Estimation of polynomials in the regression model
Aplikace matematiky (1982)
- Volume: 27, Issue: 3, page 223-231
- ISSN: 0862-7940
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topVolaufová, Júlia. "Estimation of polynomials in the regression model." Aplikace matematiky 27.3 (1982): 223-231. <http://eudml.org/doc/15241>.
@article{Volaufová1982,
abstract = {Let $\mathbf \{Y\}$ be an $n$-dimensional random vector which is $N_n(\mathbf \{A0,K\})$ distributed. A minimum variance unbiased estimator is given for $f(o)$ provided $f$ is an unbiasedly estimable functional of an unknown $k$-dimensional parameter $\mathbf \{0\}$.},
author = {Volaufová, Júlia},
journal = {Aplikace matematiky},
keywords = {estimation of polynomials; regression model; general linear model; BLUE; unbiased estimate; generalized Hermitian polynomial; estimation of polynomials; regression model; general linear model; BLUE; unbiased estimate; generalized Hermitian polynomial},
language = {eng},
number = {3},
pages = {223-231},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Estimation of polynomials in the regression model},
url = {http://eudml.org/doc/15241},
volume = {27},
year = {1982},
}
TY - JOUR
AU - Volaufová, Júlia
TI - Estimation of polynomials in the regression model
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 3
SP - 223
EP - 231
AB - Let $\mathbf {Y}$ be an $n$-dimensional random vector which is $N_n(\mathbf {A0,K})$ distributed. A minimum variance unbiased estimator is given for $f(o)$ provided $f$ is an unbiasedly estimable functional of an unknown $k$-dimensional parameter $\mathbf {0}$.
LA - eng
KW - estimation of polynomials; regression model; general linear model; BLUE; unbiased estimate; generalized Hermitian polynomial; estimation of polynomials; regression model; general linear model; BLUE; unbiased estimate; generalized Hermitian polynomial
UR - http://eudml.org/doc/15241
ER -
References
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- F. Štulajter, Nonlinear Estimators of Polynomials in Mean Values of a Gaussian Stochastic Process, Kybernetika 14 (1978), 3, 206-220. (1978) MR0506650
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