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Teor. Veroyatnost. i Primenen., 1963, Volume 8, Issue 4, Pages 463–470 (Mi tvp4693)  

Short Communications

On Higher Order Spectral Measures of Ergodic Stationary Processes

Ya. G. Sinai

Moscow

Abstract: In this paper some necessary conditions for the ergodicity of stationary processes belonging to the Fortet class [4] are given in terms of higher order spectral moments. These conditions lead to some new ergodic theorems for such processes and to the fact that certain spectral measures uniquely determine the corresponding processes.

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English version:
Theory of Probability and its Applications, 1963, 8:4, 429–436

Document Type: Article
Received: 26.05.1962

Citation: Ya. G. Sinai, “On Higher Order Spectral Measures of Ergodic Stationary Processes”, Teor. Veroyatnost. i Primenen., 8:4 (1963), 463–470; Theory Probab. Appl., 8:4 (1963), 429–436

Citation in format AMSBIB
\Bibitem{Sin63}
\by Ya.~G.~Sinai
\paper On Higher Order Spectral Measures of Ergodic Stationary Processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1963
\vol 8
\issue 4
\pages 463--470
\mathnet{http://mi.mathnet.ru/tvp4693}
\transl
\jour Theory Probab. Appl.
\yr 1963
\vol 8
\issue 4
\pages 429--436
\crossref{https://doi.org/10.1137/1108048}


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