Statistics & Probability Letters v.2 Optimal Designs for Nonparametric Kernel Regression Muller, H. https://doi.org/10.1016/0167-7152(84)90066-X
  10. Journal of the American Statistical Association v.83 Kernel and Probit Estimates in Quantal Bioassay Muller, H.;Schmitt, T. https://doi.org/10.2307/2289301
  11. Journal of Royal Statistical Society v.135 Generalized Linear Models Nelder, J.A.;Wedderburm, R.W.M. https://doi.org/10.2307/2344614
  12. Journal of Statistical Computation and Simulation v.62 Comparison of Two Response Curve Estimators Park, D. https://doi.org/10.1080/00949659908811935
  13. Journal of Nonparametric Statistics v.9 Sequential Design for Response Curve Estimation Park, D.;Faraway, J.J. https://doi.org/10.1080/10485259808832740
  14. Journal of the American Statistical Association v.84 The Kernel Estimates of a Regression Function in Likelihood-based Models Staniswalis, J.G. https://doi.org/10.2307/2289874
  15. Journal of the American Statistical Association v.82 Local Likelihood Estimation Tibshirani, R.;Hastie, T. https://doi.org/10.2307/2289465
  16. Biometrika v.61 Quasi-Likelihood Functions, Generalized Linear Models, and the Gauss-Newton Method Wedderburn, R.W.M.