MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES

DOI10.4134/BKMS.2010.47.3.467zbMath1200.60009OpenAlexW1985854428MaRDI QIDQ3569686

Nguyen Duy Tien, Le Van Dung

Publication date: 21 June 2010

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/bkms.2010.47.3.467

zbMATH Keywords

weak law of large numbersdouble arrays of random elementsmartingale type \(p\) Banach spacesmean convergence theoremweighted double sums

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

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