Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws

The convergence rate in the famous Rényi theorem is studied by means of the Stein method refinement. Namely, it is demonstrated that the new estimate of the convergence rate of the normalized geometric sums to exponential law involving the ideal probability metric of the second order is sharp. Some...

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Bibliographic Details
Main Authors: Alexander Bulinski, Nikolay Slepov
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/24/4747

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