Strassen's law of the iterated logarithm for negatively associated random vectors.

DOI10.1016/S0304-4149(01)00107-7zbMath1059.60042MaRDI QIDQ1766006

Zhang, Lixin

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

law of the iterated logarithmnegative association\(m\)-weak negative association

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (13)

A Nonclassical Law of the Iterated Logarithm for Functions of Negatively Associated Random Variables ⋮ \(L_p\)-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in \(\mathbb{R}^d\) ⋮ Determinantal probability measures ⋮ Rosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications ⋮ Law of iterated logarithm for NA sequences with non-identical distributions ⋮ Strong limit theorems for extended independent random variables and extended negatively dependent random variables under sub-linear expectations ⋮ On the complete convergence for sequences of random vectors in Hilbert spaces ⋮ A note on complete moment convergence for coordinatewise negatively associated random vectors in Hilbert spaces ⋮ On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces ⋮ A nonclassical law of iterated logarithm for negatively associated random variables ⋮ A law of the iterated logarithm for geometrically weighted series of negatively associated random variables. ⋮ Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination ⋮ Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm

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• A comparison theorem on moment inequalities between negatively associated and independent random variables
• The law of iterated logarithm for negatively associated random variables
• Negative association of random variables, with applications
• A functional central limit theorem for asymptotically negatively dependent random fields

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