Limit distribution of the Banach random walk

DOI10.1007/s10959-018-0858-5zbMath1442.60022OpenAlexW2891906711WikidataQ129266774 ScholiaQ129266774MaRDI QIDQ1721903

Tadeusz Banek, Patrycja Jędrzejewska, August Michał Zapała

Publication date: 13 February 2019

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

Full work available at URL: https://doi.org/10.1007/s10959-018-0858-5

zbMATH Keywords

limit distributionBanach random walksupport of the measurequasi-orthogonal Schauder basis

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

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• Banach random walk in the unit ball \(S\subset l^{2}\) and chaotic decomposition of \(l^{2}( S,\mathbb {P})\)
• Random walk in balls and an extension of the Banach integral in abstract spaces
• Martingales in Banach Spaces

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