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Teoriya Veroyatnostei i ee Primeneniya, 1963, Volume 8, Issue 4, Pages 463–470 (Mi tvp4693)  
This article is cited in 13 scientific papers (total in 14 papers)

Short Communications

On Higher Order Spectral Measures of Ergodic Stationary Processes

Ya. G. Sinai

Moscow
Full-text PDF (947 kB) Citations (14)
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.
Received: 26.05.1962
English version:
Theory of Probability and its Applications, 1963, Volume 8, Issue 4, Pages 429–436
DOI: https://doi.org/10.1137/1108048
Document Type: Article
Language: Russian
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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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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