On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations

Lívia Leššova; Ján Mačutek

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arXiv · 1903.03316

On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations

Lívia Leššova·Ján Mačutek

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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.

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Lívia Leššova, Ján Mačutek. 2019-03-08. On the limit behaviour of finite-support bivariate discrete probability distributions under iterated partial summations. https://arxiv.org/abs/1903.03316

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