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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2013 Volume 5, Issue 2, Pages 94–108 (Mi ufa201)

This article is cited in 5 papers

Nonparametric estimation of effective doses at quantal response

M. S. Tikhov

Lobachevsky State University of Nizhni Novgorod, Gagarin avenue, 23, 603950, Nizhni Novgorod, Russia

Abstract: 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.

UDC: 519.2

MSC: 62G05, 62G08, 62G20, 62P10

Received: 16.02.2012


 English version:
Ufa Mathematical Journal, 2013, 5:2, 94–108

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