Optimal design for quasi-likelihood estimation in Poisson regression with random coefficients

被引：13

作者：

Niaparast, Mehrdad ^{[1
]}

Schwabe, Rainer ^{[2
]}

机构：

[1] Razi Univ, Dept Stat, Kermanshah, Iran

[2] Univ Magdeburg, Inst Math Stochast, D-39016 Magdeburg, Germany

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2013年 / 143卷 / 02期

关键词：

Generalized linear mixed model; Optimal design; Poisson regression; Quasi-likelihood; Random coefficients; MODELS;

D O I：

10.1016/j.jspi.2012.07.009

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：

Count data may be described by a Poisson regression model. If random coefficients are involved, maximum likelihood is not feasible and alternative estimation methods have to be employed. For the approach based on quasi-likelihood estimation a characterization of design optimality is derived and optimal designs are determined numerically for an example with random slope parameters. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：296 / 306

页数：11

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