V. A. Baikov, N. K. Bakirov, A. A. Yakovlev, “Asymptotic behavior of the variogramm at zero”, Ufimsk. Mat. Zh., 2:3 (2010), 10

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Ufimskii Matematicheskii Zhurnal, 2010, Volume 2, Issue 3, Pages 10–16 (Mi ufa58)

Asymptotic behavior of the variogramm at zero

V. A. Baikov^a, N. K. Bakirov^b, A. A. Yakovlev^a

^a UfaNIPI, Ufa, Russia
^b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia

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Abstract: It is known, that the second derivative of the covariance function at zero plays a great role in topology and geometry of stationary random fields. Due to external information about a realization of a stochastic function, applied sciences face the problem of taking it into consideration, in particular, by specifying its power-mode behavior at zero. The given work suggests a model of a given asymptotic behavior.

Keywords: geostochastic modelling, the spectral theory of stationary random fields, Euler characteristic, fractal dimension.

Received: 07.06.2010

Bibliographic databases:

Document Type: Article

UDC: 519.2

Language: Russian

Citation: V. A. Baikov, N. K. Bakirov, A. A. Yakovlev, “Asymptotic behavior of the variogramm at zero”, Ufimsk. Mat. Zh., 2:3 (2010), 10–16

Citation in format AMSBIB

\Bibitem{BaiBakYak10}

\by V.~A.~Baikov, N.~K.~Bakirov, A.~A.~Yakovlev

\paper Asymptotic behavior of the variogramm at zero

\jour Ufimsk. Mat. Zh.

\yr 2010

\vol 2

\issue 3

\pages 10--16

\mathnet{http://mi.mathnet.ru/ufa58}

\zmath{https://zbmath.org/?q=an:1240.65004}

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https://www.mathnet.ru/eng/ufa/v2/i3/p10

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Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	507
Full-text PDF :	195
References:	60
First page:	2

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