A strong law of large numbers for weighted sums of i.i.d. random variables under capacities

DOI10.1155/2014/412758zbMath1442.60038OpenAlexW2068200754WikidataQ59051282 ScholiaQ59051282MaRDI QIDQ2336408

Defei Zhang, Ping He

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/412758

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

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• Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
• Limiting behavior of weighted sums of independent random variables
• Limit laws for non-additive probabilities and their frequentist interpretation
• On the limiting behavior of randomly weighted partial sums
• A strong law of large numbers for capacities
• A strong law for weighted sums of i.i.d. random variables
• On the strong convergence of a weighted sum
• Marcinkiewicz strong laws for linear statistics
• Law of large numbers and central limit theorem under nonlinear expectations
• A strong law of large numbers for non-additive probabilities
• Minimax tests and the Neyman-Pearson lemma for capacities
• Almost sure convergence theorems of weighted sums of random variables
• Testing and Characterizing Properties of Nonadditive Measures Through Violations of the Sure-Thing Principle
• Ambiguity, Risk, and Asset Returns in Continuous Time

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