Estimation of linear parametric functions in multiresponse models

Ryszard Walkowiak. "Estimation of linear parametric functions in multiresponse models." Mathematica Applicanda 15.29 (1987): null. <http://eudml.org/doc/292855>.

@article{RyszardWalkowiak1987,
abstract = {Consider an incomplete multiresponse experiment with a classification of the observations into u classes. The class Si contains ti treatments with ni observations. Thus, the experiment can be described by the set \{Y1,Y2,...,Yu\}, where Yi are ni×ti random matrices of observations from the class Si. For the expectation of each Yi a linear model with main and nuisance parameters is proposed. The problem of (linear) estimation of the main parameters is considered using results of R. Zmyślony [in Mathematical statistics and probability theory (Wisła, 1978), 365–373, Lecture Notes in Statist., 2, Springer, New York, 1980; MR0577292] and J. K. Baksalary [Math. Operationsforsch. Statist. Ser. Statist. 15 (1984), no. 1, 3–35; MR0729609].},
author = {Ryszard Walkowiak},
journal = {Mathematica Applicanda},
keywords = {Linear regression; Characterization and structure theory},
language = {eng},
number = {29},
pages = {null},
title = {Estimation of linear parametric functions in multiresponse models},
url = {http://eudml.org/doc/292855},
volume = {15},
year = {1987},
}

TY - JOUR
AU - Ryszard Walkowiak
TI - Estimation of linear parametric functions in multiresponse models
JO - Mathematica Applicanda
PY - 1987
VL - 15
IS - 29
SP - null
AB - Consider an incomplete multiresponse experiment with a classification of the observations into u classes. The class Si contains ti treatments with ni observations. Thus, the experiment can be described by the set {Y1,Y2,...,Yu}, where Yi are ni×ti random matrices of observations from the class Si. For the expectation of each Yi a linear model with main and nuisance parameters is proposed. The problem of (linear) estimation of the main parameters is considered using results of R. Zmyślony [in Mathematical statistics and probability theory (Wisła, 1978), 365–373, Lecture Notes in Statist., 2, Springer, New York, 1980; MR0577292] and J. K. Baksalary [Math. Operationsforsch. Statist. Ser. Statist. 15 (1984), no. 1, 3–35; MR0729609].
LA - eng
KW - Linear regression; Characterization and structure theory
UR - http://eudml.org/doc/292855
ER -