English

Renewal theory for asymmetric $U$-statistics

Probability 2018-04-17 v1

Abstract

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

Cite

@article{arxiv.1804.05509,
  title  = {Renewal theory for asymmetric $U$-statistics},
  author = {Svante Janson},
  journal= {arXiv preprint arXiv:1804.05509},
  year   = {2018}
}

Comments

28 pages

R2 v1 2026-06-23T01:24:25.918Z