Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part IV, Tome 98 (1980), pp. 98-114
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Yu. A. Koshevnik; B. Ya. Levit. The boundaries of risk in the problem of estimation of symmetrical distributions. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part IV, Tome 98 (1980), pp. 98-114. http://geodesic.mathdoc.fr/item/ZNSL_1980_98_a8/
@article{ZNSL_1980_98_a8,
author = {Yu. A. Koshevnik and B. Ya. Levit},
title = {The boundaries of risk in the problem of estimation of symmetrical distributions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {98--114},
year = {1980},
volume = {98},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1980_98_a8/}
}
TY - JOUR
AU - Yu. A. Koshevnik
AU - B. Ya. Levit
TI - The boundaries of risk in the problem of estimation of symmetrical distributions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1980
SP - 98
EP - 114
VL - 98
UR - http://geodesic.mathdoc.fr/item/ZNSL_1980_98_a8/
LA - ru
ID - ZNSL_1980_98_a8
ER -
%0 Journal Article
%A Yu. A. Koshevnik
%A B. Ya. Levit
%T The boundaries of risk in the problem of estimation of symmetrical distributions
%J Zapiski Nauchnykh Seminarov POMI
%D 1980
%P 98-114
%V 98
%U http://geodesic.mathdoc.fr/item/ZNSL_1980_98_a8/
%G ru
%F ZNSL_1980_98_a8
The modification of nonparametric information inequalities under the available additional information about the infinitedimentional estimated parameter, obtaind in [1], is considered. The common constructions are motived, in parfcicular, by the problems of estimation of distribution functions, which are invariant respect to different groups of transformations in $R^k$.
