Complete convergence theorems for \(L^{p}\)-mixingales.

DOI10.1016/j.jmaa.2003.09.076zbMath1040.60023OpenAlexW2053660870MaRDI QIDQ1426996

Hu, Yijun

Publication date: 14 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.076

zbMATH Keywords

complete convergence\({\mathcal L}^p\)-mixingale\(q\)-smooth Banach space

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15) Generalizations of martingales (60G48)

Related Items (2)

Mixing sequences, and mixingales in quantum probability spaces ⋮ Mixingales on Riesz spaces

Cites Work

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• Complete convergence of weighted sums of martingale differences
• Convergence rates in the strong law for bounded mixing sequences
• Complete convergence for \(\alpha{}\)-mixing sequences
• An \(L_ 1\)-convergence theorem for heterogeneous mixingale arrays with trending moments
• A maximal inequality and dependent strong laws
• On the invariance principle for nonstationary mixingales
• Complete convergence for \(B\)-valued \(L^p\)-mixingale sequences
• A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws
• A strong law of large numbers for triangular mixingale arrays
• On the convergence of weighted sums of \(L_q\)-mixingale arrays
• Ergodic properties of conditional forecast functions of stable systems
• Convergence rates of the strong law for stationary mixing sequences
• Basic structure of the asymptotic theory in dynamic nonlineaerco nometric models, part i: consistency and approximation concepts
• On operator-valued mixingales^∗
• An invariance principle for triangular arrays of dependent variables with application to autocovariance estimation
• A General Approach to the Strong Law of Large Numbers
• Strong laws of large numbers for dependent heterogeneous processes: a synthesis of recent and new results
• Strong Laws of Large Numbers for B-Valued L_q-Mixingale Sequences and the q-Smoothness of Banach Space
• Invariance principles for dependent variables
• Convergence Rates in the Law of Large Numbers
• The Probability in the Tail of a Distribution
• Complete Convergence and the Law of Large Numbers
• On complete convergence for \(L^p\)-mixingales
• An adaptive Metropolis algorithm

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