Locally and maximin optimal designs for multi-factor nonlinear models

被引：9
|
作者：
Rodriguez, C. [1 ]
Ortiz, I. [1 ]
Martinez, I. [1 ]
机构：
[1] Almeria Univ, Dept Math, Almeria, Spain
来源：
STATISTICS | 2015年 / 49卷 / 05期
关键词：
additive models; locally D-optimal designs; nonlinear regression models; standardized maximin D-optimal designs;
D O I：
10.1080/02331888.2014.922562
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：
This paper considers the search for locally and maximin optimal designs for multi-factor nonlinear models from optimal designs for sub-models of a lower dimension. In particular, sufficient conditions are given so that maximin D-optimal designs for additive multi-factor nonlinear models can be built from maximin D-optimal designs for their sub-models with a single factor. Some examples of application are models involving exponential decay in several variables.
引用
收藏
页码：1157 / 1168
页数：12
相关论文
共 50 条
  • [1] Bayesian and maximin optimal designs for heteroscedastic multi-factor regression models
    Lei He
    Daojiang He
    [J]. Statistical Papers, 2023, 64 : 1997 - 2013
  • [2] Bayesian and maximin optimal designs for heteroscedastic multi-factor regression models
    He, Lei
    He, Daojiang
    [J]. STATISTICAL PAPERS, 2023, 64 (06) : 1997 - 2013
  • [3] Bayesian optimal designs for multi-factor nonlinear models
    He, Lei
    [J]. STATISTICAL METHODS AND APPLICATIONS, 2021, 30 (01): : 223 - 233
  • [4] Bayesian optimal designs for multi-factor nonlinear models
    Lei He
    [J]. Statistical Methods & Applications, 2021, 30 : 223 - 233
  • [5] A note on R-optimal designs for multi-factor models
    Liu, Xin
    Yue, Rong-Xian
    Chatterjee, Kashinath
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2014, 146 : 139 - 144
  • [6] R-optimal designs for multi-factor models with heteroscedastic errors
    Lei He
    Rong-Xian Yue
    [J]. Metrika, 2017, 80 : 717 - 732
  • [7] R-optimal designs for multi-factor models with heteroscedastic errors
    He, Lei
    Yue, Rong-Xian
    [J]. METRIKA, 2017, 80 (6-8) : 717 - 732
  • [8] Optimal designs for multi-factor nonlinear models based on the second-order least squares estimator*
    He, Lei
    [J]. STATISTICS & PROBABILITY LETTERS, 2018, 137 : 201 - 208
  • [9] Partially A-optimal blocked multi-factor designs
    Wang, Xiaodi
    Chen, Xueping
    Zhang, Yingshan
    [J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2018, 47 (01) : 66 - 76
  • [10] Partially A-optimal blocked multi-factor designs
    Xiaodi Wang
    Xueping Chen
    Yingshan Zhang
    [J]. Journal of the Korean Statistical Society, 2018, 47 : 66 - 76
12345