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arXiv · 2406.03644

On Exponential Convergence of Random Variables

Dawid Tarłowski
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Abstract

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.

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Dawid Tarłowski. 2024-06-05. On Exponential Convergence of Random Variables. https://doi.org/10.4064/am2540-7-2024

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