On the Average Number of Distinctive Level Curve Points of a Random Field on the Plane

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Previous article Next article On the Average Number of Distinctive Level Curve Points of a Random Field on the PlaneV. P. NoskoV. P. Noskohttps://doi.org/10.1137/1124019PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Robert J. Adler and , A. M. Hasofer, Level crossings for random fields, Ann. Probability, 4 (1976), 1–12 MR0405559 0329.60017 CrossrefGoogle Scholar[2] Yu. K. Belyaev, , V. P. Nosko and , A. A. Sveshnikov, Probabilistic characteristics of excursions of a two-dimensional random field, Probability Theory and Mathematical Statistics, Vol. 6, Kiev University, 1972, 24–31, (In Russian.) Google Scholar[3] A. A. Sveshnikov and , V. D. Khabalov, An estimate of the average number of excursions of a two-dimensional random field, Kibernetika, 3 (1973), 94–99, (In Russian.) Google Scholar[4] V. P. Nosko, On the possibility of using the Morse inequalities for the estimation of the number of excursions of a random field in a domain, Theor. Probability Appl., 18 (1973), 821–822 Google Scholar[5] Yu. K. Belyaev, A general formula for the average number of intersections for random processes and fields“Excursions of Random Fields”, MGU, Moscow, 1972, 38–45, (In Russian.) Google Scholar[6] T. L. Malevič, The formula for the mean number of crossings of a surface by random fields, Izv. Akad. Nauk UzSSR Ser. Fiz.-Mat. Nauk, 17 (1973), 15–17, 75, (In Russian.) MR0343353 Google Scholar[7] Yu. K. Belyaev, Random point sets and problems of the level crossing type“Excursions of Random Fields”, MGU, Moscow, 1972, 9–37, (In Russian.) Google Scholar[8] Robert J. Adler, Excursions above a fixed level by n-dimensional random fields, J. Appl. Probability, 13 (1976), 276–289 MR0405566 0368.60048 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails References and Suggested ReadingLevel Sets and Extrema of Random Processes and Fields | 21 July 2008 Cross Ref Volume 24, Issue 1| 1979Theory of Probability & Its Applications History Submitted:12 September 1977Published online:17 July 2006 InformationCopyright © 1979 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1124019Article page range:pp. 181-183ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics