Parametric and nonparametric estimators of ED100α

Journal of Statistical Computation and Simulation

Volumn 76, Issue 8, 2006, Pages 661-672

  Park, Dongryeon ^a   Park, Sangun ^b  

^a Hanshin University   (South Korea)

^b Yonsei University   (South Korea)

Author keywords

ED100 ; Local quasi likelihood; Logit model; Non parametric regression; Response curve; Small sample

Indexed keywords

EID: 33745120164     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/10629360500279706     Document Type: Article

References (19)

1. Müller, H. and Schmitt, T., 1988, Kernel and probit estimates in quantal bioassay. Journal of the American Statistical Association, 83, 750-759.
2. Gasser, T. and Müller, H.G., 1984, Estimating regression functions and their derivatives by the kernel method. Scandinavian Journal of Statistics, 11, 171-185.
3. Fan, J., 1992, Design-adaptive nonparametric regression. Journal of the American Statistical Association, 87, 998-1004.
4. Park, D., 1999, Comparison of two response curve estimators. Journal of Statistical Computation and Simulation, 62, 259-269.
5. Nelder, J.A. and Wedderburn, R.W.M., 1972, Generalized linear models. Journal of Royal Statistical Society Series A, 135, 370-384.
6. Tibshirani, R. and Hastie, T., 1987, Local likelihood estimation. Journal of the American Statistical Association, 82, 559-568.
7. Staniswalis, J.G., 1989, The kernel estimates of a regression function in likelihood-based models. Journal of the American Statistical Association, 84, 276-283.
8. Wedderburn, R.W.M., 1974, Quasi-likelihood functions, generalized linear models, and the Gauss-Newton mehod. Biometrika, 61, 439-447.
9. Godambe, V.P. and Heyde, C.C., 1987, Quasi-likelihood and optimal estimation. International Statistical Review, 55, 231-244.
10. Fan, J., Heckman, N. and Wand, M., 1995, Local polynomial kernel regression for generalized linear models and quasi-likelihood functions. Journal of the American Statistical Association, 90, 141-150.
11. Friedman, J.H. and Tibshirani, R.J., 1984, The monotone smoothing of scatterplots. Technometrics, 26, 243-250.
12. Kappenman, R., 1987, Nonparametric estimation of dose-response curves with application to ED50 estimation. Journal of Statistical Computation and Simulation, 28, 1-13.
13. Härdle, W., 1990, Applied Nonparametric Regression (Cambridge: Cambridge University Press).
14. Hall, P. and Huang, L., 2001, Nonparametric kernel regression subject to monotonicity constraints. Annals of Statistics, 29, 624-647.
15. Barlow, R.E., Bartholomew, D.J., Bremner, J.M. and Brunk, H.D., 1972, Statistical Inference Under Order Restrictions (New York: John Wiley).
16. Silvapulle, M.J., 1981, On the existence of maximum likelihood estimators for the binomial response model. Journal of the Royal Statistical Society Series B, 43, 310-313.
17. Chen, M. and Shao, Q., 2000, Propriety of posterior distribution for dichotomous quantal response models. Proceedings of the American Mathematical Society, 129, 293-302.
18. Loader, C., 1999, Local Regression and Likelihood (New York: Springer-Verlag).
19. Wu, C.F.J., 1985, Efficient sequential designs with binary data. Journal of the American Statistical Association, 80, 974-984.