On the Dependence of the Convergence Rate in the Strong Law of Large Numbers for Stationary Processes on the Rate of Decay of the Correlation Function
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Publication:3949735
DOI10.1137/1126078zbMath0488.60040OpenAlexW2014323353MaRDI QIDQ3949735
Publication date: 1982
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1126078
Related Items (11)
Exponent of convergence of a sequence of ergodic averages ⋮ Dynamical random walk on the integers with a drift ⋮ Almost everywhere convergence of ergodic series ⋮ Pointwise equidistribution with an error rate and with respect to unbounded functions ⋮ Fractional Poisson equations and ergodic theorems for fractional coboundaries ⋮ Pointwise ergodic theorems with rate and application to the CLT for Markov chains ⋮ Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces ⋮ Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces ⋮ POINTWISE ERGODIC THEOREMS WITH RATE WITH APPLICATIONS TO LIMIT THEOREMS FOR STATIONARY PROCESSES ⋮ Constructive approach to limit theorems for recurrent diffusive random walks on a strip ⋮ Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory
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