Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 2, pp. 422-426
Citer cet article
V. G. Mikhailov. Convergence to the Poisson process in a scheme of cummulative sums of dependent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 2, pp. 422-426. http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a18/
@article{TVP_1974_19_2_a18,
author = {V. G. Mikhailov},
title = {Convergence to the {Poisson} process in a~scheme of cummulative sums of dependent random variables},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {422--426},
year = {1974},
volume = {19},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a18/}
}
TY - JOUR
AU - V. G. Mikhailov
TI - Convergence to the Poisson process in a scheme of cummulative sums of dependent random variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1974
SP - 422
EP - 426
VL - 19
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UR - http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a18/
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%0 Journal Article
%A V. G. Mikhailov
%T Convergence to the Poisson process in a scheme of cummulative sums of dependent random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 422-426
%V 19
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a18/
%G ru
%F TVP_1974_19_2_a18
Using ideas of Theorem 1 [1], we find conditions for a sequence of processes, which are cumulative sums of indicators, to converge to a Poisson process.
