Strong law of large numbers for weighted \(U\)-statistics: Application to incomplete \(U\)-statistics

DOI10.1016/j.spl.2012.03.010zbMath1239.62056OpenAlexW1607762543MaRDI QIDQ426718

Masoud M. Nasari

Publication date: 11 June 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2012.03.010

zbMATH Keywords

incomplete U-statisticsreduction scheme

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)

Related Items (1)

On the consistency of incomplete U-statistics under infinite second-order moments

Cites Work

• Asymptotic distributions of weighted \(U\)-statistics of degree 2
• Asymptotic normality of permutation statistics derived from weighted sums of bivariate functions
• Large sample theory for U-statistics and tests of fit
• Weak invariance principles for weighted \(U\)-statistics
• Asymptotic distributions for weighted \(U\)-statistics
• Some properties of incomplete U-statistics
• Convergence of weighted averages of independent random variables
• On the asymptotic behavior of weighted \(U\)-statistics
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