Previous article Next article Asymptotic Properties of the Times the States Change in a Random Record ProcessA. L. YakymivA. L. Yakymivhttps://doi.org/10.1137/1131068PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Donald P. Gaver, Random record models, J. Appl. Probability, 13 (1976), 538–547 54:8841 0399.60083 CrossrefGoogle Scholar[2] P. Embrechts and , E. Omey, On subordinated distributions and random record processes, Math. Proc. Cambridge Philos. Soc., 93 (1983), 339–353 84h:60042 0513.60029 CrossrefGoogle Scholar[3] M. Westcott, The random record model, Proc. Roy. Soc. London Ser. A, 356 (1977), 529–547 58:7837 0369.60062 CrossrefGoogle Scholar[4] Mark Westcott, On the tail behaviour of record-time distributions in a random record process, Ann. Probab., 7 (1979), 868–873 80j:60037 0416.60061 CrossrefGoogle Scholar[5] Eugene Seneta, Regularly varying functions, Springer-Verlag, Berlin, 1976v+112, Lecture Notes in Mathematics 508, Heidelberg–New York 56:12189 0324.26002 CrossrefGoogle Scholar[6] A. L. Yakymiv, Asymptotic behavior of the probability of continuation of critical Bellman–Harris branching processes, Trudy Mat. Inst. Steklov, 177 (1986), 177–205, (In Russian.) 0607.60075 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Bibliography14 October 2011 Cross Ref On the convergence of positive increasing functions to infinity20 April 2011 | Ukrainian Mathematical Journal, Vol. 62, No. 10 Cross Ref PRV property and the ϕ-asymptotic behavior of solutions of stochastic differential equationsLithuanian Mathematical Journal, Vol. 47, No. 4 Cross Ref On the Asymptotics of the Density of an Infinitely Divisible Distribution at InfinityA. L. Yakymiv25 July 2006 | Theory of Probability & Its Applications, Vol. 47, No. 1AbstractPDF (122 KB)Record sequences and their applications Cross Ref Asymptotics of the kth Record TimesA. L. Yakymiv12 July 2006 | Theory of Probability & Its Applications, Vol. 40, No. 4AbstractPDF (298 KB)Asymptotic Behavior of a Class of Infinitely Divisible DistributionsA. L. Yakymiv17 July 2006 | Theory of Probability & Its Applications, Vol. 32, No. 4AbstractPDF (680 KB)RecordsV. B. Nevzorov17 July 2006 | Theory of Probability & Its Applications, Vol. 32, No. 2AbstractPDF (3250 KB) Volume 31, Issue 3| 1987Theory of Probability & Its Applications History Submitted:08 April 1985Published online:28 July 2006 InformationCopyright © 1987 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1131068Article page range:pp. 508-512ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics