Donhauzer, Illia; Olenko, Andriy Limit theorems for multifractal products of random fields. (English) Zbl 1539.60060 J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127888, 32 p. (2024). MSC: 60G60 60G15 28A80 60G57 PDFBibTeX XMLCite \textit{I. Donhauzer} and \textit{A. Olenko}, J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127888, 32 p. (2024; Zbl 1539.60060) Full Text: DOI arXiv
Broadbridge, Philip; Donhauzer, Illia; Olenko, Andriy Stochastic diffusion within expanding space-time. (English) Zbl 1534.35455 Z. Angew. Math. Phys. 75, No. 2, Paper No. 42, 22 p. (2024). MSC: 35R60 35R01 35Q85 60G60 60G15 60H15 PDFBibTeX XMLCite \textit{P. Broadbridge} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 42, 22 p. (2024; Zbl 1534.35455) Full Text: DOI arXiv OA License
Leonenko, N.; Olenko, A.; Vaz, J. On fractional spherically restricted hyperbolic diffusion random field. (English) Zbl 1532.60105 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107866, 15 p. (2024). MSC: 60G60 60G15 60D05 60K05 PDFBibTeX XMLCite \textit{N. Leonenko} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107866, 15 p. (2024; Zbl 1532.60105) Full Text: DOI
Alghamdi, Maha Mosaad A; Leonenko, Nikolai; Olenko, Andriy Multiscaling limit theorems for stochastic FPDE with cyclic long-range dependence. arXiv:2409.09215 Preprint, arXiv:2409.09215 [math.PR] (2024). BibTeX Cite \textit{M. M. A Alghamdi} et al., ``Multiscaling limit theorems for stochastic FPDE with cyclic long-range dependence'', Preprint, arXiv:2409.09215 [math.PR] (2024) Full Text: arXiv OA License
Ayache, Antoine; Kravchenko, Serhii; Olenko, Andriy On filter-type estimation of discretely sampled cyclic long-memory processes. arXiv:2407.12444 Preprint, arXiv:2407.12444 [math.ST] (2024). MSC: 62F10 62M15 62M10 91B84 BibTeX Cite \textit{A. Ayache} et al., ``On filter-type estimation of discretely sampled cyclic long-memory processes'', Preprint, arXiv:2407.12444 [math.ST] (2024) Full Text: arXiv OA License
Leonenko, Nikolai; Malyarenko, Anatoliy; Olenko, Andriy On spectral theory of random fields in the ball. (English) Zbl 1515.60157 Theory Probab. Math. Stat. 107, 61-76 (2022). MSC: 60G60 60G15 PDFBibTeX XMLCite \textit{N. Leonenko} et al., Theory Probab. Math. Stat. 107, 61--76 (2022; Zbl 1515.60157) Full Text: DOI arXiv
Malyarenko, A. (ed.); Mishura, Yu. (ed.); Olenko, A. (ed.); Ostoja-Starzewski, M. (ed.) Editorial. (English) Zbl 1498.00037 Theory Probab. Math. Stat. 107, 1 (2022). MSC: 00B15 60-06 62-06 PDFBibTeX XMLCite \textit{A. Malyarenko} (ed.) et al., Theory Probab. Math. Stat. 107, 1 (2022; Zbl 1498.00037) Full Text: DOI
Broadbridge, Philip; Nanayakkara, Ravindi; Olenko, Andriy On multifractionality of spherical random fields with cosmological applications. (English) Zbl 1505.60055 ANZIAM J. 64, No. 2, 90-118 (2022). MSC: 60G60 60G15 60G22 62M40 83F05 62P35 PDFBibTeX XMLCite \textit{P. Broadbridge} et al., ANZIAM J. 64, No. 2, 90--118 (2022; Zbl 1505.60055) Full Text: DOI arXiv
Donhauzer, Illia; Olenko, Andriy; Volodin, Andrei Strong law of large numbers for functionals of random fields with unboundedly increasing covariances. (English) Zbl 07585030 Commun. Stat., Theory Methods 51, No. 20, 6947-6962 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{I. Donhauzer} et al., Commun. Stat., Theory Methods 51, No. 20, 6947--6962 (2022; Zbl 07585030) Full Text: DOI arXiv Link
Al Hayek, Nour; Donhauzer, Illia; Giuliano, Rita; Olenko, Andriy; Volodin, Andrei Asymptotics of running maxima for \(\varphi \)-subgaussian random double arrays. (English) Zbl 1498.60112 Methodol. Comput. Appl. Probab. 24, No. 3, 1341-1366 (2022). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60F15 60G60 60G70 PDFBibTeX XMLCite \textit{N. Al Hayek} et al., Methodol. Comput. Appl. Probab. 24, No. 3, 1341--1366 (2022; Zbl 1498.60112) Full Text: DOI arXiv
