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These studies are available for the following degree students:</p><ul><li>Bachelor's Degree Programme in Mathematics</li><li>Master's Degree Programme in Mathematics</li><li>Bachelor's Degree Programme in Mathematics (Subject Teacher)</li><li>Master's Degree Programme in Mathematics&nbsp;(Subject Teacher)</li><li>Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)</li><li>Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)</li><li>Doctoral Programme in Mathematics and Statistics</li><li>Doctoral Programme in Mathematics and Science (Specialication in Mathematics)</li><br></ul>","fi":"<p>Tämä opintojakso on tarjolla Matematiikan syventävät opinnot -ristiinopiskeluverkostossa. Verkoston opinnot ovat tarjolla seuraaville opiskelijoille:</p><ul><li>Matematiikan kandidaattiohjelma</li><li>Matematiikan maisteriohjelma</li><li>Matematiikan aineenopettajien kandidaattiohjelma</li><li>Matematiikan aineenopettajien maisteriohjelma</li><li>Matematiikan, kemian tai fysiikan aineenopettajan ja luokanopettajan kandidaattiohjelma (matematiikan opintosuunta)</li><li>Matematiikan, kemian tai fysiikan aineenopettajan ja luokanopettajan maisteriiohjelma (matematiikan opintosuunta)</li><li>Matematiikan ja tilastotieteen tohtoriohjelma</li><li>Matemaattisten tieteiden ja luonnontieteiden tohtoriohjelma (matematiikan opintosuunta)</li><br></ul>"},"cooperationNetwork":{"abbreviation":"matematiikansyventavat","name":{"en":"Cross-institutional studies in advanced courses in mathematics and statistics","fi":"Matematiikan ja tilastotieteen syventävien kurssien ristiinopiskelu","sv":"Korsstudier i fördjupade kurser i matematik och statistik"}}}],"gradeScaleId":"sis-0-5","outcomes":{"en":"The student can\r\n- formulate a Bayesian model for certain common problems\r\n- apply numerical methods for learning the parameters of a given model\r\n- evaluate the fit of a model for a given problem\r\n- apply Bayesian analysis in certain decision problems","fi":"Opiskelija osaa\r\n- muotoilla bayesläisen mallin tietyissä yleisissä ongelmissa\r\n- soveltaa numeerisia menetelmiä annetun mallin parametrien arvojen oppimiseksi\r\n- arvioida mallin sopimista ongelmaan\r\n- soveltaa bayesläistä analyysia tietyissä päätösongelmissa"},"tweetText":null,"content":{"en":"- computational methods, in particular Markov Chain Monte Carlo (MCMC)\r\n- one parameter models, multiparameter models, hierarchical models\r\n- Stan software for running MCMC simulations in real problems\r\n- model checking\r\n- model evaluation and comparison\r\n- decision analysis\r\n- asymptotics\r\n\r\nThe exact contents vary by each implementation of the course.","fi":"- laskennaliset menetelmät, erityisesti Markovin ketju -Monte Carlo (MCMC)\r\n- yhden ja useamman parametrin mallit, hierarkkiset mallit\r\n- Stan-ohjelmisto MCMC-ajojen tekemiseen todellisissa ongelmissa\r\n- mallin tarkistus\r\n- mallien arviointi ja vertailu\r\n- päätösanalyysi\r\n- asymptotiikkaa\r\n\r\nTarkka sisältö vaihtelee kurssin toteutuskerroittan."},"additional":{"fi":"Suoritettavissa vuosittain."},"prerequisites":{"en":"- TILM3708 Statistical programming and visualisation\r\n- TILM3709 Bayesian inference\r\n- TILM3618 Introduction to Computational Statistics","fi":"- TILM3708 Tilastollinen ohjelmointi ja visualisointi\r\n- TILM3709 Bayes-päättely\r\n- TILM3618 Johdatus laskennalliseen tilastotieteeseen"},"compulsoryFormalPrerequisites":[],"recommendedFormalPrerequisites":[],"literature":[],"learningMaterial":null,"completionMethods":[]}],"prerequisiteCourseUnit":[],"prerequisiteModule":[]},"prerequisiteCourseUnitPage":{"nodes":[]},"prerequisiteModulePage":{"nodes":[]},"parentModulePage":{"nodes":[]}},"pageContext":{"type":"courseUnit","locale":"en","title":"Bayesian Computation","id":"otm-0f25b014-a428-3f7e-9104-3657db2ebcf6","code":"TILM3619","prerequisiteCourseUnitIds":[],"prerequisiteModuleIds":[],"parentModuleIds":[],"curriculumPeriodStartDate":"2026-08-01","curriculumPeriodEndDate":"2027-08-01","coordinatingOrgIds":[],"searchable":false,"searchTags":null,"organisationIds":["otm-69f8ea31-de0c-3050-ab2a-e571fbab1f95"],"organisations":[],"attainmentLanguages":[],"hasSummerStudies":false,"teachingPeriods":[],"cooperationNetworkDirection":"INBOUND","hasCooperationNetworkSettings":true,"hasAvoinTeaching":false}}}