Geodesic
On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations
Lívia Leššová1 ; Ján Mačutek2 ; Lívia Leššová ; Ján Mačutek
1Department of Applied Mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava
2Mathematical Institute Slovak Academy of Sciences, Štefánikova 49, Bratislava, Slovakia
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 351-359 
Lívia Leššová; Ján Mačutek; Lívia Leššová; Ján Mačutek. On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 351-359. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a13/
@article{AMUC_2020_89_2_a13,
     author = {L{\'\i}via Le\v{s}\v{s}ov\'a and J\'an Ma\v{c}utek and L{\'\i}via Le\v{s}\v{s}ov\'a and J\'an Ma\v{c}utek},
     title = { On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {351--359},
     year = {2020},
     volume = {89},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a13/}
}
TY  - JOUR
AU  - Lívia Leššová
AU  - Ján Mačutek
AU  - Lívia Leššová
AU  - Ján Mačutek
TI  - On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations
JO  - Acta mathematica Universitatis Comenianae
PY  - 2020
SP  - 351
EP  - 359
VL  - 89
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a13/
ID  - AMUC_2020_89_2_a13
ER  - 
%0 Journal Article
%A Lívia Leššová
%A Ján Mačutek
%A Lívia Leššová
%A Ján Mačutek
%T On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations
%J Acta mathematica Universitatis Comenianae
%D 2020
%P 351-359
%V 89
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a13/
%F AMUC_2020_89_2_a13

Voir la notice de l'article provenant de la source Comenius University

Bivariate partial-sums discrete probability distributions are defined. The question of the existence of a limit distribution for iterated partial summations is solved for finite-support bivariate distributions which satisfy conditions under which the power method (known from matrix theory) can be used. Examples of both a converging sequence of distributions, with its limit, and an oscillating sequence which does not converge are presented.