Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 529-536
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V. F. Gaposhkin. Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities. Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 529-536. http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a7/
@article{MZM_1976_20_4_a7,
author = {V. F. Gaposhkin},
title = {Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities},
journal = {Matemati\v{c}eskie zametki},
pages = {529--536},
year = {1976},
volume = {20},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a7/}
}
TY - JOUR
AU - V. F. Gaposhkin
TI - Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities
JO - Matematičeskie zametki
PY - 1976
SP - 529
EP - 536
VL - 20
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a7/
LA - ru
ID - MZM_1976_20_4_a7
ER -
%0 Journal Article
%A V. F. Gaposhkin
%T Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities
%J Matematičeskie zametki
%D 1976
%P 529-536
%V 20
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a7/
%G ru
%F MZM_1976_20_4_a7
Necessary (in some cases also sufficient) conditions are obtained for convergence of the series $\sum a_nS_n$ where $S_n=\sum_1^n\xi_k$, $\xi_k$ are independent random quantities. The cases in which $\xi_k$ are symmetrical or identically distributed quantities are investigated in more detail.
