Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables

DOI10.1590/S0001-37652006000400001zbMath1147.60310OpenAlexW2004675600WikidataQ51927675 ScholiaQ51927675MaRDI QIDQ3517696

Guang-Hui Cai

Publication date: 12 August 2008

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/s0001-37652006000400001

zbMATH Keywords

Marcinkiewicz-Zygmund strong laws\(\rho^*\)-mixingweighted sums

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (5)

Strong and weak convergence for asymptotically almost negatively associated random variables ⋮ A note on the rates of convergence for weighted sums of \(\rho^\ast\)-mixing random variables ⋮ On complete convergence for arrays of rowwise weakly dependent random variables ⋮ On the complete moment convergence for weighted sums of weakly dependent random variables ⋮ Further Study on the Marcinkiewicz Strong Laws for Linear Statistics of ρ^*-Mixing Sequences of Random Variables

Cites Work

• Almost-sure results for a class of dependent random variables
• Maximal inequalities and an invariance principle for a class of weakly dependent random variables
• A strong law for weighted sums of i.i.d. random variables
• On the asymptotic normality of sequences of weak dependent random variables
• Marcinkiewicz strong laws for linear statistics
• Moment Conditions for Almost Sure Convergence of Weakly Correlated Random Variables
• Maximum of partial sums and an invariance principle for a class of weak dependent random variables

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