A Local Invariance Principle for Processes Linearly Generated by Independent Random Variables
Nataliya V. Smorodina · Theory of Probability and Its Applications · 1985
Previous article Next article A Local Invariance Principle for Processes Linearly Generated by Independent Random VariablesN. V. SmorodinaN. V. Smorodinahttps://doi.org/10.1137/1129096PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Yu. A. Davydov, On strong convergence of distributions of functionals of random processes, II, Theory Prob. Appl., 26 (1981), 258–278 0481.60007 LinkGoogle Scholar[2] Yu. A. Davydov, On analogues of the law of $\sin^{-1}$ for sequences linearly generated by independent random variables, Zapiski Nauchn, Seminarov LOMI, 72 (1977), 62–73, (In Russian.) 0405.60053 Google Scholar[3] G. Kallianpur, Abstract Wiener processes and their reproducing kernel Hilbert spaces., Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 17 (1971), 113–123 43:6961 0194.49003 CrossrefGoogle Scholar[4] N. V. Smorodina, Local limit theorems for functionals of random fields, Problems of the Theory of Probability Distributions, VIII, Vol. 136, Zapiski Nauchn. Seminarov LOMI, 1983, 182–196, (In Russian.) 0594.60053 Google Scholar[5] V. V. Gorodetskii, On convergence to semi-stable Gaussian processes, Theory Prob. Appl., 22 (1977), 498–508 LinkGoogle Scholar[6] G. M. Molchan and , Yu. I. Golosov, Gaussian stationary processes with asymptotically a power spectrum. , Dokl. Akad. Nauk SSSR, 184 (1969), 546–549, (In Russian.) 39:3580 Google Scholar[7] I. A. Ibragimov and , Yu. V. Linnik, Independent and stationary sequences of random variables, Wolters-Noordhoff Publishing, Groningen, 1971, 443– 48:1287 0219.60027 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Fibering method in some probabilistic problemsJournal of Soviet Mathematics, Vol. 31, No. 2 | 1 Oct 1985 Cross Ref Volume 29, Issue 4| 1985Theory of Probability & Its Applications647-859 History Submitted:27 May 1982Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1129096Article page range:pp. 707-718ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics