Asymptotic Distributions of Curvatures of a Homogeneous Gaussian Random Field at Points of High Local Maxima

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Previous article Next article Asymptotic Distributions of Curvatures of a Homogeneous Gaussian Random Field at Points of High Local MaximaV. P. NoskoV. P. Noskohttps://doi.org/10.1137/1129110PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Yu. Belyaev, Point processes and first passage problems, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971), Vol. III: Probability theory, Univ. California Press, Berkeley, Calif., 1972, 1–17, Los Angeles 53:4207 Google Scholar[2] Robert J. Adler, The geometry of random fields, John Wiley & Sons Ltd., Chichester, 1981xi+280 82h:60103 0478.60059 Google Scholar[3] A. N. Mal'kov, An investigation of the curvature of Gaussian random processes and fields at local maximum pointsInvestigations on Random Fields, MGU Press, Moscow, 1974, 103–111, (In Russian.) Google Scholar[4] P. K. Rashevskii, A Course of Differential Geometry, GITTL, Moscow—Leningrad, 1950, (In Russian.) Google Scholar[5] Yu. K. Belyaev, Random point sets and problems of the level crossing typeExcursions of Random Fields, MGU Press, Moscow, 1972, 9–37, (In Russian.) Google Scholar[6] V. P. Nosko, Local structure of Gaussian homogeneous fields in the vicinity of high-level light sources, Soviet Math. Dokl, 10 (1969), 1481–1482 0267.60036 Google Scholar[7] V. P. Nosko, The characteristics of excursions of Gaussian homogeneous fields beyond a high level, Soviet-Japan Symposium on Probability Theory (Khabarovsk, August, 1969), SO Akad Nauk SSSR, Novosibirsk, 1969, 209–215, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the Shape of a High Excursion of a Gaussian Stationary Process24 March 2021 | Journal of Mathematical Sciences, Vol. 254, No. 4 Cross Ref Volume 29, Issue 4| 1985Theory of Probability & Its Applications History Submitted:09 September 1982Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1129110Article page range:pp. 817-823ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics