A NOTE ON OPTIMAL BAYESIAN DESIGN FOR NONLINEAR PROBLEMS

被引：34

作者：

CHALONER, K ^{[1
]}

机构：

[1] UNIV MINNESOTA,SCH STAT,ST PAUL,MN 55108

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1993年 / 37卷 / 02期

关键词：

BAYESIAN DESIGN; LOGISTIC REGRESSION; NONLINEAR MODELS; OPTIMAL DESIGN;

D O I：

10.1016/0378-3758(93)90091-J

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：

One parameter design problems with a single explanatory variable are considered. Conditions are derived under which a one-point design is optimal in a Bayesian sense under a prior distribution on the parameter. In addition, optimal Bayesian designs for symmetric prior distributions with two support points are characterized for logistic regression with known slope parameter.

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页码：229 / 235

页数：7

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