Some limit theorems for weighted sums of random variable fields

DOI10.1007/BF02832114zbMath1106.60004MaRDI QIDQ3415253

Shixin Gan, Ping Yan Chen

Publication date: 16 January 2007

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersBanach space of type \(p\)\(L^r\) convergencemultidimensional indexmartingale difference array

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

Cites Work

• Strong laws of large numbers for fields of Banach space valued random variables
• Weak consistency of least-squares estimators in linear models
• A law of the iterated logarithm for double arrays of independent random variables with applications to regression and time series models
• The weak law of large numbers for arrays
• On the strong law of large numbers and the law of the logarithm for weighted sums of independent random variables with multidimensional indices
• Weak law of large numbers for arrays of random variables
• The increments of partial sums of a dependent sequence when the moment generating functions do not exist
• Linear representation of M-estimates in linear models
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