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
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@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},
publisher = {mathdoc},
volume = {61},
year = {1976},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a2/ %G ru %F ZNSL_1976_61_a2
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/