Logarithms of Sample Spacings

Previous article Next article Logarithms of Sample SpacingsSaul BlumenthalSaul Blumenthalhttps://doi.org/10.1137/0116099PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard E. Barlow, , Albert W. Marshall and , Frank Proschan, Properties of probability distributions with monotone hazard rate, Ann. Math. Statist., 34 (1963), 375–389 MR0171328 0249.60006 CrossrefISIGoogle Scholar[2] Saul Blumenthal, Contributions to sample spacings theory. I. Limit distributions of sums of ratios of spacings, Ann. Math. Statist., 37 (1966), 904–924 MR0192587 0144.19204 CrossrefISIGoogle Scholar[3] Saul Blumenthal, Contributions to sample spacings theory. II. Tests of the parametric goodness of fit and two-sample problems, Ann. Math. Statist., 37 (1966), 925–939 MR0192588 0144.19204 CrossrefISIGoogle Scholar[4] D. A. Darling, On a class of problems related to the random division of an interval, Ann. Math. Statistics, 24 (1953), 239–253 MR0058891 0053.09902 CrossrefISIGoogle Scholar[5] J. R. Gebert and , B. K. Kale, Goodness of fit tests based on discriminatory information, 1967, Unpublished manuscript, Statistical Laboratory, Iowa State University, Ames Google Scholar[6] R. Pyke, Spacings. (With discussion.), J. Roy. Statist. Soc. Ser. B, 27 (1965), 395–449 MR0216622 0144.41704 Google Scholar[7] Alfréd Rényi, On the theory of order statistics, Acta Math. Acad. Sci. Hungar., 4 (1953), 191–231 MR0061792 0052.14202 CrossrefGoogle Scholar[8] Lionel Weiss, A certain class of tests of fit, Ann. Math. Statist., 27 (1956), 1165–1170 MR0084243 0073.14502 CrossrefISIGoogle Scholar[9] Lionel Weiss, The asymptotic power of certain tests of fit based on sample spacings, Ann. Math. Statist., 28 (1957), 783–786 MR0096327 0087.14801 CrossrefISIGoogle Scholar[10] Lionel Weiss, On asymptotic sampling theory for distributions approaching the uniform distribution, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 4 (1965), 217–221 (1965) 10.1007/BF00533752 MR0191042 0139.37505 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Gaussian limits for generalized spacingsThe Annals of Applied Probability, Vol. 19, No. 1 | 1 Feb 2009 Cross Ref The performance of difference coding for sets and relational tablesJournal of the ACM, Vol. 50, No. 5 | 1 Sep 2003 Cross Ref A NEW TEST OF UNIFORMITY BASED ON OVERLAPPING SAMPLE SPACINGSCommunications in Statistics - Theory and Methods, Vol. 30, No. 7 | 30 Jun 2001 Cross Ref On the consistency of the maximum spacing methodJournal of Statistical Planning and Inference, Vol. 70, No. 2 | 1 Jul 1998 Cross Ref Zipf’s law, the central limit theorem, and the random division of the unit intervalPhysical Review E, Vol. 54, No. 1 | 1 July 1996 Cross Ref Limit theorems for the logarithm of sample spacingsStatistics & Probability Letters, Vol. 24, No. 2 | 1 Aug 1995 Cross Ref Nonparametric Statistical Data ModelingJournal of the American Statistical Association, Vol. 74, No. 365 | 1 Mar 1979 Cross Ref Tests of fit based on partial sums of the ordered spacingsAnnals of the Institute of Statistical Mathematics, Vol. 22, No. 1 | 1 Dec 1970 Cross Ref Tests of Fit based on Products of SpacingsProbability, Statistics and Modelling in Public Health Cross Ref Volume 16, Issue 6| 1968SIAM Journal on Applied Mathematics1123-1403 History Submitted:21 July 1967Published online:12 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0116099Article page range:pp. 1184-1191ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics