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arXiv · 2608.13559

Equi-dependence implying independence

Iosif Pinelis
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Abstract

It is shown that, if an event $A$ has the same conditional probability in each trial in an infinite sequence of Bernoulli trials, then $A$ is independent of each trial. More general results are actually established.

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Iosif Pinelis. 2026-08-13. Equi-dependence implying independence. https://arxiv.org/abs/2608.13559

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