Criteria for the Strong Law of Large Numbers for Some Classes of Second-Order Stationary Processes and Homogeneous Random Fields
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Publication:4157343
DOI10.1137/1122034zbMath0377.60033OpenAlexW2074526536MaRDI QIDQ4157343
Publication date: 1977
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1122034
Related Items (17)
Laws of large numbers for periodically and almost periodically correlated processes ⋮ Ergodic properties of stationary stable processes ⋮ A note on autocovariance estimation in the presence of discrete spectra ⋮ Strong law of large numbers for weakly harmonizable processes ⋮ Moment estimator for an AR(1) model driven by a long memory Gaussian noise ⋮ Strong law of large numbers for functionals of random fields with unboundedly increasing covariances ⋮ Almost everywhere convergence of multiple operator averages for affine semigroups ⋮ Lacunary systems and generalized linear processes ⋮ On the almost everywhere convergence of ergodic averages for power- bounded operators on \(L^ p\) subspaces ⋮ Interrelation between the convergence rates in von Neumann's and Birkhoff's ergodic theorems ⋮ Pseudospectral Operators and the Pointwise Ergodic Theorem ⋮ On convergence rates of averages of weakly dependent random variables ⋮ Some theorems related to almost sure convergence of orthogonal series ⋮ On the almost sure convergence of some ergodic means ⋮ Strong laws of large numbers for quasi-stationary random fields ⋮ Spectral criteria, SLLN's and a.s. convergence of series of stationary variables ⋮ On the product of two harmonizable time series
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