An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies
An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies
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DOI：
10.1016/j.spl.2010.08.024
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发表时间：
2010-12-01
影响因子：
0.8
通讯作者：
Lin, Lizhen
中科院分区：
文献类型：
--
作者：
Bhattacharya, Rabi;Lin, Lizhen
我们提出了一种新的非参数方法，用于风险评估中的生物测定和基准分析，该方法基于不相关的剂量亚组平均等渗MLEs。推导了该方法的渐近理论，表明剂量响应曲线F及其逆F（-1）的估计的平均积分平方误差（MISEs）达到最优速率0（N(-4/5)）。此外，我们还计算了有效剂量sigma(p) = F(-1)(p)的估计（sigma）在波浪(p)上的渐近分布，结果显示其渐近方差最小。(C) 2010 Elsevier B.V.版权所有
We present a novel nonparametric method for bioassay and benchmark analysis in risk assessment, which averages isotonic MLEs based on disjoint subgroups of dosages. The asymptotic theory for the methodology is derived, showing that the MISEs (mean integrated squared error) of the estimates of both the dose-response curve F and its inverse F(-1) achieve the optimal rate 0(N(-4/5)). Also, we compute the asymptotic distribution of the estimate (sigma) over tilde (p) of the effective dosage sigma(p) = F(-1)(p) which is shown to have an optimally small asymptotic variance. (C) 2010 Elsevier B.V. All rights reserved.