On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations
Probability
2019-03-11 v1
Abstract
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. An oscillating sequence of distributions, a phenomenon which has never been reported before, is presented.
Keywords
Cite
@article{arxiv.1903.03316,
title = {On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations},
author = {Lívia Leššova and Ján Mačutek},
journal= {arXiv preprint arXiv:1903.03316},
year = {2019}
}