Malyarenko, A. (ed.); Mishura, Yu. (ed.); Olenko, A. (ed.); Ostoja-Starzewski, M. (ed.) Editorial. (English) Zbl 1486.00036 Theory Probab. Math. Stat. 106, 1 (2022). MSC: 00B15 60-06 62-06 PDFBibTeX XMLCite \textit{A. Malyarenko} (ed.) et al., Theory Probab. Math. Stat. 106, 1 (2022; Zbl 1486.00036) Full Text: DOI
Alodat, Tareq; Olenko, Andriy On asymptotics of discretized functionals of long-range dependent functional data. (English) Zbl 07532284 Commun. Stat., Theory Methods 51, No. 2, 448-473 (2022). MSC: 60G60 62M30 62M40 60F99 62-XX PDFBibTeX XMLCite \textit{T. Alodat} and \textit{A. Olenko}, Commun. Stat., Theory Methods 51, No. 2, 448--473 (2022; Zbl 07532284) Full Text: DOI arXiv
Ayache, Antoine; Fradon, Myriam; Nanayakkara, Ravindi; Olenko, Andriy Asymptotic normality of simultaneous estimators of cyclic long-memory processes. (English) Zbl 1498.62175 Electron. J. Stat. 16, No. 1, 84-115 (2022). MSC: 62M15 62M10 60F05 60G60 62E20 62F12 PDFBibTeX XMLCite \textit{A. Ayache} et al., Electron. J. Stat. 16, No. 1, 84--115 (2022; Zbl 1498.62175) Full Text: DOI arXiv Link
Donhauzer, Illia; Olenko, Andriy On stationarity properties of generalized Hermite-type processes. (English) Zbl 1500.60026 Stochastics 93, No. 7, 1107-1121 (2021). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60G60 60F05 60G18 PDFBibTeX XMLCite \textit{I. Donhauzer} and \textit{A. Olenko}, Stochastics 93, No. 7, 1107--1121 (2021; Zbl 1500.60026) Full Text: DOI arXiv
Malyarenko, A. (ed.); Mishura, Yu. (ed.); Olenko, A. (ed.); Ostoja-Starzewski, M. (ed.); Sakhno, L. (ed.) Editorial. (English) Zbl 1476.00074 Theory Probab. Math. Stat. 105, 1-2 (2021). MSC: 00B15 60-06 62-06 91-06 PDFBibTeX XMLCite \textit{A. Malyarenko} (ed.) et al., Theory Probab. Math. Stat. 105, 1--2 (2021; Zbl 1476.00074) Full Text: DOI
Anh, V. V.; Olenko, A.; Wang, Y. G. Fractional stochastic partial differential equation for random tangent fields on the sphere. (English) Zbl 1473.35671 Theory Probab. Math. Stat. 104, 3-22 (2021). MSC: 35R60 35R11 60H15 60G60 33C55 60G22 PDFBibTeX XMLCite \textit{V. V. Anh} et al., Theory Probab. Math. Stat. 104, 3--22 (2021; Zbl 1473.35671) Full Text: DOI arXiv
Alodat, Tareq; Leonenko, Nikolai; Olenko, Andriy Limit theorems for filtered long-range dependent random fields. (English) Zbl 1490.60125 Stochastics 92, No. 8, 1175-1196 (2020). MSC: 60G60 60F17 60F05 60G35 PDFBibTeX XMLCite \textit{T. Alodat} et al., Stochastics 92, No. 8, 1175--1196 (2020; Zbl 1490.60125) Full Text: DOI arXiv Link
Olenko, Andriy; Omari, Dareen Reduction principle for functionals of strong-weak dependent vector random fields. (English) Zbl 1484.60058 Braz. J. Probab. Stat. 34, No. 4, 885-908 (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60G60 60F05 60F17 60G10 PDFBibTeX XMLCite \textit{A. Olenko} and \textit{D. Omari}, Braz. J. Probab. Stat. 34, No. 4, 885--908 (2020; Zbl 1484.60058) Full Text: DOI arXiv Euclid
Olenko, A. Ya. From subgaussianity to stochastic approximation and modelling. (Ukrainian. English summary) Zbl 1474.60095 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 84-88 (2020). MSC: 60G07 60G15 60G70 01A70 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 84--88 (2020; Zbl 1474.60095) Full Text: DOI OA License
Olenko, Andriy; Vaskovych, Volodymyr Non-central limit theorems for functionals of random fields on hypersurfaces. (English) Zbl 1461.60036 ESAIM, Probab. Stat. 24, 315-340 (2020). MSC: 60G60 60F05 60G12 PDFBibTeX XMLCite \textit{A. Olenko} and \textit{V. Vaskovych}, ESAIM, Probab. Stat. 24, 315--340 (2020; Zbl 1461.60036) Full Text: DOI arXiv
Olenko, Andriy; Omari, Dareen Reduction principle for functionals of vector random fields. (English) Zbl 1460.60046 Methodol. Comput. Appl. Probab. 22, No. 2, 573-598 (2020). MSC: 60G60 60F99 60B99 PDFBibTeX XMLCite \textit{A. Olenko} and \textit{D. Omari}, Methodol. Comput. Appl. Probab. 22, No. 2, 573--598 (2020; Zbl 1460.60046) Full Text: DOI arXiv
Alomari, Huda Mohammed; Ayache, Antoine; Fradon, Myriam; Olenko, Andriy Estimation of cyclic long-memory parameters. (English) Zbl 1444.62097 Scand. J. Stat. 47, No. 1, 104-133 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 62M10 62M15 60G07 42C40 PDFBibTeX XMLCite \textit{H. M. Alomari} et al., Scand. J. Stat. 47, No. 1, 104--133 (2020; Zbl 1444.62097) Full Text: DOI
Leonenko, Nikolai; Nanayakkara, Ravindi; Olenko, Andriy Analysis of Spherical Monofractal and Multifractal Random Fields. arXiv:2004.14522 Preprint, arXiv:2004.14522 [math.PR] (2020). MSC: 60G60 28A80 60K40 83F05 BibTeX Cite \textit{N. Leonenko} et al., ``Analysis of Spherical Monofractal and Multifractal Random Fields'', Preprint, arXiv:2004.14522 [math.PR] (2020) Full Text: DOI arXiv OA License
Fryer, Daniel; Olenko, Andriy Spherical data handling and analysis with R package rcosmo. (English) Zbl 1445.62329 Nguyen, Hien (ed.), Statistics and data science. Proceedings of the research school on statistics and data science, RSSDS 2019, Melbourne, Australia, July 24–26, 2019. Singapore: Springer. Commun. Comput. Inf. Sci. 1150, 211-225 (2019). MSC: 62R07 62H11 62P35 60G55 85A25 PDFBibTeX XMLCite \textit{D. Fryer} and \textit{A. Olenko}, Commun. Comput. Inf. Sci. 1150, 211--225 (2019; Zbl 1445.62329) Full Text: DOI arXiv
Broadbridge, Phil; Kolesnik, Alexander D.; Leonenko, Nikolai; Olenko, Andriy Random spherical hyperbolic diffusion. (English) Zbl 1427.35377 J. Stat. Phys. 177, No. 5, 889-916 (2019). MSC: 35R60 60G60 35R01 60G15 33C55 35P10 60G40 PDFBibTeX XMLCite \textit{P. Broadbridge} et al., J. Stat. Phys. 177, No. 5, 889--916 (2019; Zbl 1427.35377) Full Text: DOI arXiv Link
Anh, Vo; Leonenko, Nikolai; Olenko, Andriy; Vaskovych, Volodymyr On rate of convergence in non-central limit theorems. (English) Zbl 1428.62063 Bernoulli 25, No. 4A, 2920-2948 (2019). MSC: 60F05 60G60 60G15 60H07 PDFBibTeX XMLCite \textit{V. Anh} et al., Bernoulli 25, No. 4A, 2920--2948 (2019; Zbl 1428.62063) Full Text: DOI arXiv Euclid
Anh, Vo; Olenko, Andriy; Vaskovych, Volodymyr On LSE in regression model for long-range dependent random fields on spheres. (English) Zbl 1423.62049 Statistics 53, No. 5, 1131-1151 (2019). MSC: 62H11 62J05 60G60 60F05 PDFBibTeX XMLCite \textit{V. Anh} et al., Statistics 53, No. 5, 1131--1151 (2019; Zbl 1423.62049) Full Text: DOI arXiv
Broadbridge, Philip; Kolesnik, Alexander D.; Leonenko, Nikolai; Olenko, Andriy; Omari, Dareen Spherically Restricted Random Hyperbolic Diffusion. arXiv:1912.08378 Preprint, arXiv:1912.08378 [math.PR] (2019). MSC: 60G60 62L20 35R01 60H15 35A35 41A25 85A40 BibTeX Cite \textit{P. Broadbridge} et al., ``Spherically Restricted Random Hyperbolic Diffusion'', Preprint, arXiv:1912.08378 [math.PR] (2019) Full Text: DOI arXiv OA License
Li, Ming; Broadbridge, Philip; Olenko, Andriy; Wang, Yu Guang Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere. arXiv:1907.13339 Preprint, arXiv:1907.13339 [math.NA] (2019). MSC: 42C40 37C10 65T50 42C15 57R25 33C55 65T60 BibTeX Cite \textit{M. Li} et al., ``Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere'', Preprint, arXiv:1907.13339 [math.NA] (2019) Full Text: arXiv OA License
Alodat, T.; Olenko, A. Weak convergence of weighted additive functionals of long-range dependent fields. (English) Zbl 1409.60082 Theory Probab. Math. Stat. 97, 1-16 (2018) and Teor. Jmovirn. Mat. Stat. 97, 9-23 (2017). MSC: 60G60 60G12 60F05 PDFBibTeX XMLCite \textit{T. Alodat} and \textit{A. Olenko}, Theory Probab. Math. Stat. 97, 1--16 (2018; Zbl 1409.60082) Full Text: DOI arXiv
