Graphs of Random Processes as Random Sets
N. N. Lyashenko · Theory of Probability and Its Applications · 1987
Previous article Next article Graphs of Random Processes as Random SetsN. N. LyashenkoN. N. Lyashenkohttps://doi.org/10.1137/1131006PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] G. Matheron, Random sets and integral geometry, John Wiley & Sons, New York-London-Sydney, 1975xxiii+261 52:6828 0321.60009 Google Scholar[2] N. N. Lyashenko, Weak convergence of step processes in a space of closed sets, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 130 (1983), 122–129, (In Russian.) 85j:60058 0531.60006 Google Scholar[3] N. N. Lyashenko, Geometric convergence of random processes and the statistics of random sets, Izv. Vyssh. Uchebn. Zaved. Mat., 258 (1983), 74–81, Ser. Mat., (In Russian.) 85i:60012 0567.60012 Google Scholar[4] N. N. Lyashenko, Estimation of parameters of Poisson random sets, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 136 (1984), 121–141, (In Russian.) 86a:60019 0553.60003 Google Scholar[5] Patrick Billingsley, Convergence of probability measures, John Wiley & Sons Inc., New York, 1968xii+253 38:1718 0172.21201 Google Scholar[6] K. Kuratowski, Topology. Vol. I, New edition, revised and augmented. Translated from the French by J. Jaworowski, Academic Press, New York, 1966xx+560, London 36:840 0158.40802 Google Scholar[7] Gerald A. Beer, The Hausdorff metric and convergence in measure, Michigan Math. J., 21 (1974), 63–64 10.1307/mmj/1029001209 51:3403 0287.28012 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Random Closed Sets and Capacity FunctionalsTheory of Random Sets | 10 November 2017 Cross Ref Expectations of Random SetsTheory of Random Sets | 10 November 2017 Cross Ref Minkowski SumsTheory of Random Sets | 10 November 2017 Cross Ref Unions of Random SetsTheory of Random Sets | 10 November 2017 Cross Ref Random Sets and Random FunctionsTheory of Random Sets | 10 November 2017 Cross Ref On the Convergence of Random Processes Generated by Polyhedral Approximation of Convex CompactsI. S. MolchanovTheory of Probability & Its Applications, Vol. 40, No. 2 | 12 July 2006AbstractPDF (852 KB) Volume 31, Issue 1| 1987Theory of Probability & Its Applications1-177 History Submitted:03 April 1984Published online:01 August 2006 InformationCopyright © 1987 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1131006Article page range:pp. 72-80ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics