Convergence Rates in the Central Limit Theorem for Sums of a Random Number of Independent Random Variables

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Previous article Next article Convergence Rates in the Central Limit Theorem for Sums of a Random Number of Independent Random VariablesZ. Rychlik and D. SzynalZ. Rychlik and D. Szynalhttps://doi.org/10.1137/1120038PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. V. Gnedenko and , I. N. Kovalenko, Introduction to queueing theory, Translated from Russian by R. Kondor. Translation edited by D. Louvish, Israel Program for Scientific Translations, Jerusalem, 1968ix+281, (English translation.) MR0240884 Google Scholar[2] N. P. Buslenko, , V. V. Kalashnikov and , I. N. Kovalenko, Lectures on the Theory of Complex Systems, Sovetskoe Radio, Moscow, 1972, (In Russian.) Google Scholar[3] A. A. Borovkov, Factorization identities and properties of the distribution of the supremum of sequential sums, Theory Prob. Applications, 15 (1970), 359–402 10.1137/1115046 0233.60048 LinkGoogle Scholar[4] J. Kiefer and , J. Wolfowitz, On the theory of queues with many servers, Trans. Amer. Math. Soc., 78 (1955), 1–18 MR0066587 0064.13303 CrossrefGoogle Scholar[5] G. P. Klimov, Some solved and unsolved problems in servicing a sequential chain of devices, Izv. Akad. Nauk SSSR Ser. Tekhnicheskaya Kibernetika, 6 (1970), 88–92, (In Russian.) Google Scholar[6] V. V. Kalashnikov and , G. Sh. Tsitsiashvili, On the stability of queueing systems with respect to disturbances of their distribution functions, Izv. Akad. Nauk SSSR Tehn. Kibernet., (1972), 41–48, (In Russian.) MR0343391 Google Scholar[7] A. A. Zykov, Theory of Finite Graphs, Nauka, Novosibirsk, 1969, (In Russian.) 0213.25801 Google Scholar[8] B. V. Gnedenko, , Yu. K. Belyaev and , A. D. Solov'ev, Mathematical Methods in Reliability Theory, Nauka, Moscow, 1965, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A supplement to sowey's bibliography on random number generation and related topicsBiometrical Journal, Vol. 22, No. 5 Cross Ref A supplement to sowey's bibliography on random number generation and related topicsJournal of Statistical Computation and Simulation, Vol. 10, No. 1 Cross Ref On an estimate of the remainder term in the central limit theorem1 July 2016 | Advances in Applied Probability, Vol. 11, No. 2 Cross Ref Volume 20, Issue 2| 1976Theory of Probability & Its Applications History Submitted:01 August 1974Published online:17 July 2006 InformationCopyright © 1976 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1120038Article page range:pp. 351-362ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics