A NOTE ON ROBUST DESIGNS FOR POLYNOMIAL REGRESSION

被引：16

作者：

DETTE, H ^{[1
]}

机构：

[1] UNIV GOTTINGEN,INST MATEMAT,W-3400 GOTTINGEN,GERMANY

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1991年 / 28卷 / 02期

关键词：

POLYNOMIAL REGRESSION; ROBUST DESIGN; D-OPTIMAL DESIGN; CANONICAL MOMENTS; DISCRETE UNIFORM DISTRIBUTION;

D O I：

10.1016/0378-3758(91)90027-C

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：

We show that every discrete symmetric probability measure on [-1,1] with finite support can be characterized as a model robust D-optimal design (in the sense of Lauter (1974) in polynomial regression. As special cases the discrete uniform and some model robust designs given in the literature are identified as optimal designs for a class of polynomial regression models.

引用

页码：223 / 232

页数：10

共 50 条

[41] WEIGHTED POLYNOMIAL REGRESSION DESIGNS WITH MINIMUM AVERAGE VARIANCE
MALYUTOV, MB
FEDOROV, VV
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1971, 16 (04): : 716 - 720
[42] Optimal designs for dual response polynomial regression models
Chang, FC
Huang, MNL
Lin, DKJ
Yang, HC
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2001, 93 (1-2) : 309 - 322
[43] OPTIMAL DESIGNS FOR POLYNOMIAL REGRESSION WHEN THE DEGREE IS NOT KNOWN
DETTE, H
STUDDEN, WJ
STATISTICA SINICA, 1995, 5 (02) : 459 - 473
[44] D-optimal designs for weighted polynomial regression
Chang, FC
Lin, GC
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1997, 62 (02) : 317 - 331
[45] Computing E-optimal polynomial regression designs
Heiligers, B
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1996, 55 (02) : 219 - 233
[46] E-OPTIMAL DESIGNS IN WEIGHTED POLYNOMIAL REGRESSION
HEILIGERS, B
ANNALS OF STATISTICS, 1994, 22 (02): : 917 - 929
[47] E-optimal designs for polynomial spline regression
Heiligers, B
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1998, 75 (01) : 159 - 172
[48] D-optimal designs for weighted polynomial regression
Fang, ZD
STATISTICS & PROBABILITY LETTERS, 2003, 63 (02) : 205 - 213
[49] ADMISSIBLE EXPERIMENTAL-DESIGNS IN MULTIPLE POLYNOMIAL REGRESSION
HEILIGERS, B
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1992, 31 (02) : 219 - 233
[50] D-optimal designs for weighted polynomial regression
Journal of Statistical Planning and Inference, 62 (02):

← 1 2 3 4 5 →