On the a.s. Cesàro-\(\alpha\) convergence for stationary or orthogonal random variables
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Publication:1825507
DOI10.1007/BF01051879zbMath0684.60014MaRDI QIDQ1825507
Publication date: 1989
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
counterexampleCesàro-\(\alpha \) convergences of stationary sequencesmeasure- preserving transformations
Related Items (11)
On \((C,\alpha)\)-summability almost everywhere of certain sequences ⋮ On the dependence of the limit functions on the random parameters in random ergodic theorems ⋮ Modulated \((C,\alpha)\)-ergodic theorems with non-integral orders for Dunford-Schwartz operators ⋮ Multiparameter ratio ergodic theorems for semigroups ⋮ Almost everywhere convergence of multiple operator averages for affine semigroups ⋮ Convergence of the lacunary ergodic Cesàro averages ⋮ Criteria of divergence almost everywhere in ergodic theory ⋮ Fractional Poisson equations and ergodic theorems for fractional coboundaries ⋮ Some optimal pointwise ergodic theorems with rate ⋮ Nonlinear random ergodic theorems for affine operators ⋮ Almost everywhere convergence of weighted averages
Cites Work
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- Ergodic theorems. With a supplement by Antoine Brunel
- On the almost sure convergence, of order \(\alpha\) in the sense of Césaro, \(0<\alpha<1\), for independent and identically distributed random variables.
- Limiting behavior of weighted sums of independent random variables
- Borel and Banach properties of methods of summation
- Summability Methods for Independent, Identically Distributed Random Variables
- Shorter Notes: Convergence of Averages of Point Transformations
- On multipliers preserving convergence of trigonometric series almost everywhere
- A Class of Linear Transformations
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