Strong laws of large numbers for negatively dependent random elements

DOI10.1016/S0362-546X(97)00279-4zbMath0901.60016MaRDI QIDQ4379867

Robert Lee Taylor, Ronald Frank Patterson

Publication date: 24 November 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spacecompact setweakly negatively dependent random elements

Mathematics Subject Classification ID

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

Related Items (7)

On the complete convergence for pairwise negatively quadrant dependent random variables ⋮ Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables ⋮ The Kolmogrov–Feller type weak law of large numbers for APND random variables ⋮ Strong laws of large numbers for WAPND Banach-valued random elements ⋮ Complete convergence theorems for normed row sums from an array of rowwise pairwise negative quadrant dependent random variables with application to the dependent bootstrap. ⋮ On a weak law of large numbers with regularly varying normalizing sequences ⋮ Universal consistency of delta estimators

Cites Work

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• Strong laws of large numbers for arrays of row-wise independent random elements
• Stochastic convergence of weighted sums in normed linear spaces
• An elementary proof of the strong law of large numbers
• Negative dependence in banach spaces and laws of large numbers

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