Asymptotic Normality in the Scheme of Simple Random Sampling without Replacement
Grigorii Ivanovich Ivchenko, V. V. Levin · Theory of Probability and Its Applications · 1978
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