Previous article Next article Convergence of Random Sequences with Independent Random Indices IIV. Yu. KorolevV. Yu. Korolevhttps://doi.org/10.1137/1140089PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractNecessary and sufficient conditions are obtained for the convergence of some statistics constructed from samples with random sizes.[1] V. Yu. Korolev, Convergence of random sequences with independent random indices I, Theory Probab. Appl., 39 (1994), 282–297 10.1137/1139018 0837.60018 LinkGoogle Scholar[2] V. Yu. Korolev, Limit distributions of randomly indexed random sequences, Theory Probab. Appl., 37 (1992), 535–542 10.1137/1137104 0788.60038 LinkGoogle Scholar[3] Henry Teicher, Identifiability of mixtures, Ann. Math. Statist., 32 (1961), 244–248 22:11426 0146.39302 CrossrefGoogle Scholar[4] N. V. Smirnov, Limit distribution laws for order statistics, Proc. Steklov Math. Inst. USSR Acad. Sci., 25 (1949), 5–59 Google Scholar[5] Janos Galambos, The asymptotic theory of extreme order statistics, John Wiley & Sons, New York-Chichester-Brisbane, 1978xiv+352 80b:60040 0381.62039 Google Scholar[6] G. Cramer, Mathematical Methods of Statistics, Princeton University Press, Princeton, NJ, 1974 Google Scholar[7] L. B. Klebanov and , I. A. Melamed, Asymptotic properties of estimators of parameters of the families of distribution constructed from samples with random sizes, J. Math. Sci., 72 (1994), 2903–2914 CrossrefGoogle ScholarKeywordsrandom sequences with random indicesweak convergencesamples with random sizesorder statisticsasymptotically normal statistics Previous article Next article FiguresRelatedReferencesCited byDetails Statistical Feature Construction for Forecasting Accuracy Increase and Its Applications in Neural Network Based Analysis14 February 2022 | Mathematics, Vol. 10, No. 4 Cross Ref Modeling Particle Size Distribution in Lunar Regolith via a Central Limit Theorem for Random Sums23 August 2020 | Mathematics, Vol. 8, No. 9 Cross Ref Probability Models and Statistical Tests for Extreme Precipitation Based on Generalized Negative Binomial Distributions16 April 2020 | Mathematics, Vol. 8, No. 4 Cross Ref On Mixture Representations for the Generalized Linnik Distribution and Their Applications in Limit Theorems19 March 2020 | Journal of Mathematical Sciences, Vol. 246, No. 4 Cross Ref Statistical Tests for Extreme Precipitation Volumes19 July 2019 | Mathematics, Vol. 7, No. 7 Cross Ref Convergence of statistics constructed from samples with random sizes to the Linnik and Mittag-Leffler distributions and their generalizationsJournal of the Korean Statistical Society, Vol. 46, No. 2 Cross Ref Some Remarks on the Asymptotic Behavior of the Empirical Availability FunctionH. Bevrani and V. Yu. Korolev22 June 2017 | Theory of Probability & Its Applications, Vol. 61, No. 2AbstractPDF (334 KB)Limit Distributions for Doubly Stochastically Rarefied Renewal Processes and Their PropertiesV. Yu. Korolev21 December 2017 | Theory of Probability & Its Applications, Vol. 61, No. 4AbstractPDF (234 KB)On convergence of the distributions of random sequences with independent random indexes to variance–mean mixtures31 March 2016 | Stochastic Models, Vol. 32, No. 3 Cross Ref Limit laws for the maxima of stationary chi-processes under random index8 April 2014 | TEST, Vol. 23, No. 4 Cross Ref On the relationship between the generalized student t-distribution and the variance gamma distribution in statistical analysis of random-size samples5 September 2012 | Doklady Mathematics, Vol. 86, No. 1 Cross Ref Extremal limit theorems for observations separated by random power law waiting timesJournal of Statistical Planning and Inference, Vol. 139, No. 7 Cross Ref On an Application of the Student Distribution in the Theory of Probability and Mathematical StatisticsV. E. Bening and V. Yu. Korolev25 July 2006 | Theory of Probability & Its Applications, Vol. 49, No. 3AbstractPDF (183 KB)Nonparametric Estimation of the Ruin Probability for Generalized Risk ProcessesV. E. Bening and V. Yu. Korolev25 July 2006 | Theory of Probability & Its Applications, Vol. 47, No. 1AbstractPDF (183 KB)Asymptotic Properties of Sample Quantiles Constructed from Samples with Random SizesV. Yu. Korolev25 July 2006 | Theory of Probability & Its Applications, Vol. 44, No. 2AbstractPDF (128 KB)Limit theorems for extremes with random sample size1 July 2016 | Advances in Applied Probability, Vol. 30, No. 3 Cross Ref Volume 40, Issue 4| 1996Theory of Probability & Its Applications History Submitted:10 March 1994Published online:12 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsKeywordsrandom sequences with random indicesweak convergencesamples with random sizesorder statisticsasymptotically normal statisticsPDF Download Article & Publication DataArticle DOI:10.1137/1140089Article page range:pp. 770-772ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
Read full abstract