Maximal inequalities for \(N\)-demimartingale and strong law of large numbers

DOI10.1016/j.spl.2011.04.018zbMath1223.60019OpenAlexW2071757577MaRDI QIDQ553083

B. L. S. Prakasa Rao, Shuhe Hu, Wenzhi Yang, Xue-jun Wang

Publication date: 26 July 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.04.018

zbMATH Keywords

strong law of large numbersgrowth rate\(N\)-demimartingale\(N\)-demisupermartingaleintegrability of supremum

Mathematics Subject Classification ID

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

Related Items (6)

Some inequalities for demimartingales and \(N\)-demimartingales ⋮ Chow-type maximal inequality for conditional demimartingales and its applications ⋮ On a general approach to the strong laws of large numbers ⋮ On some maximal inequalities for demimartingales and \(N\)-demimartingales based on concave Young functions ⋮ A Note on a Law of Iterated Logarithm for Bounded $N$-Demimartingales ⋮ Some results for demimartingales and \(N\)-demimartingales

Cites Work

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• On extending the Brunk-Prokhorov strong law of large numbers for martingale differences
• Doob's type inequality and strong law of large numbers for demimartingales
• Maximal inequalities for demimartingales and their applications
• Maximal inequalities for associated random variables and demimartingales.
• Maximal inequalities for demimartingales and a strong law of large numbers
• Associated random variables and martingale inequalities
• A General Approach to the Strong Law of Large Numbers
• Whittle type inequality for demisubmartingales

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