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arXiv:1804.05509 [math.PR]AbstractReferencesReviewsResources

Renewal theory for asymmetric $U$-statistics

Svante Janson

Published 2018-04-16Version 1

We extend a functional limit theorem for symmetric $U$-statistics [Miller and Sen, 1972] to asymmetric $U$-statistics, and use this to show some renewal theory results for asymmetric $U$-statistics. Some applications are given.

Comments: 28 pages
Categories: math.PR
Subjects: 60F05, 60F17, 60K05
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