Optimal designs for heteroscedastic regression models with two parameters

被引：2

作者：

Zaigraev, A. ^{[1
]}

Wilk, M. ^{[1
,2
]}

机构：

[1] Nicolaus Copernicus Univ Torun, Torun, Poland

[2] Polish Acad Sci, Inst Psychol, Warsaw, Poland

来源：

STATISTICS | 2020年 / 54卷 / 02期

关键词：

Optimal design; criterion of optimality; heteroscedastic errors; FCR model; RCR model; PREDICTION;

D O I：

10.1080/02331888.2019.1702041

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：

Optimal design problems for different criteria of optimality in case of two regression coefficients for fixed and random models with heteroscedastic errors are considered. The results obtained essentially generalize those from Wilk and Zaigraev [DS-optimal designs for random coefficient first-degree regression models with heteroscedastic errors. Statist Probab Lett. 2017;128:28-34].

引用

页码：291 / 309

页数：19

共 50 条

[1] Bayesian and maximin optimal designs for heteroscedastic regression models
Dette, H
Haines, LM
Imhof, LA
[J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2005, 33 (02): : 221 - 241
[2] A-optimal designs for heteroscedastic multifactor regression models
Rodriguez, Carmelo
Ortiz, Isabel
Martinez, Ignacio
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (03) : 757 - 771
[3] Optimal Designs for Random Coefficient Regression Models with Heteroscedastic Errors
Cheng, Jing
Yue, Rong-Xian
Liu, Xin
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2013, 42 (15) : 2798 - 2809
[4] V-optimal designs for heteroscedastic regression
Wiens, Douglas P.
Li, Pengfei
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2014, 145 : 125 - 138
[5] Locally D-optimal designs for multistage models and heteroscedastic polynomial regression models
Fang, Zhide
Wiens, Douglas P.
Wu, Zheyang
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2006, 136 (11) : 4059 - 4070
[6] Bayesian and maximin optimal designs for heteroscedastic multi-factor regression models
He, Lei
He, Daojiang
[J]. STATISTICAL PAPERS, 2023, 64 (06) : 1997 - 2013
[7] Bayesian and maximin optimal designs for heteroscedastic multi-factor regression models
Lei He
Daojiang He
[J]. Statistical Papers, 2023, 64 : 1997 - 2013
[8] Optimal minimax designs for prediction in heteroscedastic models
King, J
Wong, WK
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1998, 69 (02) : 371 - 383
[9] Minimax robust designs for regression models with heteroscedastic errors
Kai Yzenbrandt
Julie Zhou
[J]. Metrika, 2022, 85 : 203 - 222
[10] Minimax robust designs for regression models with heteroscedastic errors
Yzenbrandt, Kai
Zhou, Julie
[J]. METRIKA, 2022, 85 (02) : 203 - 222

← 1 2 3 4 5 →