Doob's type inequality and strong law of large numbers for demimartingales

DOI10.1155/2010/838301zbMath1197.60021OpenAlexW2036022721WikidataQ59250163 ScholiaQ59250163MaRDI QIDQ962533

Ting Zhao, Wenzhi Yang, Shuhe Hu, Xue-jun Wang

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231897

Mathematics Subject Classification ID

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

Related Items (8)

New maximal inequalities for reverse demimartingales and reverse demisubmartingales ⋮ Maximal \(\phi\)-inequalities for demimartingales ⋮ Some inequalities for demimartingales and \(N\)-demimartingales ⋮ Chow-type maximal inequality for conditional demimartingales and its applications ⋮ Maximal inequalities for \(N\)-demimartingale and strong law of large numbers ⋮ On some maximal inequalities for demimartingales and \(N\)-demimartingales based on concave Young functions ⋮ Functional convergence for moving averages with heavy tails and random coefficients ⋮ 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
• The Hàjek-Rènyi-type inequality for associated random variables
• Maximal inequalities for associated random variables and demimartingales.
• Maximal inequalities for demimartingales and a strong law of large numbers
• A Martingale Inequality and the Law of Large Numbers
• Associated random variables and martingale inequalities
• A General Approach to the Strong Law of Large Numbers
• Measure Theory and Probability Theory

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