Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part II, Tome 79 (1978), pp. 38-43
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M. S. Nikulin. On S. U. Bernstein's regularity type conditions in a problem of empirical Bayes approach. Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part II, Tome 79 (1978), pp. 38-43. http://geodesic.mathdoc.fr/item/ZNSL_1978_79_a3/
@article{ZNSL_1978_79_a3,
author = {M. S. Nikulin},
title = {On {S.} {U.~Bernstein's} regularity type conditions in a~problem of empirical {Bayes} approach},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {38--43},
year = {1978},
volume = {79},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_79_a3/}
}
TY - JOUR
AU - M. S. Nikulin
TI - On S. U. Bernstein's regularity type conditions in a problem of empirical Bayes approach
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1978
SP - 38
EP - 43
VL - 79
UR - http://geodesic.mathdoc.fr/item/ZNSL_1978_79_a3/
LA - ru
ID - ZNSL_1978_79_a3
ER -
%0 Journal Article
%A M. S. Nikulin
%T On S. U. Bernstein's regularity type conditions in a problem of empirical Bayes approach
%J Zapiski Nauchnykh Seminarov POMI
%D 1978
%P 38-43
%V 79
%U http://geodesic.mathdoc.fr/item/ZNSL_1978_79_a3/
%G ru
%F ZNSL_1978_79_a3
It is proved that the aposteriorl distribution of a random success probability $X$ in the binomial scheme can be approximated by a suitable beta-distrubution if the number $n$ of trials tends to infinity and an apriori density function of $X$ belongs to $L^r[0,1]$ for some $r\geq1$.
