On Exponential Convergence of Random Variables

Fuente: arXiv
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Bibliographic Details
Main Author: Tarłowski, Dawid
Format: Preprint
Published: 2024
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author Tarłowski, Dawid
author_facet Tarłowski, Dawid
contents Given the discrete-time sequence of nonnegative random variables, general dependencies between the exponential convergence of the expectations, exponential convergence of the trajectories and the logarithmic growth of the corresponding expected hitting times are analysed. The applications are presented: the general results are applied to the areas of optimization, stochastic control and estimation.
format Preprint
id arxiv_https___arxiv_org_abs_2406_03644
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Exponential Convergence of Random Variables
Tarłowski, Dawid
Probability
Optimization and Control
Given the discrete-time sequence of nonnegative random variables, general dependencies between the exponential convergence of the expectations, exponential convergence of the trajectories and the logarithmic growth of the corresponding expected hitting times are analysed. The applications are presented: the general results are applied to the areas of optimization, stochastic control and estimation.
title On Exponential Convergence of Random Variables
topic Probability
Optimization and Control
url https://arxiv.org/abs/2406.03644