Estimation in singular partitioned, reduced or transformed linear models

被引：12

作者：

Kala, Radoslaw ^{[1
]}

Pordzik, Pawel ^{[1
]}

机构：

[1] Acad Agr Poznan, Dept Math & Stat Methods, PL-60637 Poznan, Poland

来源：

STATISTICAL PAPERS | 2009年 / 50卷 / 03期

关键词：

Linear sufficiency; Best linear unbiased estimation; Nuisance parameters;

D O I：

10.1007/s00362-007-0097-9

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：

A singular partitioned linear model, i.e. the singular model comprising the main parameters and the nuisance parameters, can be reduced, or transformed to the form in which only linear functions concerning main parameters are involved. In the paper some properties of the best linear unbiased estimators of these functions following from these models are considered.

引用

页码：633 / 638

页数：6

共 9 条

[1] LINEAR SUFFICIENCY WITH RESPECT TO A GIVEN VECTOR OF PARAMETRIC FUNCTIONS
BAKSALARY, JK
KALA, R
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1986, 14 (03) : 331 - 338
[2] LINEAR TRANSFORMATIONS PRESERVING BEST LINEAR UNBIASED ESTIMATORS IN A GENERAL GAUSS-MARKOFF MODEL
BAKSALARY, JK
KALA, R
[J]. ANNALS OF STATISTICS, 1981, 9 (04) : 913 - 916
[3] BARNARD GA, 1963, J ROY STAT SOC B, V25, P124
[4] BHIMASANKARAM P, 1997, LINEAR ALGEBRA APPL, V246, P349
[5] Drygas H., 1983, Sankhya A, V45, P88
[6] FEUERVERGER A., 1980, Canadian J. Statist, V8, P41
[7] Estimation under a general partitioned linear model
Gross, J
Puntanen, S
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 321 (1-3) : 131 - 144
[8] Rao C. R., 1973, J. Multivariate Anal., V3, P276, DOI [10.1016/0047-259x(73)90042-0, DOI 10.1016/0047-259X(73)90042-0, 10.1016/0047-259X(73)90042-0]
[9] RAO CR, 1974, J ROY STAT SOC B MET, V36, P442

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