Orthonormal Banach systems with applications to linear processes

DOI10.1007/BF00534870zbMath0573.60040MaRDI QIDQ3692557

Tze Leung Lai, Ching-Zong Wei

Publication date: 1985

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

spectral densitymartingale difference sequencesBanach systemconvergence systemorthogonal Banach systems

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Convergence systems and strong consistency of least squares estimates in regression models
• Lacunary systems and generalized linear processes
• Distribution function inequalities for martingales
• Ein Satz über Fouriersche Reihen mit Lücken
• A view of three decades of linear filtering theory
• Moment inequalities for S n under general dependence restrictions, with applications
• Independent Sequences with the Stein Property
• LACUNARY SERIES AND INDEPENDENT FUNCTIONS
• Martingale Extensions of a Theorem of Marcinkiewicz and Zygmund
• Approximation Methods which Converge with Probability one