Barry R. James, Kang Ling James, Henrique Westenberger
Analogues of R-estimators are defined for the problem of estimating the median of a symmetric tolerance distribution in quantal bioassay. Asymptotic distributions are derived, and it is shown that the logistic scores estimator is, in a certain sense, asymptotically efficient. A Monte Carlo study is conducted to investigate the small-sample behavior of this estimator in relation to 10 competing estimators. The results suggest that the logistic scores estimator merits further consideration.
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