On the Accuracy of the Exponential Approximation to Random Sums of Alternating Random Variables

Using the generalized stationary renewal distribution (also called the equilibrium transform) for arbitrary distributions with a finite non-zero first moment, we prove moment-type error-bounds in the Kantorovich distance for the exponential approximation to random sums of possibly dependent random v...

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Bibliographic Details
Main Authors: Irina Shevtsova, Mikhail Tselishchev
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/11/1917