Alomari, Huda Mohammed; Ayache, Antoine; Fradon, Myriam; Olenko, Andriy Estimation of seasonal long-memory parameters. arXiv:1805.11905 Preprint, arXiv:1805.11905 [math.ST] (2018). MSC: 62M10 62M15 65T60 BibTeX Cite \textit{H. M. Alomari} et al., ``Estimation of seasonal long-memory parameters'', Preprint, arXiv:1805.11905 [math.ST] (2018) Full Text: arXiv OA License
Anh, Vo; Olenko, Andriy; Vaskovych, V. Non-central limit theorems and convergence rates. (English) Zbl 1390.60183 Theory Probab. Math. Stat. 95, 3-15 (2017) and Teor. Jmovirn. Mat. Stat. 95, 2-13 (2016). MSC: 60G60 60F05 60G12 PDFBibTeX XMLCite \textit{V. Anh} et al., Theory Probab. Math. Stat. 95, 3--15 (2017; Zbl 1390.60183) Full Text: DOI
Kozachenko, Yuriy; Olenko, Andriy Aliasing-truncation errors in sampling approximations of sub-Gaussian signals. (English) Zbl 1359.94381 IEEE Trans. Inf. Theory 62, No. 10, 5831-5838 (2016). MSC: 94A20 PDFBibTeX XMLCite \textit{Y. Kozachenko} and \textit{A. Olenko}, IEEE Trans. Inf. Theory 62, No. 10, 5831--5838 (2016; Zbl 1359.94381) Full Text: DOI arXiv
Kozachenko, Yuriy; Olenko, Andriy Whittaker-Kotel’nikov-Shannon approximation of \(\phi\)-sub-Gaussian random processes. (English) Zbl 1342.60048 J. Math. Anal. Appl. 443, No. 2, 926-946 (2016). MSC: 60F99 60F25 60G15 PDFBibTeX XMLCite \textit{Y. Kozachenko} and \textit{A. Olenko}, J. Math. Anal. Appl. 443, No. 2, 926--946 (2016; Zbl 1342.60048) Full Text: DOI arXiv
Espejo, Rosa M.; Leonenko, Nikolai N.; Olenko, Andriy; Ruiz-Medina, María D. On a class of minimum contrast estimators for Gegenbauer random fields. (English) Zbl 1329.62109 Test 24, No. 4, 657-680 (2015). MSC: 62F12 62M30 60G60 60G15 PDFBibTeX XMLCite \textit{R. M. Espejo} et al., Test 24, No. 4, 657--680 (2015; Zbl 1329.62109) Full Text: DOI arXiv
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga Convergence in \(L_{p}([0, T])\) of wavelet expansions of \(\varphi\)-sub-Gaussian random processes. (English) Zbl 1310.60028 Methodol. Comput. Appl. Probab. 17, No. 1, 139-153 (2015). MSC: 60G15 60G10 42C40 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Methodol. Comput. Appl. Probab. 17, No. 1, 139--153 (2015; Zbl 1310.60028) Full Text: DOI arXiv
Anh, Vo; Leonenko, Nikolai; Olenko, Andriy On the rate of convergence to Rosenblatt-type distribution. (English) Zbl 1329.60020 J. Math. Anal. Appl. 425, No. 1, 111-132 (2015). MSC: 60F05 60G60 PDFBibTeX XMLCite \textit{V. Anh} et al., J. Math. Anal. Appl. 425, No. 1, 111--132 (2015; Zbl 1329.60020) Full Text: DOI arXiv
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga Uniform convergence of compactly supported wavelet expansions of Gaussian random processes. (English) Zbl 1308.60041 Commun. Stat., Theory Methods 43, No. 10-12, 2549-2562 (2014). MSC: 60G15 42C40 60G10 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Commun. Stat., Theory Methods 43, No. 10--12, 2549--2562 (2014; Zbl 1308.60041) Full Text: DOI arXiv
Leonenko, Nikolai; Olenko, Andriy Sojourn measures of Student and Fisher-Snedecor random fields. (English) Zbl 1304.60058 Bernoulli 20, No. 3, 1454-1483 (2014). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G60 60G09 60G17 PDFBibTeX XMLCite \textit{N. Leonenko} and \textit{A. Olenko}, Bernoulli 20, No. 3, 1454--1483 (2014; Zbl 1304.60058) Full Text: DOI arXiv Euclid
Leonenko, Nikolai; Olenko, Andriy Tauberian and Abelian theorems for long-range dependent random fields. (English) Zbl 1307.60068 Methodol. Comput. Appl. Probab. 15, No. 4, 715-742 (2013). MSC: 60G60 62E20 40E05 PDFBibTeX XMLCite \textit{N. Leonenko} and \textit{A. Olenko}, Methodol. Comput. Appl. Probab. 15, No. 4, 715--742 (2013; Zbl 1307.60068) Full Text: DOI arXiv
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga On convergence of general wavelet decompositions of nonstationary stochastic processes. (English) Zbl 1291.60073 Electron. J. Probab. 18, Paper No. 69, 21 p. (2013). Reviewer: Miroslav M. Ristic (Niš) MSC: 60G15 42C40 60G22 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Electron. J. Probab. 18, Paper No. 69, 21 p. (2013; Zbl 1291.60073) Full Text: DOI arXiv
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga Convergence rate of wavelet expansions of Gaussian random processes. (English) Zbl 1278.60071 Commun. Stat., Theory Methods 42, No. 21, 3853-3872 (2013). MSC: 60G15 60G10 42C40 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Commun. Stat., Theory Methods 42, No. 21, 3853--3872 (2013; Zbl 1278.60071) Full Text: DOI arXiv
Olenko, Andriy Limit theorems for weighted functionals of cyclical long-range dependent random fields. (English) Zbl 1267.60056 Stochastic Anal. Appl. 31, No. 2, 199-213 (2013). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G60 60F17 PDFBibTeX XMLCite \textit{A. Olenko}, Stochastic Anal. Appl. 31, No. 2, 199--213 (2013; Zbl 1267.60056) Full Text: DOI arXiv
Klykavka, Boris; Olenko, Andriy; Vicendese, Matthew Asymptotic behavior of functionals of cyclic long-range dependent random fields. (English. Russian original) Zbl 1263.60048 J. Math. Sci., New York 187, No. 1, 35-48 (2012); translation from Ukr. Mat. Visn. 9, No. 2, 191-208 (2012). MSC: 60G60 60F05 PDFBibTeX XMLCite \textit{B. Klykavka} et al., J. Math. Sci., New York 187, No. 1, 35--48 (2012; Zbl 1263.60048); translation from Ukr. Mat. Visn. 9, No. 2, 191--208 (2012) Full Text: DOI arXiv
Korolyuk, V. S.; Zakusilo, O. K.; Gorodnij, M. F.; Bagro, G. S.; Borisenko, O. D.; Vasilik, O. I.; Kartashov, M. V.; Kozachenko, Yu. V.; Kurchenko, O. O.; Lapida, T. M.; Majboroda, R. E.; Mishura, Yu. S.; Moklyachuk, M. P.; Olenko, A. Ya.; Ponomarenko, O. I. Obituary: Mikhajlo Josypovych Yadrenko (16.04.1932–28.09.2004). (Ukrainian. English summary) Zbl 1274.01086 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 28, 60-61 (2012). MSC: 01A70 60-03 62-03 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 28, 60--61 (2012; Zbl 1274.01086)
Olenko, Andriy; Pogány, Tibor Average sampling restoration of harmonizable processes. (English) Zbl 1315.60041 Commun. Stat., Theory Methods 40, No. 19-20, 3587-3598 (2011). MSC: 60G12 94A20 PDFBibTeX XMLCite \textit{A. Olenko} and \textit{T. Pogány}, Commun. Stat., Theory Methods 40, No. 19--20, 3587--3598 (2011; Zbl 1315.60041) Full Text: DOI arXiv
Olenko, Andriy Ya.; Pogány, Tibor K. Universal truncation error upper bounds in irregular sampling restoration. (English) Zbl 1210.94076 Appl. Anal. 90, No. 3-4, 595-608 (2011). MSC: 94A20 26D15 30D15 41A05 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{T. K. Pogány}, Appl. Anal. 90, No. 3--4, 595--608 (2011; Zbl 1210.94076) Full Text: DOI arXiv
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga Uniform convergence of wavelet expansions of Gaussian random processes. (English) Zbl 1215.60026 Stochastic Anal. Appl. 29, No. 2, 169-184 (2011). MSC: 60G15 60G10 42C40 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Stochastic Anal. Appl. 29, No. 2, 169--184 (2011; Zbl 1215.60026) Full Text: DOI arXiv
Olenko, Andriy Ya.; Pogány, Tibor K. Universal truncation error upper bounds in sampling restoration. (English) Zbl 1203.94082 Georgian Math. J. 17, No. 4, 765-786 (2010). MSC: 94A20 41A25 41A05 41A17 41A80 26D15 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{T. K. Pogány}, Georgian Math. J. 17, No. 4, 765--786 (2010; Zbl 1203.94082) Full Text: DOI arXiv
Olenko, A. Ya.; Klykavka, B. M. A limit theorem for random fields with a singularity in the spectrum. (Ukrainian, English) Zbl 1224.60115 Teor. Jmovirn. Mat. Stat. 81, 128-138 (2009); translation in Theory Probab. Math. Stat. 81, 147-158 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G60 60F17 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{B. M. Klykavka}, Teor. Ĭmovirn. Mat. Stat. 81, 128--138 (2009; Zbl 1224.60115); translation in Theory Probab. Math. Stat. 81, 147--158 (2010) Full Text: DOI
