Estimates for probabilities of independent events and infinite series
Probability
2016-09-29 v1
Abstract
This paper deals with (finite or infinite) sequences of arbitrary independent events in some probability space. We find sharp lower bounds for the probability of a union of such events when the sum of their probabilities is given. The results have parallel meanings in terms of infinite series.
Cite
@article{arxiv.1609.08924,
title = {Estimates for probabilities of independent events and infinite series},
author = {Jürgen Grahl and Shahar Nevo},
journal= {arXiv preprint arXiv:1609.08924},
year = {2016}
}
Comments
15 pages