PreprintarXiv licencearXiv
Equi-dependence implying independence
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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BibTeX
@misc{pinelis2026equidependence,
title = {{Equi-dependence implying independence}},
author = {Iosif Pinelis},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.13559},
eprint = {2608.13559},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.13559},
}
RIS
TY - UNPB
TI - Equi-dependence implying independence
AU - Iosif Pinelis
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2608.13559
UR - https://arxiv.org/abs/2608.13559
AB - 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.
ER -