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2018 Renewal theory for asymmetric $U$-statistics
Svante Janson
Electron. J. Probab. 23: 1-27 (2018). DOI: 10.1214/18-EJP252

Abstract

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.

Citation

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Svante Janson. "Renewal theory for asymmetric $U$-statistics." Electron. J. Probab. 23 1 - 27, 2018. https://doi.org/10.1214/18-EJP252

Information

Received: 16 April 2018; Accepted: 27 November 2018; Published: 2018
First available in Project Euclid: 21 December 2018

zbMATH: 07021685
MathSciNet: MR3896866
Digital Object Identifier: 10.1214/18-EJP252

Subjects:
Primary: 60F05
Secondary: 60F17, 60K05

JOURNAL ARTICLE
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Vol.23 • 2018
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