Variational Series for a Scheme of Summing Independent Variables
Grigorii Ivanovich Ivchenko · Theory of Probability and Its Applications · 1974
Previous article Next article Variational Series for a Scheme of Summing Independent VariablesG. I. IvchenkoG. I. Ivchenkohttps://doi.org/10.1137/1118067PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. Gnedenko, Sur la distribution limite du terme maximum d'une série aléatoire, Ann. of Math. (2), 44 (1943), 423–453 MR0008655 (5,41b) 0063.01643 CrossrefGoogle Scholar[2] N. V. Smirnov, Theory of Probability and Mathematical Statistics, Izd-vo “Nauka”, Moscow, 1970, (In Russian.) Google Scholar[3] V. F. Kolchin, On the limit behavior of extreme order statistics in a polynomial scheme, Theory Prob. Applications, 14 (1969), 458–469 10.1137/1114058 LinkGoogle Scholar[4] G. I. Ivchenko, On the asymptotic behavior of degrees of vertices in a random graph, Theory Prob. Applications, 18 (1973), 188–195 10.1137/1118020 0294.60009 LinkGoogle Scholar[5] H. E. Daniels, Saddlepoint approximations in statistics, Ann. Math. Statist., 25 (1954), 631–650 MR0066602 (16,603c) 0058.35404 CrossrefGoogle Scholar[6] I. A. Ibragimov and , Yu. V. Linnik, Independent and stationary sequences of random variables, Wolters-Noordhoff Publishing, Groningen, 1971, 443– MR0322926 (48:1287) 0219.60027 Google Scholar[7] V. V. Petrov, On the probabilities of large deviations of sums of independent random variables, Theory Prob. Applications, 10 (1965), 287–298 10.1137/1110033 0235.60028 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Max-stable processes and stationary systems of Lévy particlesStochastic Processes and their Applications, Vol. 125, No. 11 Cross Ref Limit Laws for Sums of Independent Random Products: the Lattice Case9 June 2010 | Journal of Theoretical Probability, Vol. 25, No. 2 Cross Ref Maxima of Independent Sums in the Presence of Heavy TailsA. V. Lebedev25 July 2006 | Theory of Probability & Its Applications, Vol. 49, No. 4AbstractPDF (100 KB)On the limiting distribution of the failure time of fibrous materials1 July 2016 | Advances in Applied Probability, Vol. 15, No. 2 Cross Ref On Limit Distributions of Middle Order Statistics for a Double SequenceG. I. Ivcenko28 July 2006 | Theory of Probability & Its Applications, Vol. 19, No. 2AbstractPDF (934 KB) Volume 18, Issue 3| 1974Theory of Probability & Its Applications History Submitted:09 February 1972Published online:28 July 2006 InformationCopyright © 1974 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1118067Article page range:pp. 531-545ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics