Asymptotic Normality in the Scheme of Simple Random Sampling without Replacement

Previous article Next article Asymptotic Normality in the Scheme of Simple Random Sampling without ReplacementG. I. Ivchenko and V. V. LevinG. I. Ivchenko and V. V. Levinhttps://doi.org/10.1137/1123007PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Ju. I. Medvedev, Some theorems on the asymptotic distribution of the $\chi \sp{2}$ statistic, Dokl. Akad. Nauk SSSR, 192 (1970), 987–989, (In Russian.) MR0266357 Google Scholar[2] Yu. I. Medvedev, Separable statistics in a polynomial scheme, I, Theory Prob. Applications, 22 (1977), 1–15 10.1137/1122001 0392.60027 LinkGoogle Scholar[3] Lars Holst, Asymptotic normality and efficiency for certain goodness-of-fit tests, Biometrika, 59 (1972), 137–145 MR0314193 0235.62008 CrossrefGoogle Scholar[4] G. I. Ivchenko and , V. V. Levin, Asymptotic normality of a class of statistics in the multinomial scheme, Theory Prob. Applications, 21 (1976), 188–192 10.1137/1121021 0392.62016 LinkGoogle Scholar[5] Yu. K. Belyaev, Probabilistic methods of sample control, Nauka, Moscow, 1975, (In Russian.) Google Scholar[6] V. F. Kolchin, , B. A. Sevast'yanov and , V. P. Chistyakov, Random Allocations, Nauka, Moscow, 1976, (In Russian.) 0464.60002 Google Scholar[7] Ju. K. Beljaev and , L. V. Rykova, Kolmogorov's nonparametric test for samples from finite populations, Dokl. Akad. Nauk SSSR, 210 (1973), 1261–1264, (In Russian.) MR0362685 0291.62061 Google Scholar[8] George P. Steck, Limit theorems for conditional distributions, Univ. California Publ. Statist., 2 (1957), 237–284 MR0091552 0077.33104 Google Scholar[9] V. F. Kolčin, A certain class of limit theorems for conditional distributions, Litovsk. Mat. Sb., 8 (1968), 53–63, (In Russian.) MR0240856 0235.60023 Google Scholar[10] V. F. Kolchin, A problem of allocation of particles in cells and random mappings, Theory Prob. Applications, 21 (1976), 48–63 10.1137/1121004 0366.60015 LinkGoogle Scholar[11] William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons Inc., New York, 1966xviii+636 MR0210154 0138.10207 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the asymptotic properties of a certain class of goodness-of-fit tests associated with multinomial distributions30 April 2021 | Communications in Statistics - Theory and Methods, Vol. 1 Cross Ref Separable Statistic29 September 2014 Cross Ref Separable Statistic15 August 2006 Cross Ref Estimates of Proximity to the Normal Distribution in Sampling without ReplacementSh. A. Mirakhmedov17 July 2006 | Theory of Probability & Its Applications, Vol. 30, No. 3AbstractPDF (1044 KB)Limiting Conditional Distributions for Sums of Random VariablesE. M. Kudlaev17 July 2006 | Theory of Probability & Its Applications, Vol. 29, No. 4AbstractPDF (1048 KB) Volume 23, Issue 1| 1978Theory of Probability & Its Applications History Submitted:06 September 1976Published online:17 July 2006 InformationCopyright © 1978 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1123007Article page range:pp. 93-105ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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