On Convergence of Counting Processes Associated with U -Statistics
Alexander A. Grusho · Theory of Probability and Its Applications · 1986
Previous article Next article On Convergence of Counting Processes Associated with U-StatisticsA. A. GrushoA. A. Grushohttps://doi.org/10.1137/1130082PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Roy Saunders and , Gerald Funk, Poisson limits for a clustering model of Strauss, J. Appl. Probability, 14 (1977), 776–784 56:16849 0379.60032 CrossrefGoogle Scholar[2] Bernard Silverman and , Tim Brown, Short distances, flat triangles and Poisson limits, J. Appl. Probab., 15 (1978), 815–825 80c:60042 0396.60029 CrossrefGoogle Scholar[3] M. Berman and , G. K. Eagleson, A Poisson limit theorem for incomplete symmetric statistics, J. Appl. Probab., 20 (1983), 47–60 84e:60035 0528.60040 CrossrefGoogle Scholar[4] Yu. M. Kabanov, , R. Sh. Liptser and , A. N. Shiryaev, Some limit theorems for simple point processes (a martingale approach), Stochastics, 3 (1980), 203–216 82a:60027 0441.60045 CrossrefGoogle Scholar[5] Yu. M. Kabanov, , R. Sh. Liptser and , A. N. Shiryaev, Weak and strong convergence of the distributions of counting processes, Theory Prob. Appl., 28 (1983), 303–336 0533.60055 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On the Problem of the Distributions of U-StatisticsA. A. GrushoTheory of Probability & Its Applications, Vol. 32, No. 2 | 17 July 2006AbstractPDF (477 KB) Volume 30, Issue 3| 1986Theory of Probability & Its Applications439-659 History Submitted:10 July 1984Published online:17 July 2006 InformationCopyright © 1986 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1130082Article page range:pp. 626-630ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics