On convergence of the accumulated insurance claim processes to the compound Poisson process

Convergence of the accumulated insurance claim processes is investigated when the number of clients of insurance company depeds on time. Conditions for convergence to the compound Poisson process in the function space D[0,∞) endowed with the Skorohod M1 and J1 topologies are obtained.

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Bibliographic Details
Main Author: Rimas Banys
Format: Article
Language:English
Published: Vilnius University Press 2005-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/29317
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