{"id":444,"date":"2023-01-14T18:41:56","date_gmt":"2023-01-14T18:41:56","guid":{"rendered":"https:\/\/do.csc.knu.ua\/?page_id=444"},"modified":"2026-05-04T17:39:30","modified_gmt":"2026-05-04T17:39:30","slug":"%d1%96%d0%ba%d1%81%d0%b0%d0%bd%d0%be%d0%b2-%d0%be-%d0%bc-%d0%b5%d0%bb%d0%b5%d0%bc%d0%b5%d0%bd%d1%82%d0%b8-%d1%82%d0%b5%d0%be%d1%80%d1%96%d1%97-%d0%b2%d1%96%d0%b4%d0%bd%d0%be%d0%b2%d0%bb%d0%b5%d0%bd","status":"publish","type":"page","link":"https:\/\/do.csc.knu.ua\/?page_id=444","title":{"rendered":"\u0406\u043a\u0441\u0430\u043d\u043e\u0432 \u041e.\u041c. \u0414\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0456 \u0440\u043e\u0437\u0434\u0456\u043b\u0438 \u0430\u043d\u0430\u043b\u0456\u0437\u0443 \u0442\u0430 \u0442\u0435\u043e\u0440\u0456\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439"},"content":{"rendered":"<p>\u041a\u043e\u043d\u0441\u043f\u0435\u043a\u0442 \u043b\u0435\u043a\u0446\u0456\u0439 \u0434\u043e \u0441\u043f\u0435\u0446\u043a\u0443\u0440\u0441\u0443 &#8220;<a href=\"https:\/\/do.csc.knu.ua\/wp-content\/uploads\/2025\/03\/LN_renewal.pdf\">\u0415\u043b\u0435\u043c\u0435\u043d\u0442\u0438 \u0442\u0435\u043e\u0440\u0456\u0457 \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f<\/a>&#8221;<\/p>\n<p>\u041a\u043e\u043d\u0441\u043f\u0435\u043a\u0442 \u043b\u0435\u043a\u0446\u0456\u0439 &#8220;<a href=\"https:\/\/do.csc.knu.ua\/wp-content\/uploads\/2023\/01\/Char_funct_XIan2019.pdf\">Characteristic functions and their relatives in probability theory<\/a>&#8221;<\/p>\n<p>\u041a\u043e\u043d\u0442\u0440\u043e\u043b\u044c\u043d\u0456 <a href=\"https:\/\/do.csc.knu.ua\/wp-content\/uploads\/2023\/01\/questions_renewal_2012.pdf\">\u0437\u0430\u043f\u0438\u0442\u0430\u043d\u043d\u044f<\/a><\/p>\n<p>\u041c\u0435\u0442\u043e\u0434\u0438\u0447\u043d\u0438\u0439 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a &#8220;<a href=\"https:\/\/do.csc.knu.ua\/wp-content\/uploads\/2026\/04\/25-problems-new.pdf\">25 \u0437\u0430\u0434\u0430\u0447 \u0442\u0435\u043e\u0440\u0456\u0457 \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u0430 \u0457\u0445 \u0440\u043e\u0437\u0432&#8217;\u044f\u0437\u0430\u043d\u043d\u044f<\/a>&#8221; (\u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0440\u043e\u0437\u0432&#8217;\u044f\u0437\u0430\u043d\u043d\u044f \u0442\u0438\u043f\u043e\u0432\u0438\u0445 \u0437\u0430\u0434\u0430\u0447)<\/p>\n<p>\u041f\u0435\u0440\u0448\u0435 <a href=\"https:\/\/do.csc.knu.ua\/wp-content\/uploads\/2026\/03\/Ex-sheet01-2026.pdf\">\u0434\u043e\u043c\u0430\u0448\u043d\u0454 \u0437\u0430\u0432\u0434\u0430\u043d\u043d\u044f<\/a> (\u0442\u0435\u0440\u043c\u0456\u043d \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043d\u044f &#8211; 27 \u043a\u0432\u0456\u0442\u043d\u044f 2026 \u0440. \u0432\u043a\u043b\u044e\u0447\u043d\u043e)<\/p>\n<p>\u0414\u0440\u0443\u0433\u0435 <a href=\"https:\/\/do.csc.knu.ua\/wp-content\/uploads\/2026\/05\/Ex_sheet02_ukr2026.pdf\">\u0434\u043e\u043c\u0430\u0448\u043d\u0454 \u0437\u0430\u0432\u0434\u0430\u043d\u043d\u044f<\/a> (\u0442\u0435\u0440\u043c\u0456\u043d \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043d\u044f &#8211; 26 \u0442\u0440\u0430\u0432\u043d\u044f 2026 \u0440. \u0432\u043a\u043b\u044e\u0447\u043d\u043e)<\/p>\n<p>\u041b\u0456\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430 \u0434\u043e \u043a\u0443\u0440\u0441\u0443:<\/p>\n<ol>\n<li>G. Alsmeyer (2014+).&#8221;<a href=\"https:\/\/do.csc.knu.ua\/wp-content\/uploads\/2023\/01\/Alsmeyer_book.pdf\">Renewal, recurrence and regeneration<\/a>&#8220;. \u0426\u0435 \u0454 \u043f\u043e\u0442\u043e\u0447\u043d\u0438\u0439 \u0432\u0430\u0440\u0456\u0430\u043d\u0442 \u043d\u0435\u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u043e\u0457 \u043a\u043d\u0438\u0433\u0438 \u0437\u043d\u0430\u043d\u043e\u0433\u043e \u0441\u043f\u0435\u0446\u0456\u0430\u043b\u0456\u0441\u0442\u0430 \u0437 \u0442\u0435\u043e\u0440\u0456\u0457 \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f. \u041f\u0440\u043e\u0442\u0435 \u0431\u0430\u0433\u0430\u0442\u043e \u0442\u043e\u0433\u043e, \u0449\u043e \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u0434\u043b\u044f \u0434\u0430\u043d\u043e\u0433\u043e \u043a\u0443\u0440\u0441\u0443, \u0443 \u0446\u0456\u0439 \u0432\u0435\u0440\u0441\u0456\u0457 \u0454.<\/li>\n<li>R. Durrett (2010). &#8220;Probability Theory and Examples&#8221;, 4th edition, Cambridge University Press (\u0442\u0435\u043e\u0440\u0456\u0457 \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f \u043f\u0440\u0438\u0441\u0432\u044f\u0447\u0435\u043d\u043e \u0440\u043e\u0437\u0434\u0456\u043b 4.4).<\/li>\n<li>A. Gut (2009). &#8220;Stopped random walks&#8221;, 2nd edition, Springer-Verlag (\u0440\u0430\u0434\u0436\u0443 \u043f\u0440\u043e\u0447\u0438\u0442\u0430\u0442\u0438 \u0440\u043e\u0437\u0434\u0456\u043b\u0438 2-3).<\/li>\n<li>K.V. Mitov and E. Omey (2014). &#8220;Renewal processes&#8221;, Springer.<\/li>\n<li>S. Resnick (2005). &#8220;Adventures in Stochastic Processes&#8221;, Boston: Birkhauser, 4th printing (\u0442\u0435\u043e\u0440\u0456\u0457 \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f \u043f\u0440\u0438\u0441\u0432\u044f\u0447\u0435\u043d\u043e \u0440\u043e\u0437\u0434\u0456\u043b 3).<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u041a\u043e\u043d\u0441\u043f\u0435\u043a\u0442 \u043b\u0435\u043a\u0446\u0456\u0439 \u0434\u043e \u0441\u043f\u0435\u0446\u043a\u0443\u0440\u0441\u0443 &#8220;\u0415\u043b\u0435\u043c\u0435\u043d\u0442\u0438 \u0442\u0435\u043e\u0440\u0456\u0457 \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f&#8221; \u041a\u043e\u043d\u0441\u043f\u0435\u043a\u0442 \u043b\u0435\u043a\u0446\u0456\u0439 &#8220;Characteristic functions and their relatives in probability theory&#8221; \u041a\u043e\u043d\u0442\u0440\u043e\u043b\u044c\u043d\u0456 \u0437\u0430\u043f\u0438\u0442\u0430\u043d\u043d\u044f \u041c\u0435\u0442\u043e\u0434\u0438\u0447\u043d\u0438\u0439 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a &#8220;25 \u0437\u0430\u0434\u0430\u0447 \u0442\u0435\u043e\u0440\u0456\u0457 \u0432\u0456\u0434\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u0430 \u0457\u0445 \u0440\u043e\u0437\u0432&#8217;\u044f\u0437\u0430\u043d\u043d\u044f&#8221; (\u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0440\u043e\u0437\u0432&#8217;\u044f\u0437\u0430\u043d\u043d\u044f \u0442\u0438\u043f\u043e\u0432\u0438\u0445 \u0437\u0430\u0434\u0430\u0447) \u041f\u0435\u0440\u0448\u0435 \u0434\u043e\u043c\u0430\u0448\u043d\u0454 \u0437\u0430\u0432\u0434\u0430\u043d\u043d\u044f (\u0442\u0435\u0440\u043c\u0456\u043d \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043d\u044f &#8211; 27 \u043a\u0432\u0456\u0442\u043d\u044f 2026 \u0440. \u0432\u043a\u043b\u044e\u0447\u043d\u043e) \u0414\u0440\u0443\u0433\u0435 \u0434\u043e\u043c\u0430\u0448\u043d\u0454 \u0437\u0430\u0432\u0434\u0430\u043d\u043d\u044f (\u0442\u0435\u0440\u043c\u0456\u043d \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043d\u044f &#8211; 26 \u0442\u0440\u0430\u0432\u043d\u044f 2026 \u0440. \u0432\u043a\u043b\u044e\u0447\u043d\u043e) \u041b\u0456\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430&#8230;<\/p>\n<p class=\"more-link-wrap\"><a href=\"https:\/\/do.csc.knu.ua\/?page_id=444\" class=\"more-link\">Read More<span class=\"screen-reader-text\"> &ldquo;\u0406\u043a\u0441\u0430\u043d\u043e\u0432 \u041e.\u041c. \u0414\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0456 \u0440\u043e\u0437\u0434\u0456\u043b\u0438 \u0430\u043d\u0430\u043b\u0456\u0437\u0443 \u0442\u0430 \u0442\u0435\u043e\u0440\u0456\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439&rdquo;<\/span> &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":267,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/sidebar.php","meta":{"footnotes":""},"class_list":["post-444","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=\/wp\/v2\/pages\/444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=444"}],"version-history":[{"count":10,"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=\/wp\/v2\/pages\/444\/revisions"}],"predecessor-version":[{"id":1968,"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=\/wp\/v2\/pages\/444\/revisions\/1968"}],"up":[{"embeddable":true,"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=\/wp\/v2\/pages\/267"}],"wp:attachment":[{"href":"https:\/\/do.csc.knu.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}