Browse > Article
http://dx.doi.org/10.5351/CKSS.2002.9.3.743

Optimal Design for Locally Weighted Quasi-Likelihood Response Curve Estimator  

Park, Dongryeon (Department of Statistics, Hanshin University)
Publication Information
Communications for Statistical Applications and Methods / v.9, no.3, 2002 , pp. 743-752 More about this Journal
Abstract
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.
Keywords
Local quasi-likelihood; Nonparametric regression; Optimal design; Response curve;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Comparison of Two Response Curve Estimators /
[ Park, D. ] / Journal of Statistical Computation and Simulation   DOI   ScienceOn
2 /
[ Collett, D. ] / Modelling Binary Data
3 Optimal Designs for Nonparametric Kernel Regression /
[ Muller, H. ] / Statistics & Probability Letters   DOI   ScienceOn
4 Design-adaptive Nonparametric Regression /
[ Fan, J. ] / Journal of th American Statistical Association   DOI   ScienceOn
5 /
[ Loader, C. ] / Local Regressoin and Likelihood
6 Quasi-Likelihood Functions, Generalized Linear Models, and the Gauss-Newton Method /
[ Wedderburn, R.W.M. ] / Biometrika
7 /
[ Morgan, B.J.T. ] / Analysis of Quantal Response Data
8 Kernel and Probit Estimates in Quantal Bioassay /
[ Muller, H.;Schmitt, T. ] / Journal of the American Statistical Association   DOI   ScienceOn
9 /
[ Fan, J.;Gijbels, I. ] / Local Polynomial Modelling and Its Applications
10 Local Polynomial Kernel Regression for Generalized Linear Models adn Quasi-Likelihood Functions /
[ Fan, J.;Heckman, N.;Wand, M. ] / Journal of th American Statistical Association   DOI   ScienceOn
11 Sequential Design for Response Curve Estimation /
[ Park, D.;Faraway, J.J. ] / Journal of Nonparametric Statistics   DOI
12 Generalized Linear Models /
[ Nelder, J.A.;Wedderburm, R.W.M. ] / Journal of Royal Statistical Society   DOI   ScienceOn
13 Local Likelihood Estimation /
[ Tibshirani, R.;Hastie, T. ] / Journal of the American Statistical Association   DOI   ScienceOn
14 Estimating Regression Functions and Their Derivatives by the Kernel Method /
[ Gasser. T.;Muller. H.G. ] / Scandinavian Journal of Statistics
15 Quasi-Likelihood and Optimal Estimation /
[ Godambe, V.P.;Heyde, C.C. ] / International Statistical Review   DOI   ScienceOn
16 The Kernel Estimates of a Regression Function in Likelihood-based Models /
[ Staniswalis, J.G. ] / Journal of the American Statistical Association   DOI   ScienceOn