Bayesian Ds-optimal designs for generalized linear models with varying dispersion parameter

被引：1
|
作者：
Pinto, Edmilson Rodrigues [1 ]
de Leon, Antonio Ponce [2 ]
机构：
[1] Univ Fed Uberlandia, Dept Math, Av Joao Naves Avila 2121, BR-38400 Uberlandia, MG, Brazil
[2] Univ Estado Rio De Janeiro, Inst Social Med, Dept Epidemiol, BR-20550 Rio De Janeiro, Brazil
来源：
MODA 8 - ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS | 2007年
关键词：
D-s-optimum designs; Bayesian designs; extended quasi-likelihood;
D O I：
10.1007/978-3-7908-1952-6_23
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we extend the theory of optimum designs for generalized linear models, addressing the optimality of designs for parameter estimation in a location-dispersion model when either not all p parameters in the mean model or not all q parameters in the dispersion model are of interest. The criterion of Bayesian D-s-optimality is adopted and its properties are derived. The theory is illustrated with an example from the coffee industry.
引用
收藏
页码：181 / +
页数：2
相关论文
共 50 条
  • [41] Identification of linear parameter varying models
    Bamieh, B
    Giarré, L
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2002, 12 (09) : 841 - 853
  • [42] Maximin and Bayesian optimal designs for regression models
    Dette, Holger
    Haines, Linda M.
    Imhof, Lorens A.
    STATISTICA SINICA, 2007, 17 (02) : 463 - 480
  • [43] A note on the construction of locally D- and DS-optimal designs for the binary logistic model with several explanatory variables
    Kabera, M. Gaetan
    Haines, Linda M.
    Ndlovu, Principal
    STATISTICS & PROBABILITY LETTERS, 2012, 82 (05) : 865 - 870
  • [44] Optimal designs in multivariate linear models
    Markiewicz, A.
    Szczepanska, A.
    STATISTICS & PROBABILITY LETTERS, 2007, 77 (04) : 426 - 430
  • [45] Optimal designs in sparse linear models
    Yimin Huang
    Xiangshun Kong
    Mingyao Ai
    Metrika, 2020, 83 : 255 - 273
  • [46] Optimal designs for additive linear models
    Schwabe, R
    STATISTICS, 1996, 27 (3-4) : 267 - 278
  • [47] Optimal designs in sparse linear models
    Huang, Yimin
    Kong, Xiangshun
    Ai, Mingyao
    METRIKA, 2020, 83 (02) : 255 - 273
  • [48] Bayesian D-Optimal Design Issues for Binomial Generalized Linear Model Screening Designs
    Hassler, Edgar
    Montgomery, Douglas C.
    Silvestrini, Rachel T.
    FRONTIERS IN STATISTICAL QUALITY CONTROL 11, 2015, : 337 - 353
  • [49] BAYESIAN D-OPTIMAL AND MODEL ROBUST DESIGNS IN LINEAR-REGRESSION MODELS
    DETTE, H
    STATISTICS, 1993, 25 (01) : 27 - 46
  • [50] Bayesian treed generalized linear models
    Chipman, HA
    George, EI
    McCulloch, RE
    BAYESIAN STATISTICS 7, 2003, : 85 - 103
12345