On the almost sure convergence, of order \(\alpha\) in the sense of Césaro, \(0<\alpha<1\), for independent and identically distributed random variables.
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Publication:1095489
DOI10.1007/BF00318787zbMath0632.60026MaRDI QIDQ1095489
Publication date: 1988
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Related Items (17)
Complete convergence and Cesàro summation for i.i.d. random variables ⋮ On \((C,\alpha)\)-summability almost everywhere of certain sequences ⋮ Complete convergence and almost sure convergence of weighted sums of random variables ⋮ Moyennes uniformes et moyennes suivant une marche aléatoire. (Uniform means and means according to a random walk) ⋮ A note on moments of the maximum of Cesàro summation ⋮ Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of random variables with infinite moment and its applications ⋮ Tauberian Korevaar ⋮ Almost sure limit behaviour of Cesàro sums with small order ⋮ An infinite-dimensional law of large numbers in Cesaro's sense ⋮ Cesàro summation for random fields ⋮ Baum-Katz type theorems for martingale arrays ⋮ A Marcinkiewicz-Zygmund type strong law for weighted sums of \(\phi \)-mixing random variables and its applications ⋮ Comportement asymptotique de sommes de cesàro aléatoires ⋮ Strong limit theorems for weighted sums of negatively associated random variables ⋮ On the a.s. Cesàro-\(\alpha\) convergence for stationary or orthogonal random variables ⋮ Hardy, Littlewood and probability ⋮ On Valiron means of \(B\)-valued random variables
Cites Work
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- Limiting behavior of weighted sums of independent random variables
- Borel and Banach properties of methods of summation
- Summability methods and almost sure convergence
- Summability Methods for Independent, Identically Distributed Random Variables
- Complete Convergence and the Law of Large Numbers
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