Absolute Continuity of Infinitely Divisible Distributions under Translations

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Previous article Next article Absolute Continuity of Infinitely Divisible Distributions under TranslationsA. V. SkorokhodA. V. Skorokhodhttps://doi.org/10.1137/1110054PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Ulf Grenander, Stochastic processes and statistical inference, Ark. Mat., 1 (1950), 195–277 MR0039202 0058.35501 CrossrefGoogle Scholar[2] Emanuel Parzen, Regression analysis of continuous parameter time seriesProc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. I, Univ. California Press, Berkeley, Calif., 1961, 469–489 MR0146931 0107.13802 Google Scholar[3] A. V. Skorokhod, Random Processes with Independent Increments, Izd-vo “Nauka”, Moskva, 1964, (In Russian.) Google Scholar[4] T. S. Pitcher, The admissible mean values of a stochastic process, Trans. Amer. Math. Soc., 108 (1963), 538–546 MR0171311 0122.36303 CrossrefGoogle Scholar[5] A. V. Skorokhod, On the differentiability of measures which correspond to stochastic processes. I. Processes with independent increments, Theory Prob. Applications, 2 (1957), 407–432, (English translation.) 10.1137/1102030 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the structure of monoids of admissible transplates of multivariate probability measuresSemigroup Forum, Vol. 27, No. 1 Cross Ref A conditional dichotomy theorem for stochastic processes with independent incrementsJournal of Multivariate Analysis, Vol. 7, No. 1 Cross Ref Admissible transformations of measuresSemigroup Forum, Vol. 12, No. 1 Cross Ref The Structure of Infinitely Divisible Distributions on a Bicompact Abelian GroupV. M. Zolotarev and V. M. Kruglov17 July 2006 | Theory of Probability & Its Applications, Vol. 20, No. 4AbstractPDF (1213 KB)Densities for infinitely divisible random processesJournal of Multivariate Analysis, Vol. 5, No. 2 Cross Ref On Admissible Translations of Measures in Hilbert SpaceA. V. Skorokhod17 July 2006 | Theory of Probability & Its Applications, Vol. 15, No. 4AbstractPDF (1636 KB) Volume 10, Issue 3| 1965Theory of Probability & Its Applications History Submitted:14 January 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1110054Article page range:pp. 465-472ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics