On the constants in the estimates of the rate of convergence in the Birkhoff ergodic theorem

DOI10.1134/S0001434612030340zbMath1370.37013MaRDI QIDQ2435985

A. G. Kachurovskii, V. V. Sedalishchev

Publication date: 21 February 2014

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

zbMATH Keywords

rates of convergencespectral measureergodic theoremcorrelation coefficients

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (3)

Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous 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

Cites Work

• Moment inequalities and the strong laws of large numbers

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