Olenko, Andriy Ya.; Pogány, Tibor K. Convergence rate in multidimensional irregular sampling restoration. (English) Zbl 1185.94039 J. Math. Inequal. 3, No. 4, 567-576 (2009). MSC: 94A20 26D15 30D15 41A05 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{T. K. Pogány}, J. Math. Inequal. 3, No. 4, 567--576 (2009; Zbl 1185.94039) Full Text: DOI Link
Klykavka, B. M.; Olenko, A. Ya. Asymptotic properties of weight functions. (Ukrainian. English summary) Zbl 1199.60177 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2008, No. 4, 20-23 (2008). MSC: 60G60 PDFBibTeX XMLCite \textit{B. M. Klykavka} and \textit{A. Ya. Olenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2008, No. 4, 20--23 (2008; Zbl 1199.60177)
Olenko, A. Ya.; Pogany, T. K. On sharp bounds for remainders in multidimensional sampling theorem. (English) Zbl 1156.94324 Sampl. Theory Signal Image Process. 6, No. 3, 249-272 (2007). MSC: 94A20 60G12 26D15 30D15 41A05 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{T. K. Pogany}, Sampl. Theory Signal Image Process. 6, No. 3, 249--272 (2007; Zbl 1156.94324)
Olenko, Andriy Some properties of weight functions in Tauberian theorems. (English) Zbl 1142.60351 Theory Stoch. Process. 13, No. 29, Part 1-2, 194-204 (2007). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G60 40E05 26A12 44A15 PDFBibTeX XMLCite \textit{A. Olenko}, Theory Stoch. Process. 13(29), No. 1--2, 194--204 (2007; Zbl 1142.60351)
Olenko, A. Ya. A Tauberian theorem for the fields with \(OR\) spectrum. II. (Ukrainian, English) Zbl 1150.60027 Teor. Jmovirn. Mat. Stat. 74, 81-97 (2006); translation in Theory Probab. Math. Stat. 74, 93-111 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60G60 60F05 62E20 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Teor. Ĭmovirn. Mat. Stat. 74, 81--97 (2006; Zbl 1150.60027); translation in Theory Probab. Math. Stat. 74, 93--111 (2007) Full Text: Link
Olenko, A. Ya. On sharpness of aliasing error upper bounds for truncated cardinal series. (English) Zbl 1156.94323 Sampl. Theory Signal Image Process. 5, No. 3, 257-273 (2006). MSC: 94A20 26D15 30Dxx PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Sampl. Theory Signal Image Process. 5, No. 3, 257--273 (2006; Zbl 1156.94323)
Olenko, Andriy; Klykavka, Boris Some properties of weight functions in Tauberian theorems. I. (English) Zbl 1141.60029 Theory Stoch. Process. 12, No. 28, Part 3-4, 123-136 (2006). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G60 62E20 40E05 PDFBibTeX XMLCite \textit{A. Olenko} and \textit{B. Klykavka}, Theory Stoch. Process. 12(28), No. 3--4, 123--136 (2006; Zbl 1141.60029)
Olenko, Andrew Ya.; Pogány, Tibor K. Time shifted aliasing error upper bounds for truncated sampling cardinal series. (English) Zbl 1105.94002 J. Math. Anal. Appl. 324, No. 1, 262-280 (2006). MSC: 94A20 41A30 41A25 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{T. K. Pogány}, J. Math. Anal. Appl. 324, No. 1, 262--280 (2006; Zbl 1105.94002) Full Text: DOI
Olenko, A. Ya.; Klykavka, B. M. The Tauberian theorem for fields on a plane. (Ukrainian. English summary) Zbl 1097.60037 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 6, 19-25 (2006). MSC: 60G60 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{B. M. Klykavka}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 6, 19--25 (2006; Zbl 1097.60037)
Olenko, A. Ya. Upper bound on \(\sqrt x J_{\nu }(x)\) and its applications. (English) Zbl 1105.33007 Integral Transforms Spec. Funct. 17, No. 6, 455-467 (2006). Reviewer: Ravi N. Kalia (St. Cloud) MSC: 33C10 26A12 44A15 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Integral Transforms Spec. Funct. 17, No. 6, 455--467 (2006; Zbl 1105.33007) Full Text: DOI
Olenko, A. Ya. Tauberian theorems for random fields with an OR spectrum. I. (Ukrainian, English) Zbl 1115.60056 Teor. Jmovirn. Mat. Stat. 73, 120-133 (2005); translation in Theory Probab. Math. Stat. 73, 135-149 (2006). MSC: 60G60 62E20 40E05 60F05 26A12 44A15 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Teor. Ĭmovirn. Mat. Stat. 73, 120--133 (2005; Zbl 1115.60056); translation in Theory Probab. Math. Stat. 73, 135--149 (2006) Full Text: Link
Olenko, A. Ya. An estimate of the mean square error of interpolation of stochastic processes. (Ukrainian, English) Zbl 1124.60035 Teor. Jmovirn. Mat. Stat. 72, 101-110 (2005); translation in Theory Probab. Math. Stat. 72, 113-123 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G12 94A20 26D15 30D15 41A05 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Teor. Ĭmovirn. Mat. Stat. 72, 101--110 (2005; Zbl 1124.60035); translation in Theory Probab. Math. Stat. 72, 113--123 (2006) Full Text: Link
Olenko, A. Ya. Bounds comparison for approximation remainder in sampling theorem. (Ukrainian. English summary) Zbl 1099.94018 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 13, 41-44 (2005). MSC: 94A20 62M99 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 13, 41--44 (2005; Zbl 1099.94018)
Olenko, A. Ya.; Pogány, T. K. A precise upper bound for the error of interpolation of stochastic processes. (Ukrainian, English) Zbl 1097.60023 Teor. Jmovirn. Mat. Stat. 71, 133-144 (2004); translation in Theory Probab. Math. Stat. 71, 151-163 (2005). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G12 94A20 26D15 30D15 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{T. K. Pogány}, Teor. Ĭmovirn. Mat. Stat. 71, 133--144 (2004; Zbl 1097.60023); translation in Theory Probab. Math. Stat. 71, 151--163 (2005) Full Text: Link
Høst, Gudmund; Olenko, Andriy Random fields model for estimating abundance of Norwegian herring. (English) Zbl 1064.60106 Theory Stoch. Process. 10(26), No. 1-2, 13-34 (2004). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G60 86A32 92D25 PDFBibTeX XMLCite \textit{G. Høst} and \textit{A. Olenko}, Theory Stoch. Process. 10(26), No. 1--2, 13--34 (2004; Zbl 1064.60106)
Olenko, Andrij Ya. Upper bound for interpolation remainder in multidimensional sampling theorem. (Ukrainian. English summary) Zbl 1067.94010 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 49-53 (2004). MSC: 94A20 62D05 60G60 62M40 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 49--53 (2004; Zbl 1067.94010)
Olenko, Andriy Ya.; Pogány, Tibor K. Lagrange-Yen interpolation of random fields. (English) Zbl 1064.60110 Theory Stoch. Process. 9(25), No. 3-4, 145-156 (2003). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G60 60F25 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{T. K. Pogány}, Theory Stoch. Process. 9(25), No. 3--4, 145--156 (2003; Zbl 1064.60110)
Leifura, V. M.; Nekrashevich, V. V.; Olenko, A. Ya.; Radchenko, V. M.; Yasinskiy, V. A. XLI all-Ukrainian olympiad of young mathematicians. (Ukrainian) Zbl 1224.97022 Sviti Mat. 7, No. 2, 64-74 (2001). Reviewer: A. Ya. Olenko (Kyïv) MSC: 97U40 PDFBibTeX XMLCite \textit{V. M. Leifura} et al., Sviti Mat. 7, No. 2, 64--74 (2001; Zbl 1224.97022)
Olenko, Andrij Ya.; Pavlov, Dmytro V. On some properties of probability metrics. (English) Zbl 0976.60054 Theory Stoch. Process. 7(23), No. 1-2, 265-272 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G60 60E99 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{D. V. Pavlov}, Theory Stoch. Process. 7(23), No. 1--2, 265--272 (2001; Zbl 0976.60054)
Olenko, A. Ya.; Pavlov, D. V. On some estimates for the closeness of correlation and spectral functions of random fields. (Ukrainian. English summary) Zbl 0978.60049 Nauk. Zap., Kyïv 18, 17-91 (2000). MSC: 60G60 62M40 PDFBibTeX XMLCite \textit{A. Ya. Olenko} and \textit{D. V. Pavlov}, Nauk. Zap., Kyïv 18, 17--91 (2000; Zbl 0978.60049)
Olenko, Andrij Statistical analysis of economic time series. (English) Zbl 1054.91570 Theory Stoch. Process. 6(22), No. 3-4, 155-160 (2000). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 91B84 91-01 PDFBibTeX XMLCite \textit{A. Olenko}, Theory Stoch. Process. 6(22), No. 3--4, 155--160 (2000; Zbl 1054.91570)
Olenko, A. Ya. Influence index. (Ukrainian) Zbl 1032.91512 Sviti Mat. 4, No. 4, 9-14 (1998). Reviewer: R.E.Majboroda (Kyïv) MSC: 91A12 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Sviti Mat. 4, No. 4, 9--14 (1998; Zbl 1032.91512)
Olenko, Andrew Ya. On properties of correlation functions with common distribution function. (English) Zbl 0933.60049 Theory Stoch. Process. 3(19), No. 3-4, 347-354 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G60 60E99 60B11 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Theory Stoch. Process. 3(19), No. 3--4, 347--354 (1997; Zbl 0933.60049)
Olenko, A. Ya. On some properties of correlation and spectral functions of random fields. (Ukrainian) Zbl 0932.60060 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1997, No. 4, 82-90 (1997). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G60 60E10 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1997, No. 4, 82--90 (1997; Zbl 0932.60060)
Olenko, A. Ya. Tauberian and Abelian theorems for random fields with strong dependence. (English. Ukrainian original) Zbl 0948.60033 Ukr. Math. J. 48, No. 3, 412-427 (1996); translation from Ukr. Mat. Zh. 48, No. 3, 368-382 (1996). MSC: 60G60 60F05 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Ukr. Math. J. 48, No. 3, 412--427 (1996; Zbl 0948.60033); translation from Ukr. Mat. Zh. 48, No. 3, 368--382 (1996) Full Text: DOI
Olenko, A. Ya. Covariant Markov random fields on a lattice. (English. Ukrainian original) Zbl 0840.60046 Theory Probab. Math. Stat. 48, 111-115 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 155-160 (1993). MSC: 60G60 60J25 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0840.60046); translation from Teor. Jmovirn. Mat. Stat. 48, 155--160 (1993)
Leonenko, N. N.; Olenko, A. Ya. Tauberian theorems for correlation functions and limit theorems for spherical averages of random fields. (English) Zbl 0842.60049 Random Oper. Stoch. Equ. 1, No. 1, 57-67 (1993). MSC: 60G60 60F05 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{A. Ya. Olenko}, Random Oper. Stoch. Equ. 1, No. 1, 57--67 (1993; Zbl 0842.60049) Full Text: DOI
Olenko, A. Ya. On proximity of the spectral functions of homogeneous isotropic fields. (English. Russian original) Zbl 0836.60057 Theory Probab. Math. Stat. 46, 117-119 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 120-124 (1992). MSC: 60G60 60E99 PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Theory Probab. Math. Stat. 46, 1 (1992; Zbl 0836.60057); translation from Teor. Jmovirn. Mat. Stat. 46, 120--124 (1992)
Mal’yarenko, A. A.; Olenko, A. Ya. Multidimensional covariant random fields on commutative locally compact groups. (English. Russian original) Zbl 0786.60068 Ukr. Math. J. 44, No. 11, 1384-1389 (1992); translation from Ukr. Mat. Zh. 44, No. 11, 1505-1510 (1992). MSC: 60G60 60H05 60B15 PDFBibTeX XMLCite \textit{A. A. Mal'yarenko} and \textit{A. Ya. Olenko}, Ukr. Mat. Zh. 44, No. 11, 1505--1510 (1992; Zbl 0786.60068); translation from Ukr. Mat. Zh. 44, No. 11, 1505--1510 (1992) Full Text: DOI
Leonenko, N. N.; Olenko, A. Ya. Tauberian and Abelian theorems for correlation function of a homogeneous isotropic random field. (English. Russian original) Zbl 0753.60048 Ukr. Math. J. 43, No. 12, 1539-1548 (1991); translation from Ukr. Mat. Zh. 43, No. 12, 1652-1664 (1991). Reviewer: N.Leonenko (Kiev) MSC: 60G60 62M40 44A15 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{A. Ya. Olenko}, Ukr. Math. J. 43, No. 12, 1539--1548 (1991; Zbl 0753.60048); translation from Ukr. Mat. Zh. 43, No. 12, 1652--1664 (1991) Full Text: DOI