Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 25-37
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A. A. Zinger. An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter. Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 25-37. http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a2/
@article{ZNSL_1976_61_a2,
author = {A. A. Zinger},
title = {An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {25--37},
year = {1976},
volume = {61},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a2/}
}
TY - JOUR
AU - A. A. Zinger
TI - An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1976
SP - 25
EP - 37
VL - 61
UR - http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a2/
LA - ru
ID - ZNSL_1976_61_a2
ER -
%0 Journal Article
%A A. A. Zinger
%T An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter
%J Zapiski Nauchnykh Seminarov POMI
%D 1976
%P 25-37
%V 61
%U http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a2/
%G ru
%F ZNSL_1976_61_a2
An estimate of stability is obtained in a theorem on characterizing the normal law by the property of sufficiency of the sample mean as an estimate of the location parameter in the presence of a nuisance scale parameter when the loss function is quadratic.
