Uniform Distributions on Convex Sets: Inequality for Characteristic Functions

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Previous article Next article Uniform Distributions on Convex Sets: Inequality for Characteristic FunctionsA. A. Kulikova and Yu. V. ProkhorovA. A. Kulikova and Yu. V. Prokhorovhttps://doi.org/10.1137/S0040585X97980099PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThis paper proves an inequality for a characteristic function of the uniform distribution on a compact convex body $D\subset{\bf R}^s$.[1] N. G. Ushakov, Some inequalities for characteristic functions of unimodal distributions, Theory Probab. Appl., 26 (1983), pp. 595–599. tba TPRBAU 0040-585X Theor. Probab. Appl. LinkGoogle Scholar[2] Google Scholar[3] A. A. Kulikova, Estimate of the rate of convergence of probability distributions to a uniform distribution, Theory Probab. Appl., 47 (2002), pp. 693–699. tba TPRBAU 0040-585X Theor. Probab. Appl. LinkGoogle ScholarKeywordsuniform distributioncharacteristic function Previous article Next article FiguresRelatedReferencesCited ByDetails Four Areas of Yu. V. Prokhorov's Studies and Their PerspectivesO. V. Viskov and V. I. KhokhlovTheory of Probability & Its Applications, Vol. 60, No. 2 | 7 June 2016AbstractPDF (155 KB)Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densitiesStochastic Processes and their Applications, Vol. 125, No. 4 | 1 Apr 2015 Cross Ref Convex and star-shaped sets associated with multivariate stable distributions, I: Moments and densitiesJournal of Multivariate Analysis, Vol. 100, No. 10 | 1 Nov 2009 Cross Ref On an inequality by Kulikova and ProkhorovStatistics & Probability Letters, Vol. 79, No. 14 | 1 Jul 2009 Cross Ref Estimate of the Rate of Convergence of Probability Distributions to a Uniform DistributionA. A. KulikovaTheory of Probability & Its Applications, Vol. 47, No. 4 | 25 July 2006AbstractPDF (145 KB) Volume 47, Issue 4| 2003Theory of Probability & Its Applications567-744 History Published online:25 July 2006 InformationCopyright © 2003 Society for Industrial and Applied MathematicsKeywordsuniform distributioncharacteristic functionPDF Download Article & Publication DataArticle DOI:10.1137/S0040585X97980099Article page range:pp. 700-701ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics