Conditions of Local Nondeterminism of Differentiable Gaussian Stationary Processes

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Previous article Next article Conditions of Local Nondeterminism of Differentiable Gaussian Stationary ProcessesR. N. MiroshinR. N. Miroshinhttps://doi.org/10.1137/1122096PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Simeon M. Berman, Local nondeterminism and local times of Gaussian processes, Indiana Univ. Math. J., 23 (1973), 69–94 10.1512/iumj.1973.23.23006 MR0317397 0264.60024 CrossrefGoogle Scholar[2] Simeon M. Berman, Local nondeterminism and local times of Gaussian processes, Bull. Amer. Math. Soc., 79 (1973), 475–477 MR0317396 0259.60016 CrossrefGoogle Scholar[3] E. J. G. Pitman, On the behavior of the characteristic function of a probability distribution in the neighborhood of the origin, J. Austral. Math. Soc., 8 (1968), 423–443 MR0231423 0164.48502 CrossrefGoogle Scholar[4] R. N. Miroshin, Necessary conditions of finiteness of moments of the number of zeros of a differentiable Gaussian stationary process, Theory Prob. Applications, 19 (1974), 570–576 10.1137/1119064 0315.60020 LinkGoogle Scholar[5] R. N. Miroshin, A sufficient condition of the finiteness of moments of the number of zeros for a differentiable Gaussian stationary process, Theory Prob. Applications, 18 (1973), 454–463 10.1137/1118060 0292.60057 LinkGoogle Scholar[6] R. N. Miroshin, A sufficient condition of the finiteness of moments of the number of zeros of a Gaussian stationary process, Vestnik LGU, 1 (1974), 48–55, (In Russian.) Google Scholar[7] G. H. Hardy, , J. E. Littlewood and , G. Pólya, Inequalities, University Press, Cambridge, 1959 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Properties of local-nondeterminism of Gaussian and stable random fields and their applications26 February 2009 | Annales de la Faculté des sciences de Toulouse : Mathématiques, Vol. 15, No. 1 Cross Ref On Conditions for Finiteness of the Factorial Moments of the Number of Zeros of Gaussian Stationary ProcessesT. L. Malevich17 July 2006 | Theory of Probability & Its Applications, Vol. 29, No. 3AbstractPDF (903 KB)On Conditions for the Moments of the Number of Zeros of Gaussian Stationary Processes to Be FiniteT. L. Malevich17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 4AbstractPDF (911 KB) Volume 22, Issue 4| 1978Theory of Probability & Its Applications History Submitted:26 March 1975Published online:17 July 2006 InformationCopyright © 1978 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1122096Article page range:pp. 831-836ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics