Strong laws of large numbers for triangular arrays of exchangeable random variables

Let be an array of row-wise exchangeable random elements in a separable Banach space. Strong laws of large numbers are obtained for under certain moment conditions on the random variables and a condition relating to nonorthogonality. By using reverse martingale techniques, similar results are obtain...

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Veröffentlicht in:Stochastic analysis and applications 1985-01, Vol.3 (2), p.171-187
Hauptverfasser: Frank Patterson, Ronald, Lee Taylor, Robert
Format: Artikel
Sprache:eng
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Zusammenfassung:Let be an array of row-wise exchangeable random elements in a separable Banach space. Strong laws of large numbers are obtained for under certain moment conditions on the random variables and a condition relating to nonorthogonality. By using reverse martingale techniques, similar results are obtained for triangular arrays of random elements inseparable Banach spaces which are row-wise exchangeable
ISSN:0736-2994
1532-9356
DOI:10.1080/07362998508809059