Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 175-187
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Ya. Yu. Nikitin. Large deviations and asymptotic efficiency of integral type statistics. I. Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 175-187. http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a13/
@article{ZNSL_1979_85_a13,
author = {Ya. Yu. Nikitin},
title = {Large deviations and asymptotic efficiency of integral type {statistics.~I}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {175--187},
year = {1979},
volume = {85},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a13/}
}
TY - JOUR
AU - Ya. Yu. Nikitin
TI - Large deviations and asymptotic efficiency of integral type statistics. I
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 175
EP - 187
VL - 85
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a13/
LA - ru
ID - ZNSL_1979_85_a13
ER -
%0 Journal Article
%A Ya. Yu. Nikitin
%T Large deviations and asymptotic efficiency of integral type statistics. I
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 175-187
%V 85
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a13/
%G ru
%F ZNSL_1979_85_a13
We obtain rough asymptotics for probabilities of large deviations of $\omega^2$-type integral statistics and their analogues for Poisson sample size. An approach due to Sanov is used so that this asymptotics depend on a solution of some extremal problem. The latter is solved with the aid of bifurcation theory.
