Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 102-107
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J. J. Mačys. Sharpness of bounds of stability for Raikov's theorem. Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 102-107. http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a9/
@article{ZNSL_1976_61_a9,
author = {J. J. Ma\v{c}ys},
title = {Sharpness of bounds of stability for {Raikov's} theorem},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {102--107},
year = {1976},
volume = {61},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a9/}
}
TY - JOUR
AU - J. J. Mačys
TI - Sharpness of bounds of stability for Raikov's theorem
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1976
SP - 102
EP - 107
VL - 61
UR - http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a9/
LA - ru
ID - ZNSL_1976_61_a9
ER -
%0 Journal Article
%A J. J. Mačys
%T Sharpness of bounds of stability for Raikov's theorem
%J Zapiski Nauchnykh Seminarov POMI
%D 1976
%P 102-107
%V 61
%U http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a9/
%G ru
%F ZNSL_1976_61_a9
An example is constructed to show that the bounds of stability in the Raikov theorem on the decomposition of the Poisson law cannot be better than $O(\log\log\frac{1}{\varepsilon}/\log\frac{1}{\varepsilon})^2$.
