On Subordinate Processes
T. N. Siraya · Theory of Probability and Its Applications · 1977
Previous article Next article On Subordinate ProcessesT. N. SirayaT. N. Sirayahttps://doi.org/10.1137/1122011PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. N. Kolmogoroff, Stationary sequences in Hilbert's space, Bolletin Moskovskogo Gosudarstvenogo Universiteta. Matematika, 2 (1941), 40pp, (In Russian.) MR0009098 0063.03291 Google Scholar[2] Yu. A. Rozanov, Stationary random processes, Translated from the Russian by A. Feinstein, Holden-Day Inc., San Francisco, Calif., 1967vi+211 MR0214134 0152.16302 Google Scholar[3] Yu. A. Rozanov, Theory of Innovation processes, Nauka, Moscow, 1974, (In Russian) Google Scholar[4] N. Aronszajn, Theory of reproducing kernels, Trans. Amer. Math. Soc., 68 (1950), 337–404 MR0051437 0037.20701 CrossrefGoogle Scholar[5] Yi. I. Golosov and , A. M. Yaglom, Equivalent measures corresponding to generalized random processes, Abstracts of brief scientific communications, International Congress of Mathematicians, Moscow, 1966, 33–, Section 11, (In Russian.) Google Scholar[6] Harald Cramér, On some classes of nonstationary stochastic processesProc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, 57–78 MR0150828 0121.35001 Google Scholar[7] A. A. Tempel'man, On linear regression estimatesSecond International Symposium on Information Theory (Tsahkadsor, 1971), Akadémiai Kiadó, Budapest, 1973, 329–354 MR0483209 0325.62043 Google Scholar[8] P. Masani, Recent trends in multivariate prediction theoryMultivariate Analysis (Proc. Internat. Sympos., Dayton, Ohio, 1965), Academic Press, New York, 1966, 351–382 MR0214228 0216.46706 CrossrefGoogle Scholar[9] V. Mandrekar and , H. Salehi, Subordination of infinite-dimensional stationary stochastic processes, Ann. Inst. H. Poincaré Sect. B (N.S.), 6 (1970), 115–130 MR0268953 0196.19101 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On subordination and linear transformation of harmonizable and periodically correlated processes15 November 2006 Cross Ref Projection of processes with orthogonal increments and subordinated processesJournal of Soviet Mathematics, Vol. 23, No. 3 Cross Ref Volume 22, Issue 1| 1977Theory of Probability & Its Applications History Submitted:12 January 1976Published online:17 July 2006 InformationCopyright © 1977 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1122011Article page range:pp. 129-133ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics