Convergence in ther-th mean and the Marcinkiewicz type weak law of large numbers for weighted sums ofL q-mixingale arrays

DOI10.1007/BF02903669zbMath1060.60021OpenAlexW2095576381MaRDI QIDQ4658051

Shixin Gan

Publication date: 14 March 2005

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02903669

zbMATH Keywords

convergence in probability\(L_r\) convergence\(L_q\)-mixingale arrayMarcinkiewicz type weak law of large numbers

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Cites Work

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• A maximal inequality and dependent strong laws
• On the invariance principle for nonstationary mixingales
• The law of large numbers and the central limit theorem in Banach spaces
• Convergence of weighted sums of random variables and uniform integrability concerning the weights
• On the convergence of weighted sums of \(L_q\)-mixingale arrays
• Basic structure of the asymptotic theory in dynamic nonlineaerco nometric models, part i: consistency and approximation concepts
• Invariance principles for dependent variables

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