An Asymptotic Expansion for a Sample Sum from a Finite Population

Previous article Next article An Asymptotic Expansion for a Sample Sum from a Finite PopulationSh. A. MirakhmedovSh. A. Mirakhmedovhttps://doi.org/10.1137/1128046PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. von Bahr, On sampling from a finite set of independent random variables, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 24 (1972), 279–286 48:9804 0237.62014 CrossrefGoogle Scholar[2] Sh. A. Mirakhmedov, An asymptotic expansion for the distribution of a sample sum from a finite population of random variables, Dokl. Akad. Nauk., UzSSR, 2 (1979), 3–5, (In Russian.) 0453.60032 Google Scholar[3] Sh. A. Mirakhmedov, The asymptotic behavior of the distribution of a sample sum from a finite population, Summary of Reports III International Vilnius Conference on Probability Theory and Mathematical Statistics, Vol. 2, Inst. Mat. i Kibern. Akad. Nauk. LitSSR, Vilnius, 1981, 53–54, (In Russian.) Google Scholar[4] P. J. Robinson, An asymptotic expansion for samples from a finite population, Ann. Statist., 6 (1978), 1005–1011 80i:62016 0387.60030 CrossrefGoogle Scholar[5] P. J. Bickel and , W. R. von Zwet, Asymptotic expansions for the power of distribution free tests in the two-sample problem, Ann. Statist., 6 (1978), 937–1004 80j:62043 0378.62047 CrossrefGoogle Scholar[6] W. R. von Zwet, On the Edgeworth expansion for the simple linear rank statistic, 1980, Matematisch Centrum, Amsterdam, preprint Google Scholar[7] S. S. Wilks, Mathematical statistics, A Wiley Publication in Mathematical Statistics, John Wiley & Sons Inc., New York, 1962xvi+644 26:1949 0173.45805 Google Scholar[8] J. Hajék and , Z. Šidák, Theory of rank tests, Academic Press, New York, 1967, 297– 37:4925 0161.38102 Google Scholar[9] V. V. Petrov, Sums of independent random variables, Springer-Verlag, New York, 1975x+346 52:9335 CrossrefGoogle Scholar[10] A. Kaufmann, Introduction à la combinatorique en vue des applications, Dunod, Paris, 1968xviii+608 51:10109 0169.01801 Google Scholar[11] W. Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons Inc., New York, 1966xviii+636 35:1048 0138.10207 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Approximation by Normal Distribution for a Sample Sum in Sampling Without Replacement from a Finite Population19 September 2016 | Sankhya A, Vol. 78, No. 2 Cross Ref Edgeworth expansions for two‐stage sampling with applications to stratified and cluster sampling25 November 2015 | Canadian Journal of Statistics, Vol. 43, No. 4 Cross Ref On Edgeworth Expansions in Generalized Urn Models17 October 2012 | Journal of Theoretical Probability, Vol. 27, No. 3 Cross Ref Volume 28, Issue 3| 1984Theory of Probability & Its Applications History Submitted:23 April 1981Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1128046Article page range:pp. 492-502ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

Перевод пока недоступен