2 papers
math.PR2023
On the tradeoff between almost sure error tolerance and mean deviation frequency in martingale convergence
Luisa F. Estrada, Michael A. Högele, Alexander Steinicke
In this article we quantify almost sure martingale convergence theorems in terms of the tradeoff between asymptotic almost sure rates of convergence (error tolerance) and the respe…
math.PR2022
Moment estimates in the first Borel-Cantelli Lemma with applications to mean deviation frequencies
Luisa F. Estrada, Michael A. Högele
We quantify the elementary Borel-Cantelli Lemma by higher moments of the overlap count statistic in terms of the weighted summability of the probabilities. Applications include mea…