On the Number of Intersections of a Level by a Gaussian Stochastic Process. I

Previous article Next article On the Number of Intersections of a Level by a Gaussian Stochastic Process. IYu. K. BelyaevYu. K. Belyaevhttps://doi.org/10.1137/1111006PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 S. O. Rice, Mathematical analysis of random noise, Bell System Tech. J., 24 (1945), 46–156 MR0011918 0063.06487 CrossrefGoogle Scholar2 V. I. Bunimovich, Fluctuating processes in receiving apparatuses, Soviet Radio, Moscow, 1951, (In Russian.) Google Scholar3 Mark Kac and , David Slepian, Large excursions of Gaussian processes, Ann. Math. Statist., 30 (1959), 1215–1228 MR0115222 0089.34101 CrossrefGoogle Scholar4 V. A. Volkonskii and , Yu. A. Rozanov, Some limit theorems for random functions. II, Theory Prob. Applications, 6 (1961), 186–198, (English translation.) 10.1137/1106023 0108.31301 LinkGoogle Scholar5 A. N. Kolmogorov and , Yu. A. Rozanov, On strong conditions for stationary Gaussian processes, Theory Prob. Applications, 5 (1960), 204–208, (English translation.) 10.1137/1105018 0106.12005 LinkGoogle Scholar6 E. V. Bulinskaya, On the mean number of crossings of a level by a stationary Gaussian process, Theory Prob. Applications, 6 (1961), 435–4380, (English translation.) 10.1137/1106059 0108.31002 LinkGoogle Scholar7 Harald Cramér, Mathematical Methods of Statistics, Princeton Mathematical Series, vol. 9, Princeton University Press, Princeton, N. 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Belyaev17 July 2006 | Theory of Probability & Its Applications, Vol. 12, No. 3AbstractPDF (1023 KB) Volume 11, Issue 1| 1966Theory of Probability & Its Applications History Submitted:13 May 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1111006Article page range:pp. 106-113ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics