Moment inequalities and convergence rates in the strong laws for \(\rho^-\)-mixing random fields

DOI10.1007/S10910-005-9028-YzbMath1100.60013OpenAlexW1973027657MaRDI QIDQ2503727

Guang-Hui Cai

Publication date: 22 September 2006

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-005-9028-y

zbMATH Keywords

Rosenthal type inequalitycomplete convergence rates

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items (1)

Almost sure convergence for self-normalized products of sums of partial sums of ρ¯-mixing sequences

Cites Work

• Almost-sure results for a class of dependent random variables
• Classical and quantum study of the motion of a particle in a gravitational field
• Maximum of partial sums and an invariance principle for a class of weak dependent random variables
• STRONG LAWS OF LARGE NUMBERS FOR ASYMPTOTICALLY QUADRANT INDEPENDENT RANDOM FIELDS
• A functional central limit theorem for asymptotically negatively dependent random fields
• A weak convergence for negatively associated fields

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