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Bivariate partial-sums discrete probability distributions are defined. Thequestion of the existence of a limit distribution for iterated partialsummations is solved for finite-support bivariate distributions which satisfyconditions under which the power method (known from matrix theory) can be used.An oscillating sequence of distributions, a phenomenon which has never beenreported before, is presented.

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