Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 525-546
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B. Ya. Levit. Minimax estimation and positive solutions of elliptic equations. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 525-546. http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a9/
@article{TVP_1982_27_3_a9,
author = {B. Ya. Levit},
title = {Minimax estimation and positive solutions of elliptic equations},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {525--546},
year = {1982},
volume = {27},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a9/}
}
TY - JOUR
AU - B. Ya. Levit
TI - Minimax estimation and positive solutions of elliptic equations
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1982
SP - 525
EP - 546
VL - 27
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a9/
LA - ru
ID - TVP_1982_27_3_a9
ER -
%0 Journal Article
%A B. Ya. Levit
%T Minimax estimation and positive solutions of elliptic equations
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1982
%P 525-546
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a9/
%G ru
%F TVP_1982_27_3_a9
The paper explores the link between the optimal estimates of the classical estimation theory and the positive solutions of elliptic differential equations first revealed in [1]–[2]. The results of [1]–[2] are extended in two directions: i) they involve the general non-Gaussian case, ii) they are pertaining to a larger class of risk functions.
