The Probability of the First Attainment of a Level by a Component of a Multidimensional Process on a Prescribed Interval under Restrictions on Its Other Components

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Previous article Next article The Probability of the First Attainment of a Level by a Component of a Multidimensional Process on a Prescribed Interval under Restrictions on Its Other ComponentsS. L. SemakovS. L. Semakovhttps://doi.org/10.1137/1134036PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. L. Semakov, First arrival of a random process on the boundary, Avtomat. i Telemekh., (1988), 87–95, (In Russian.) 90e:60055 0658.60080 Google Scholar[2] H. Cramer and , M. Leadbetter, Stationary Random Processes, Mir, Moscow, 1969, (In Russian.) Google Scholar[3] R. N. Miroshin, The Crossings of Curves by Gaussian Processes, LGU Press, Leningrad, 1981(In Russian.) 0961.60502 Google Scholar[4] E. V. Bulinskaya, On the average number of crossings of some level by a stationary Gaussian process, Theory Probab. Appl, 6 (1961), 435–438 LinkGoogle Scholar[5] M. R. Leadbetter, On crossings of levels and curves by a wide class of stochastic processes, Ann. Math. Statist., 37 (1966), 260–267 34:8476 0141.14906 CrossrefGoogle Scholar[6] Yu. K. Belyaev, A general formula for the average number of crossings for random processes and fieldsOutliers of Random Fields, Vol. 29, Moscow St. Univ. Press, Moscow, 1972, 38–45, (In Russian.) Google Scholar[7] N. V. Smirnov and , L. N. Bol'shev, Tables for the Two-Dimensional Normal Distribution Function, USSR Acad. Sci., Moscow, 1962, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Aircraft Landing Strategy Cross Ref Thrust control when landing a ship-based aircraftJournal of Physics: Conference Series, Vol. 1786, No. 1 Cross Ref Probabilistic Estimation of Aircraft Landing Accuracy12 March 2021 | Russian Aeronautics, Vol. 63, No. 4 Cross Ref Probabilistic Estimation of Aircraft Landing Accuracy Cross Ref Estimating the Probability of Safe Landing for Aircrafts Cross Ref Estimating the Probability That a Random Process First Reaches the Boundary of a Region on a Given Time Interval Cross Ref Estimating the Probability of an Event Related to the Moment When a Random Process First Reaches a Given Level14 April 2018 | Automation and Remote Control, Vol. 79, No. 4 Cross Ref Estimating the probability that a multidimensional random process reaches the boundary of a region7 April 2015 | Automation and Remote Control, Vol. 76, No. 4 Cross Ref Volume 34, Issue 2| 1990Theory of Probability & Its Applications History Submitted:08 December 1987Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1134036Article page range:pp. 357-361ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics