Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 574-583
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Е. A. Puhal'skiǐ. Minimal sufficient statistics for the normal models with an algebraic structure. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 574-583. http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a9/
@article{TVP_1981_26_3_a9,
author = {{\CYRE}. A. Puhal'skiǐ},
title = {Minimal sufficient statistics for the normal models with an algebraic structure},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {574--583},
year = {1981},
volume = {26},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a9/}
}
TY - JOUR
AU - Е. A. Puhal'skiǐ
TI - Minimal sufficient statistics for the normal models with an algebraic structure
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1981
SP - 574
EP - 583
VL - 26
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a9/
LA - ru
ID - TVP_1981_26_3_a9
ER -
%0 Journal Article
%A Е. A. Puhal'skiǐ
%T Minimal sufficient statistics for the normal models with an algebraic structure
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1981
%P 574-583
%V 26
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a9/
%G ru
%F TVP_1981_26_3_a9
For a normal linear mixed statistical structure with a special algebraic structure the simple complete and/or minimal sufficients statistics are obtained. A class of equivariant estimates of the model's parameters is described and the optimal (in this class) estimates are determined.