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Statistica Sinica 4(1994), 305-324


RISK-EFFICIENT ESTIMATION OF THE MEAN OF THE

LOGISTIC RESPONSE FUNCTION USING THE

SPEARMAN-KARBER ESTIMATOR


A. Nanthakumar and Z. Govindarajulu


University of Tennessee at Martin and University of Kentucky


Abstract: In this paper we study the asymptotic properties of the sequential risk-efficient rule developed for the estimation of the mean of the logistic response function based on the quantal responses observed at equally spaced dose levels. The Spearman-Karber (S-K) and Spearman-type variance (S- T-V) estimator are used for the mean and variance, respectively, in the sequential estimation.



Key words and phrases: Logistic regression, lethal dosage 50, sequential estimation, Spearman-Karber estimator, optimal properties.



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