Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability
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Publication:2250309
DOI10.1186/1029-242X-2013-558zbMath1291.60053OpenAlexW2096243008WikidataQ59301963 ScholiaQ59301963MaRDI QIDQ2250309
Publication date: 7 July 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2013-558
uniform integrabilityweighted sumsnegatively associated random variablesmean convergenceweak laws of large numbersintegrability concerning the weightsnegatively quadrant dependent random variables
Cites Work
- Cesàro \(\alpha\)-integrability and laws of large numbers. II
- Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
- Cesàro \({\alpha}\)-integrability and laws of large numbers. I
- Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
- Negative association of random variables, with applications
- Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables
- Weak law of large numbers for arrays of random variables
- On the weak laws for arrays of random variables
- Laws of Large Numbers for Pairwise Independent Uniformly Integrable Random Variables
- WEAK LAWS OF LARGE NUMBERS FOR ARRAYS UNDER A CONDITION OF UNIFORM INTEGRABILITY
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