On the Problem of Interpolation of Random Processes
Zurab A. Piranashvili · Theory of Probability and Its Applications · 1967
Previous article Next article On the Problem of Interpolation of Random ProcessesZ. A. PiranashviliZ. A. Piranashvilihttps://doi.org/10.1137/1112079PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Yu. K. Belyaev, Analytic random processes, Theory Prob. Applications, 4 (1959), 402–409 10.1137/1104040 0094.12203 LinkGoogle Scholar[2] N. I. Achieser, Theory of approximation, Translated by Charles J. Hyman, Frederick Ungar Publishing Co., New York, 1956x+307 MR0095369 0072.28403 Google Scholar[3] A. F. Timan, Theory of approximation of functions of a real variable, Translated from the Russian by J. Berry. English translation edited and editorial preface by J. Cossar. International Series of Monographs in Pure and Applied Mathematics, Vol. 34, A Pergamon Press Book. The Macmillan Co., New York, 1963xii+631 MR0192238 0117.29001 Google Scholar[4] Ju. A. Rozanov, Spectral analysis of abstract functions, Theor. Probability Appl., 4 (1959), 271–287 10.1137/1104027 MR0123357 0089.32602 LinkGoogle Scholar[5] Kari Karhunen, Über lineare Methoden in der Wahrscheinlichkeitsrechnung, Ann. Acad. Sci. Fennicae. Ser. A. I. Math.-Phys., 1947 (1947), 79– MR0023013 0030.16502 Google Scholar[6] Michel Loève, Probability theory, Third edition, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1963xvi+685 MR0203748 0108.14202 Google Scholar[7] Z. A. Piranashvili, On the question of modeling a certain class of non-stationary random processesin the collection Problems in Operation Investigation, “Metzniereba,”, Tbilisi, 1966, 46–52 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Uniform and non-uniform sampling of bandlimited functions at minimal density with a few additional samples28 October 2022 | Sampling Theory, Signal Processing, and Data Analysis, Vol. 21, No. 1 Cross Ref Probability distribution estimation for harmonisable loads and responses of linear elastic structuresProbabilistic Engineering Mechanics, Vol. 68 Cross Ref Whittaker–Kotel'nikov–Shannon approximation of φ-sub-Gaussian random processesJournal of Mathematical Analysis and Applications, Vol. 443, No. 2 Cross Ref Kramer's generalized sampling of stochastic processes Cross Ref Compact Description of the Segments on the Segmented Digital Image Cross Ref Average sampling of band-limited stochastic processesApplied and Computational Harmonic Analysis, Vol. 35, No. 3 Cross Ref Approximation of multidimensional stochastic processes from average sampling24 October 2012 | Journal of Inequalities and Applications, Vol. 2012, No. 1 Cross Ref Average Sampling Restoration of Harmonizable ProcessesCommunications in Statistics - Theory and Methods, Vol. 40, No. 19-20 Cross Ref Approximation of Wide-Sense Stationary Stochastic Processes by Shannon Sampling SeriesIEEE Transactions on Information Theory, Vol. 56, No. 12 Cross Ref Irregular Sampling of Generalized Harmonizable ProcessesStochastic Analysis and Applications, Vol. 22, No. 5 Cross Ref GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVESCommunications of the Korean Mathematical Society, Vol. 17, No. 4 Cross Ref A Brief Walk Through Sampling Theory Cross Ref Digital representations of operators on band-limited random signalsIEEE Transactions on Information Theory, Vol. 47, No. 1 Cross Ref Some recent results on the sampling theorem Cross Ref A note on sampling of bandlimited stochastic processesIEEE Transactions on Information Theory, Vol. 36, No. 5 Cross Ref Harmonizable Signal Extraction, Filtering and Sampling Cross Ref A VIEW OF HARMONIZABLE PROCESSES Cross Ref Some sampling properties of empirical characteristic functions viewed as harmonizable stochastic processesJournal of Statistical Planning and Inference, Vol. 17 Cross Ref The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic SplinesP. 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