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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 1, Pages 189–200
DOI: https://doi.org/10.4213/tvp2494 (Mi tvp2494) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Short Communications

Intrinsically Stationary Variograms in Space and Time

Ch. Ma

Department of Mathematics and Statiatics, Wichita State University
Full-text PDF (1548 kB) Citations (9)
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DOI: https://doi.org/10.4213/tvp2494
Abstract: This paper addresses the permissible problem of the product of two intrinsically stationary variograms and that of a power function of an intrinsically stationary variogram in space and time. It results in several new classes of space-time variograms, as well as power-law and other long-range dependent covariance models. In particular, the product of two isotropic variograms that are formulated in terms of Bernstein functions is shown to be a valid variogram, and the largest permissible power is determined for the power of an intrinsically stationary variogram that is constructed via the Bernstein function.
Keywords: Bernstein function, covariance function, Fourier transform, isotropy, long-range dependence, negative definite, power-law, stationary.
Received: 28.12.2007
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 1, Pages 145–155
DOI: https://doi.org/10.1137/S0040585X97983481
Bibliographic databases:
Document Type: Article
Language: English
Citation: Ch. Ma, “Intrinsically Stationary Variograms in Space and Time”, Teor. Veroyatnost. i Primenen., 53:1 (2008), 189–200; Theory Probab. Appl., 53:1 (2009), 145–155
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v53/i1/p189
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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