A decomposition for some \(U\)-type statistics

DOI10.1007/BF02213738zbMath0837.60033OpenAlexW2332748372MaRDI QIDQ1908209

Cun-Hui Zhang, Henry Teicher

Publication date: 20 May 1996

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02213738

zbMATH Keywords

strong lawHermite polynomial\(U\)-type statisticsMarcinkiewicz- Zygmund type strong law

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• Unnamed Item
• Symmetric polynomials of random variables attracted to an infinitely divisible law
• Asymptotic distribution of symmetric statistics
• Stability of random variables and iterated logarithm laws for martingales and quadratic forms
• Convergence of self-normalized generalized \(U\)-statistics
• Moments of randomly stopped sums -- revisited
• The Law of the Iterated Logarithm for Empirical Distribution
• A Limit Theoerm for Random Variables with Infinite Moments

This page was built for publication: A decomposition for some \(U\)-type statistics