I. A. Ibragimov, “On the Spectrum of Stationary Gaussian Sequences which Satisfy the Strong Mixing Condition. I. Necessary Conditions”, Teor. Veroyatnost. i Primenen., 10:1 (1965), 95–116; Theory Probab. Appl., 10:1 (1965), 85

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Teoriya Veroyatnostei i ee Primeneniya, 1965, Volume 10, Issue 1, Pages 95–116 (Mi tvp441)

This article is cited in 11 scientific papers (total in 12 papers)

On the Spectrum of Stationary Gaussian Sequences which Satisfy the Strong Mixing Condition. I. Necessary Conditions

I. A. Ibragimov

Leningrad

Full-text PDF (1068 kB) Citations (12)

Received: 26.06.1964

English version:
Theory of Probability and its Applications, 1965, Volume 10, Issue 1, Pages 85–106
DOI: https://doi.org/10.1137/1110008

Bibliographic databases:

Language: Russian

Citation: I. A. Ibragimov, “On the Spectrum of Stationary Gaussian Sequences which Satisfy the Strong Mixing Condition. I. Necessary Conditions”, Teor. Veroyatnost. i Primenen., 10:1 (1965), 95–116; Theory Probab. Appl., 10:1 (1965), 85–106

Citation in format AMSBIB

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\by I.~A.~Ibragimov

\paper On the Spectrum of Stationary Gaussian Sequences which Satisfy the Strong Mixing Condition. I.~Necessary Conditions

\jour Teor. Veroyatnost. i Primenen.

\yr 1965

\vol 10

\issue 1

\pages 95--116

\mathnet{http://mi.mathnet.ru/tvp441}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=174091}

\zmath{https://zbmath.org/?q=an:0131.18101}

\transl

\jour Theory Probab. Appl.

\yr 1965

\vol 10

\issue 1

\pages 85--106

\crossref{https://doi.org/10.1137/1110008}

Linking options:

https://www.mathnet.ru/eng/tvp441

https://www.mathnet.ru/eng/tvp/v10/i1/p95

Cycle of papers

On the Spectrum of Stationary Gaussian Sequences which Satisfy the Strong Mixing Condition. I. Necessary Conditions
I. A. Ibragimov
Teor. Veroyatnost. i Primenen., 1965, 10:1, 95–116
On the spectrum of stationary Gaussian sequences satisfying the strong mixing condition. II. Sufficient conditions. Mixing rate
I. A. Ibragimov
Teor. Veroyatnost. i Primenen., 1970, 15:1, 24–37

This publication is cited in the following 12 articles:

A. A. Borovkov, Al. V. Bulinski, A. M. Vershik, D. Zaporozhets, A. S. Holevo, A. N. Shiryaev, “Ildar Abdullovich Ibragimov (on his ninetieth birthday)”, Russian Math. Surveys, 78:3 (2023), 573–583
Shanchao Yang, Jiaying Xie, Shuyi Luo, Zhiyong Li, Xin Yang, “Moment inequalities for mixing long-span high-frequency data and strongly consistent estimation of OU integrated diffusion process”, J Inequal Appl, 2023:1 (2023)
Xavier Mestre, David Gregoratti, Peng Zhang, “Optimum Performance of Short Block Length Codes Under Multivariate Stationary Rayleigh Fading”, IEEE Trans. Wireless Commun., 19:3 (2020), 2122
Leighton P. Barnes, George C. Verghese, “Uniform FIR approximation of causal Wiener filters, with applications to causal coherence”, Signal Processing, 122 (2016), 129
Raymond Cheng, Charles B. Harris, “Mixed‐Norm Spaces and Prediction of SαS Moving Averages”, Journal Time Series Analysis, 36:6 (2015), 853
Holger Boche, Volker Pohl, “Rate of Convergence in Approximating the Spectral Factor of Regular Stochastic Sequences”, IEEE Trans. Inform. Theory, 55:12 (2009), 5674
Violetta Dalla, Javier Hidalgo, “A parametric bootstrap test for cycles”, Journal of Econometrics, 129:1-2 (2005), 219
Yannick Baraud, F. Comte, G. Viennet, “Model selection for (auto-)regression with dependent data”, ESAIM: PS, 5 (2001), 33
R. Cheng, M. Pourahmadi, “The mixing rate of a stationary multivariate process”, J Theor Probab, 6:3 (1993), 603
R Cheng, “Rational spectral densities and strong mixing”, Journal of Multivariate Analysis, 42:2 (1992), 267
V. V. Peller, S. V. Khrushchev, “Hankel operators, best approximations, and stationary Gaussian processes”, Russian Math. Surveys, 37:1 (1982), 61–144
I. A. Ibragimov, “On the spectrum of stationary Gaussian sequences satisfying the strong mixing condition. II. Sufficient conditions. Mixing rate”, Theory Probab. Appl., 15:1 (1970), 23–36

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

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