A remark on strong law of large numbers for weighted \(U\)-statistics

DOI10.1007/S10114-014-1601-5zbMath1304.60038OpenAlexW1981290866MaRDI QIDQ741244

De Li Li, Mei Ling Huang, Hyung-Tae Ha

Publication date: 11 September 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-1601-5

zbMATH Keywords

complete convergencestrong law of large numbersweighted \(U\)-statistics

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

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• Asymptotic distributions of weighted \(U\)-statistics of degree 2
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• A strong law for weighted sums of i.i.d. random variables
• Marcinkiewicz strong laws for linear statistics
• Approximation Theorems of Mathematical Statistics
• Almost sure representations of weightedU-statistics with applications
• Almost sure convergence theorems of weighted sums of random variables
• Limiting Behavior of Posterior Distributions when the Model is Incorrect
• Complete Convergence and the Law of Large Numbers
• A Class of Statistics with Asymptotically Normal Distribution
• The Theory of Unbiased Estimation
• On the asymptotic behavior of weighted \(U\)-statistics

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