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位置尺度剂量反应曲线中位置参数的小样本二元反应估计AI 解读

When one uses a small number of quantal responses to estimate a location parameter in the presence of an unknown scale parameter for a logistic or normal dose-response curve, it is often possible to substantially improve upon the method of maximum likelihood. Some generalized method-of-moments estimators are proposed for an arbitrary dose-response curve known up to location and scale and a theorem is given that establishes existence and uniqueness properties. In a computer…

位置或尺度参数的修正 Spearman 估计量AI 解读

A method of moments estimator for a location or scale parameter, based on quantal responses, is proposed. The method prescribes Spearman estimation of a generalized moment τ = f G(x) F(dx; θ) where G is a specific distribution in a parametric family of distributions F(·; θ). The choice of design is equal probability spacing with respect to G, i.e., the levels xi are chosen to satisfy G(xi ) = i/(k + 1), where k is the number of levels. General properties of the method are…

位置或尺度参数的修正 Spearman 估计量AI 解读

A method of moments estimator for a location or scale parameter, based on quantal responses, is proposed. The method prescribes Spearman estimation of a generalized moment τ = f G(x) F(dx; θ) where G is a specific distribution in a parametric family of distributions F(·; θ). The choice of design is equal probability spacing with respect to G, i.e., the levels xi are chosen to satisfy G(xi ) = i/(k + 1), where k is the number of levels. General properties of the method are…

Spearman–Kärber 与最大似然均值估计的等价性AI 解读

In this article, we show that two methods of estimating the mean of a distribution using quantal response data are often equivalent. The two estimates considered are the Spearman-Kärber and an estimate discussed in a previous article by the authors [4]. The latter is based on a maximum likelihood solution for a nonparametric problem.

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