Renewal theory for asymmetric $U$-statistics
Copyright policy )Renewal theory for asymmetric $U$-statistics
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.
28 pages
- Uppsala University Sweden
Functional limit theorems; invariance principles, Probability (math.PR), 60F05, 60F17, 60K05, Renewal theory, $U$-statistics, Central limit and other weak theorems, \(U\)-statistics, functional limit theorems, 60K05, 60F17, 60F05, FOS: Mathematics, Sannolikhetsteori och statistik, U-statistics, Probability Theory and Statistics, renewal theory, Mathematics - Probability
Functional limit theorems; invariance principles, Probability (math.PR), 60F05, 60F17, 60K05, Renewal theory, $U$-statistics, Central limit and other weak theorems, \(U\)-statistics, functional limit theorems, 60K05, 60F17, 60F05, FOS: Mathematics, Sannolikhetsteori och statistik, U-statistics, Probability Theory and Statistics, renewal theory, Mathematics - Probability
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