Geodesic
On the existence of stationary sequences of $M$-orthogonal random variables with specified covariances
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 972-977 Cet article a éte moissonné depuis la source Math-Net.Ru

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Necessary and sufficient conditions are studied for a covariance matrix of finite size to be interpreted as a covariance matrix of a finite segment of an infinite stationary sequence of random variables.
Keywords: stationary sequence, $m$-dependent random variables
Mots-clés : covariance matrix. 
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I. S. Borisov. On the existence of stationary sequences of $M$-orthogonal random variables with specified covariances. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 972-977. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a19/

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[2] S.K. Godunov, A.G. Antonov, O.P. Kirilyuk, V.I. Kostin, Guaranteed accuracy of solving a system of linear equations in Euclidean spaces, Nauka, Novosibirsk, 1992 | MR | Zbl