Negative dependence in banach spaces and laws of large numbers

DOI10.1016/S0362-546X(97)00186-7zbMath0901.60017MaRDI QIDQ4378932

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

negative dependencerandom elements in Banach spaces

Mathematics Subject Classification ID

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

Related Items (3)

The Kolmogrov–Feller type weak law of large numbers for APND random variables ⋮ Strong laws of large numbers for WAPND Banach-valued random elements ⋮ Strong laws of large numbers for negatively dependent random elements

Cites Work

• Classes of orderings of measures and related correlation inequalities. II. Multivariate reverse rule distributions
• Stochastic convergence of weighted sums in normed linear spaces
• The law of large numbers and the central limit theorem in Banach spaces
• Some Concepts of Dependence
• Association of Random Variables, with Applications
• A Multivariate Definition for Increasing Hazard Rate Distribution Functions
• Dependence and Aging Aspects of Multivariate Survival
• Relationships Among Some Concepts of Bivariate Dependence
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