On the strong law of large numbers for weighted sums of random variables
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Publication:2429075
DOI10.1016/J.CAMWA.2011.10.018zbMath1238.60040OpenAlexW2055995995MaRDI QIDQ2429075
Publication date: 22 April 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.018
strong law of large numbersdependent random variablesweighted sumsintegral representation for series
Related Items (10)
Some strong limit theorems for weighted sums of measurable operators ⋮ On relative stability and weighted laws of large numbers ⋮ Generalized Marcinkiewicz Laws for Weighted Dependent Random Vectors in Hilbert Spaces ⋮ On the strong laws of large numbers for weighted sums of random variables ⋮ On the almost sure convergence for sums of negatively superadditive dependent random vectors in Hilbert spaces and its application ⋮ Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables ⋮ On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application ⋮ Strong limit theorems for weighted sums of random elements in Banach spaces ⋮ On the Jajte strong law of large numbers ⋮ On strong law of large numbers and growth rate for a class of random variables
Cites Work
- On strong law of large numbers for dependent random variables
- Strong limit theorems for weighted sums of negatively associated random variables
- Moment inequality for \(\varphi \)-mixing sequences and its applications
- A note on the almost sure convergence of sums of negatively dependent random variables
- Maximal inequalities and an invariance principle for a class of weakly dependent random variables
- Strong laws of large numbers for \(\tilde \rho \)-mixing random variables
- Convergence of weighted averages of random variables revisited
- Convergence of weighted averages of independent random variables
- On the strong law of large numbers
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