Abstract
We establish new nonuniform estimates of the convergence rate to the exponential distribution in the boundary theorem for geometric sums. We give examples of their application to extrema of regenerative random birth and death processes.
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Akbash, K., Doronina, N. & Matsak, I. Estimates of the convergence rate in a limit theorem for geometric sums and some of their applications. Lith Math J 63, 117–137 (2023). https://doi.org/10.1007/s10986-023-09597-w
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DOI: https://doi.org/10.1007/s10986-023-09597-w