On the Estimation of Mixed Semi-Invariants for a Certain Class of Random Processes

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Previous article Next article On the Estimation of Mixed Semi-Invariants for a Certain Class of Random ProcessesI. G. ZhurbenkoI. G. Zhurbenkohttps://doi.org/10.1137/1115057PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. L. Dobrushin, The description of a random field by means of conditional probabilities and conditions of its regularity, Theory Prob. Applications, 13 (1968), 197–224 10.1137/1113026 LinkGoogle Scholar[2] V. A. Statulyavichus, On stable limit theorems for weakly dependent random variables, Tr. VI Vses. Soveshchaniya po Teorii Veroyat. i Matem. Statist., Vil'nyus, 1962, 113–119, (In Russian.) Google Scholar[3] B. Rjauba, On the central limit theorem for sums of series of weakly dependent random variables, Litovsk. Mat. Sb., 2 (1962), 125–128, (In Russian.) MR0156374 0126.34102 Google Scholar[4] V. A. Statulyavichus, Limit theorems for sums of random variables connected in a Markov chain, Lit. Matem. Sb., 9 (1969), 635–672, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Bibliography on higher-order statisticsSignal Processing, Vol. 60, No. 1 | 1 Jul 1997 Cross Ref On a Condition of Almost Markov RegularityV. A. StatulyavichusTheory of Probability & Its Applications, Vol. 28, No. 2 | 17 July 2006AbstractPDF (406 KB)Bounds for Mixed Cumulants and Higher-Order Covariances of Bounded Random VariablesA. V. BulinskiiTheory of Probability & Its Applications, Vol. 19, No. 4 | 28 July 2006AbstractPDF (378 KB)Spectral Semi-Invariants of Stationary Processes with Sufficiently Strong MixingI. G. ZhurbenkoTheory of Probability & Its Applications, Vol. 17, No. 1 | 17 July 2006AbstractPDF (261 KB)Some History Of The Study Of Higher-order Moments And SpectraWorkshop on Higher-Order Spectral Analysis Cross Ref Volume 15, Issue 3| 1970Theory of Probability & Its Applications359-556 History Submitted:23 February 1970Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1115057Article page range:pp. 525-528ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics