An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies

被引：12

作者：

Bhattacharya, Rabi ^{[1
]}

Lin, Lizhen ^{[1
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2010年 / 80卷 / 23-24期

基金：

美国国家科学基金会;

关键词：

Monotone close-response curve estimation; Effective dosage; Benchmark analysis; Mean integrated square error; Asymptotic normality; QUANTAL BIOASSAY;

D O I：

10.1016/j.spl.2010.08.024

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：1947 / 1953

页数：7

共 11 条

[1] AN EMPIRICAL DISTRIBUTION FUNCTION FOR SAMPLING WITH INCOMPLETE INFORMATION [J].