Geodesic
Nonparametric estimation of effective doses at quantal response
Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 94-108

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For the quantal response model we propose a new direct method for nonparametric estimation of the effective dose level $ED_{100\lambda}$ ($0 \lambda 1$). This method yields a simple and reliable monotone estimate of the effective dose level curve $\lambda\to ED_{100\lambda}$ and is appealing to users of conventional smoothing methods of kernel estimates. Moreover, it is computationally very efficient, because it does not require a numerical inversion of the estimate of the quantile dose response curve. We prove asymptotic normality of this new estimator and compare it with the DNP-estimator.
Keywords: binary response model, effective dose level, nonparametric estimate. 
@article{UFA_2013_5_2_a8,
     author = {M. S. Tikhov},
     title = {Nonparametric estimation of effective  doses at quantal response},
     journal = {Ufa mathematical journal},
     pages = {94--108},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a8/}
}
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M. S. Tikhov. Nonparametric estimation of effective  doses at quantal response. Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 94-108. http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a8/