An estimate of the integral of the module of a generalized Poisson distribution characteristic function in a small length interval
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 240-249
Voir la notice de l'article provenant de la source Math-Net.Ru
In the note new estimates for the integrals of generalized Poisson distribution characteristic function in intervals of sufficient small length are obtained. The typical applications of such estimates are the following: the evaluation of a convergence rate of moments in the CLT, estimates of concentration functions, local limit theorems.
@article{ZNSL_1999_260_a15,
author = {L. V. Rozovskii},
title = {An estimate of the integral of the module of a generalized {Poisson} distribution characteristic function in a small length interval},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {240--249},
publisher = {mathdoc},
volume = {260},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a15/}
}
TY - JOUR AU - L. V. Rozovskii TI - An estimate of the integral of the module of a generalized Poisson distribution characteristic function in a small length interval JO - Zapiski Nauchnykh Seminarov POMI PY - 1999 SP - 240 EP - 249 VL - 260 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a15/ LA - ru ID - ZNSL_1999_260_a15 ER -
%0 Journal Article %A L. V. Rozovskii %T An estimate of the integral of the module of a generalized Poisson distribution characteristic function in a small length interval %J Zapiski Nauchnykh Seminarov POMI %D 1999 %P 240-249 %V 260 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a15/ %G ru %F ZNSL_1999_260_a15
L. V. Rozovskii. An estimate of the integral of the module of a generalized Poisson distribution characteristic function in a small length interval. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 240-249. http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a15/