On a Combinatorial Limit Theorem
Valentin Fedorovich Kolchin, Vladimir Pavlovich Chistyakov · Theory of Probability and Its Applications · 1974
Previous article Next article On a Combinatorial Limit TheoremV. F. Kolchin and V. P. ChistyakovV. F. Kolchin and V. P. Chistyakovhttps://doi.org/10.1137/1118093PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Jaroslav Hájek and , Zbyněk Šidak, Theory of rank tests, Academic Press, New York, 1967, 297–, London MR0229351 (37:4925) 0161.38102 Google Scholar[2] A. Wald and , J. Wolfowitz, Statistical tests based on permutations of the observations, Ann. Math. Statistics, 15 (1944), 358–372 MR0011424 (6,163b) 0063.08124 CrossrefGoogle Scholar[3] Minoru Motoo, On the Hoeffding's combinatorial central limit theorem, Ann. Inst. Statist. Math. Tokyo, 8 (1957), 145–154 MR0089560 (19,694c) 0084.13802 CrossrefGoogle Scholar[4] Harald Cramér, Mathematical Methods of Statistics, Princeton Mathematical Series, vol. 9, Princeton University Press, Princeton, N. J., 1946xvi+575 MR0016588 (8,39f) 0063.01014 Google Scholar[5] B. A. Sevast'yanov, Random mappings and decompositions of finite sets, Theory Prob. Applications, 17 (1972), 132–145 10.1137/1117010 0267.60007 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On large deviations for combinatorial sumsJournal of Statistical Planning and Inference, Vol. 217 Cross Ref Bounds of the remainder in a combinatorial central limit theoremStatistics & Probability Letters, Vol. 105 Cross Ref Esseen type bounds of the remainder in a combinatorial CLTJournal of Statistical Planning and Inference, Vol. 149 Cross Ref Concentration inequalities via zero bias couplingsStatistics & Probability Letters, Vol. 86 Cross Ref Berry-Esseen bounds for combinatorial central limit theorems and pattern occurrences, using zero and size biasing14 July 2016 | Journal of Applied Probability, Vol. 42, No. 3 Cross Ref A Uniform Bound on a Combinatorial Central Limit TheoremStochastic Analysis and Applications, Vol. 23, No. 3 Cross Ref Remainder term estimate in a combinatorial limit theoremZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 35, No. 2 Cross Ref On limit Distributions of a StatisticV. F. Kolchin and V. P. Chistyakov28 July 2006 | Theory of Probability & Its Applications, Vol. 19, No. 2AbstractPDF (546 KB) Volume 18, Issue 4| 1974Theory of Probability & Its Applications History Submitted:02 November 1971Published online:28 July 2006 InformationCopyright © 1974 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1118093Article page range:pp. 728-739ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics