An Improvement of a Convergence-Rate Estimate
V. V. Sazanov · Theory of Probability and Its Applications · 1969
Previous article Next article An Improvement of a Convergence-Rate EstimateV. V. SazanovV. V. Sazanovhttps://doi.org/10.1137/1114080PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] N. V. Smirnov, On the distribution of the von Mises $\omega^{2}$ test, Mat. Sb., 2(44) (1937), 973–993, (In Russian.) Google Scholar[2] D. A. Darling, The Kolmogorov-Smirnov, Cramér-von Mises tests, Ann. Math. Statist, 28 (1957), 823–838 MR0093870 0082.13602 CrossrefGoogle Scholar[3] V. V. Sazanov, On the $\omega^{2}$ test, Sankhyā, Ser. A, 30 (1968), 205–209 Google Scholar[4] Michel Loève, Probability theory, Third edition, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1963xvi+685 MR0203748 0108.14202 Google Scholar[5] V. V. Sazonov, On the multi-dimensional central limit theorem, Sankhyā Ser. A, 30 (1968), 181–204 MR0236979 0209.49601 Google Scholar[6] Bengt von Bahr, Multi-dimensional integral limit theorems, Ark. Mat., 7 (1967), 71–88 (1967) MR0228044 0221.60014 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Optimal Bounds in Non-Gaussian Limit Theorems for U-StatisticsThe Annals of Probability, Vol. 27, No. 1 | 1 Jan 1999 Cross Ref Asymptotic expansions in the integral and local limit theorems in banach spaces with applications to ?-statisticsJournal of Theoretical Probability, Vol. 6, No. 4 | 1 Oct 1993 Cross Ref On the Rate of Convergence to Normal Law in Hilbert SpaceS. V. NagaevTheory of Probability & Its Applications, Vol. 30, No. 1 | 28 July 2006AbstractPDF (1032 KB)Estimates of Characteristic Functions of Certain Random Variables with Application to $\omega ^2 $-Statistics. IYu. V. BorovskikhTheory of Probability & Its Applications, Vol. 29, No. 3 | 17 July 2006AbstractPDF (1126 KB)On Large Deviation Probabilities for Sums of Independent Random VectorsL. V. OsipovTheory of Probability & Its Applications, Vol. 23, No. 3 | 17 July 2006AbstractPDF (1498 KB)Asymptotic expansions for bivariate von Mises functionalsZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 50, No. 3 | 1 Jan 1979 Cross Ref Computation of Distribution Functions of Quadratic Forms of Normally Distributed Random VariablesG. V. MartynovTheory of Probability & Its Applications, Vol. 20, No. 4 | 17 July 2006AbstractPDF (977 KB)The Rate of Convergence of the Distribution of the Smirnov-von Mises StatisticA. I. OrlovTheory of Probability & Its Applications, Vol. 19, No. 4 | 28 July 2006AbstractPDF (1852 KB)Summary of Papers Presented at the Sessions of the Seminar in Probability Theory and Mathematical Statistics at the Mathematical Institute of the Academy of Sciences of the USSRTheory of Probability & Its Applications, Vol. 16, No. 3 | 17 July 2006AbstractPDF (662 KB)BibliographyNormal Approximation Cross Ref Volume 14, Issue 4| 1969Theory of Probability & Its Applications547-728 History Submitted:05 May 1969Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1114080Article page range:pp. 640-651ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics