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<m:mo>(<\/m:mo>\n                                 <m:mn>0<\/m:mn>\n                                 <m:mo>,<\/m:mo>\n                                 <m:mn>2<\/m:mn>\n                                 <m:mo>)<\/m:mo>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_mcma-2018-0016_eq_0245.png\"\/>\n                        <jats:tex-math>{\\alpha\\in(0,2)}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, which\napproximates such a process with given reliability <jats:inline-formula id=\"j_mcma-2018-0016_ineq_9998_w2aab3b7b3b1b6b1aab1c16b1b3Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mn>1<\/m:mn>\n                              <m:mo>-<\/m:mo>\n                              <m:mi>\u03b4<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_mcma-2018-0016_eq_0204.png\"\/>\n                        <jats:tex-math>{1-\\delta}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>,\n<jats:inline-formula id=\"j_mcma-2018-0016_ineq_9997_w2aab3b7b3b1b6b1aab1c16b1b5Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mn>0<\/m:mn>\n                              <m:mo>&lt;<\/m:mo>\n                              <m:mi>\u03b4<\/m:mi>\n                              <m:mo>&lt;<\/m:mo>\n                              <m:mn>1<\/m:mn>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_mcma-2018-0016_eq_0197.png\"\/>\n                        <jats:tex-math>{0&lt;\\delta&lt;1}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, and accuracy <jats:inline-formula id=\"j_mcma-2018-0016_ineq_9996_w2aab3b7b3b1b6b1aab1c16b1b7Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>\u03b5<\/m:mi>\n                              <m:mo>&gt;<\/m:mo>\n                              <m:mn>0<\/m:mn>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_mcma-2018-0016_eq_0281.png\"\/>\n                        <jats:tex-math>{\\varepsilon&gt;0}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> in the space <jats:inline-formula id=\"j_mcma-2018-0016_ineq_9995_w2aab3b7b3b1b6b1aab1c16b1b9Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>C<\/m:mi>\n                              <m:mo>\u2062<\/m:mo>\n                              <m:mrow>\n                                 <m:mo>(<\/m:mo>\n                                 <m:mrow>\n                                    <m:mo>[<\/m:mo>\n                                    <m:mn>0<\/m:mn>\n                                    <m:mo>,<\/m:mo>\n                                    <m:mi>T<\/m:mi>\n                                    <m:mo>]<\/m:mo>\n                                 <\/m:mrow>\n                                 <m:mo>)<\/m:mo>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_mcma-2018-0016_eq_0206.png\"\/>\n                        <jats:tex-math>{C([0,T])}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>.\nAn Example of a simulation in <jats:inline-formula id=\"j_mcma-2018-0016_ineq_9994_w2aab3b7b3b1b6b1aab1c16b1c11Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>C<\/m:mi>\n                              <m:mo>\u2062<\/m:mo>\n                              <m:mrow>\n                                 <m:mo>(<\/m:mo>\n                                 <m:mrow>\n                                    <m:mo>[<\/m:mo>\n                                    <m:mn>0<\/m:mn>\n                                    <m:mo>,<\/m:mo>\n                                    <m:mn>1<\/m:mn>\n                                    <m:mo>]<\/m:mo>\n                                 <\/m:mrow>\n                                 <m:mo>)<\/m:mo>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_mcma-2018-0016_eq_0205.png\"\/>\n                        <jats:tex-math>{C([0,1])}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> is given.<\/jats:p>","DOI":"10.1515\/mcma-2018-0016","type":"journal-article","created":{"date-parts":[[2018,7,14]],"date-time":"2018-07-14T17:23:17Z","timestamp":1531588997000},"page":"179-192","source":"Crossref","is-referenced-by-count":2,"title":["Simulation of generalized fractional Brownian motion in <i>C<\/i>([0,<i>T<\/i>])"],"prefix":"10.1515","volume":"24","author":[{"given":"Yuriy","family":"Kozachenko","sequence":"first","affiliation":[{"name":"Department of Probability Theory, Statistics and Actuarial Mathematics , Faculty of Mechanics and Mathematics , Taras Shevchenko National University of Kyiv , 60 Volodymyrska Str., 01601 Kyiv ; and Department of Probability Theory and Mathematical Statistics, Faculty of Mathematics and Information Technology, Vasyl Stus Donetsk National University, 600-Richya Str. 21, 21021 Vinnytsia , Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anatolii","family":"Pashko","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science and Cybernetics , Taras Shevchenko National University of Kyiv , 60 Volodymyrska Str., 01601 Kyiv , Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0880-3751","authenticated-orcid":false,"given":"Olga","family":"Vasylyk","sequence":"additional","affiliation":[{"name":"Department of Probability Theory, Statistics and Actuarial Mathematics , Faculty of Mechanics and Mathematics , Taras Shevchenko National University of Kyiv , 60 Volodymyrska Str., 01601 Kyiv , Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2018,7,13]]},"reference":[{"key":"2024101615290630353_j_mcma-2018-0016_ref_001_w2aab3b7b3b1b6b1ab1b6b1Aa","doi-asserted-by":"crossref","unstructured":"J.-F.  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Probab. 7 (2005), no. 3, 379\u2013400.","DOI":"10.1007\/s11009-005-4523-y"},{"key":"2024101615290630353_j_mcma-2018-0016_ref_018_w2aab3b7b3b1b6b1ab1b6c18Aa","unstructured":"Y.  Kozachenko and O. I.  Vasilik,\nOn the distribution of suprema of Sub\u03c6\u2062(\u03a9){\\rm Sub}_{\\varphi}(\\Omega) random processes,\nTheory Stoch. Process. 4(20) (1998), no. 1\u20132, 147\u2013160."},{"key":"2024101615290630353_j_mcma-2018-0016_ref_019_w2aab3b7b3b1b6b1ab1b6c19Aa","unstructured":"Y.  Kozachenko, R.  Yamnenko and O.  Vasylyk,\n\u03c6-Sub-Gaussian Random Process (in Ukrainian),\nKyivskyi Universytet, Kyiv, 2008."},{"key":"2024101615290630353_j_mcma-2018-0016_ref_020_w2aab3b7b3b1b6b1ab1b6c20Aa","doi-asserted-by":"crossref","unstructured":"P. R.  Kramer, O.  Kurbanmuradov and K.  Sabelfeld,\nComparative analysis of multiscale Gaussian random field simulation algorithms,\nJ. Comput. 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