Decrease rate of the probabilities of \(\varepsilon\)-deviations for the means of stationary processes

DOI10.1007/BF02314839zbMath0930.60027MaRDI QIDQ1290808

V. F. Gaposhkin

Publication date: 31 January 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersarithmetic means of stationary processesprobability of deviationstochastic spectral measure

Mathematics Subject Classification ID

Stationary stochastic processes (60G10)

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

Cites Work

• The rate of convergence in ergodic theorems
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