Decrease rate of the probabilities of \(\varepsilon\)-deviations for the means of stationary processes
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Publication:1290808
DOI10.1007/BF02314839zbMath0930.60027MaRDI QIDQ1290808
Publication date: 31 January 2000
Published in: Mathematical Notes (Search for Journal in Brave)
strong law of large numbersarithmetic means of stationary processesprobability of deviationstochastic spectral measure
Related Items (10)
Bernstein functions and rates in mean ergodic theorems for operator semigroups ⋮ Randomized consistent statistical inference for random processes and fields ⋮ Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time ⋮ Uniform convergence on subspaces in the von Neumann ergodic theorem with discrete time ⋮ Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems ⋮ Interrelation between the convergence rates in von Neumann's and Birkhoff's ergodic theorems ⋮ Fejér sums for periodic measures and the von Neumann ergodic theorem ⋮ Measuring the rate of convergence in the Birkhoff ergodic theorem ⋮ Estimates of the entropy of the set of means for some classes of stationary and quasistationary sequences ⋮ Zero-one law for the rates of convergence in the Birkhoff ergodic theorem with continuous time
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