{"id":168582,"date":"2023-02-28T09:57:00","date_gmt":"2023-02-28T08:57:00","guid":{"rendered":"https:\/\/datascientest.com\/de\/?p=168582"},"modified":"2023-10-29T20:51:10","modified_gmt":"2023-10-29T19:51:10","slug":"markov-modelle","status":"publish","type":"post","link":"https:\/\/datascientest.com\/de\/markov-modelle","title":{"rendered":"Markov-Modelle"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"168582\" class=\"elementor elementor-168582\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-41263343 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"41263343\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5cd11f09\" data-id=\"5cd11f09\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2bbcb52d elementor-widget elementor-widget-heading\" data-id=\"2bbcb52d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.15.0 - 02-08-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">Markov Modelle verstehen: Man sagt, dass ein Modell die Markov-Eigenschaft besitzt, wenn sein Zustand zu einem Zeitpunkt T nur von seinem Zustand zum Zeitpunkt T-1 abh\u00e4ngt.\nWenn man die Zust\u00e4nde, in denen sich das Modell zu jedem Zeitpunkt befindet, beobachten kann, spricht man von einem beobachtbaren Markov-Modell. Andernfalls spricht man von einem Hidden-Markov-Modell.<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-627f939e elementor-widget elementor-widget-heading\" data-id=\"627f939e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\">In diesem Artikel werden wir diese Modelle veranschaulichen, um zu verstehen, wie sie funktionieren und wie n\u00fctzlich sie sind.<\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-62feb4da elementor-widget elementor-widget-heading\" data-id=\"62feb4da\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Beobachtbares Markov-Modell\n<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5ecff1e1 elementor-widget elementor-widget-text-editor\" data-id=\"5ecff1e1\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.15.0 - 02-08-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>Betrachte die folgende Situation:<br \/>Du bist an einem regnerischen Tag zu Hause eingesperrt und m\u00f6chtest das Wetter f\u00fcr die n\u00e4chsten f\u00fcnf Tage bestimmen.<\/p><p><em>Da Du kein Meteorologe bist, machst Du es Dir einfach, indem du annimmst, dass das Wetter einem <a href=\"https:\/\/www.iqwig.de\/sonstiges\/glossar\/markov-modell.html\"><strong>Markov-Modell<\/strong> <\/a>folgt: Das Wetter am Tag T h\u00e4ngt nur vom Wetter am Tag T-1 ab.<\/em><\/p><p>Um die Sache noch weiter zu vereinfachen, nimmst du an, dass es nur drei m\u00f6gliche Wettervarianten gibt:<\/p><ol><li>Sonne<\/li><li>Wolken<\/li><li>oder Regen.<\/li><\/ol><p>Basierend auf den Beobachtungen der letzten Monate erstellst Du das folgende <strong>\u00dcbergangsdiagramm:<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6178ecd7 elementor-widget elementor-widget-image\" data-id=\"6178ecd7\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.15.0 - 02-08-2023 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"512\" height=\"472\" src=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image1_markdown.png\" class=\"attachment-large size-large wp-image-168585\" alt=\"\" srcset=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image1_markdown.png 512w, https:\/\/datascientest.com\/de\/files\/2023\/02\/image1_markdown-300x277.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-54c389f4 elementor-widget elementor-widget-text-editor\" data-id=\"54c389f4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Die zugeh\u00f6rige \u00dcbergangsmatrix lautet:<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7c52234b elementor-widget elementor-widget-image\" data-id=\"7c52234b\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"512\" height=\"225\" src=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image2_markdown.png\" class=\"attachment-large size-large wp-image-168586\" alt=\"\" srcset=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image2_markdown.png 512w, https:\/\/datascientest.com\/de\/files\/2023\/02\/image2_markdown-300x132.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f580d28 elementor-widget elementor-widget-text-editor\" data-id=\"4f580d28\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Zur Erl\u00e4uterung: Diese Matrix liest sich wie folgt:<\/p><ul><li>Die Wahrscheinlichkeit, dass es morgen sonnig wird, wenn man wei\u00df, dass es heute regnet, betr\u00e4gt 35 %.<\/li><li>Die Wahrscheinlichkeit, dass es morgen bew\u00f6lkt ist, betr\u00e4gt 25 %, wenn man bedenkt, dass es heute schon bew\u00f6lkt ist.<\/li><\/ul><p>Berechnen wir die <strong>Wahrscheinlichkeit<\/strong>, dass das Wetter in den n\u00e4chsten f\u00fcnf Tagen &#8222;Sonne, Sonne, Regen, Wolken, Sonne&#8220; sein wird.<\/p><p>Da das Wetter an einem Tag nur vom Wetter am Vortag abh\u00e4ngt, multipliziere einfach die Wahrscheinlichkeiten (zur Erinnerung: heute regnet es):<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-22804265 elementor-widget elementor-widget-image\" data-id=\"22804265\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"512\" height=\"60\" src=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image3_markdown.png\" class=\"attachment-large size-large wp-image-168587\" alt=\"\" srcset=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image3_markdown.png 512w, https:\/\/datascientest.com\/de\/files\/2023\/02\/image3_markdown-300x35.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3d641989 elementor-widget elementor-widget-text-editor\" data-id=\"3d641989\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Man kann diese Wahrscheinlichkeit f\u00fcr alle m\u00f6glichen Kombinationen berechnen und die Kombination mit der h\u00f6chsten <strong>Wahrscheinlichkeit ausw\u00e4hlen, um die Fragestellung zu beantworten.<\/strong><br \/><br \/><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9b79c52 elementor-widget elementor-widget-shortcode\" data-id=\"9b79c52\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-shortcode\"><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-39678f3d elementor-widget elementor-widget-text-editor\" data-id=\"39678f3d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: 400\">In unserem Fall sind dies die f\u00fcnf Kombinationen, die am wahrscheinlichsten eintreten (Nuage = Wolken, Soleil= Sonne, Pluie = Regen, Prob. = Warsch.)<br \/><\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6c8de21b elementor-widget elementor-widget-image\" data-id=\"6c8de21b\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"439\" height=\"184\" src=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image4_markdown.png\" class=\"attachment-large size-large wp-image-168588\" alt=\"\" srcset=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image4_markdown.png 439w, https:\/\/datascientest.com\/de\/files\/2023\/02\/image4_markdown-300x126.png 300w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6bef3f1b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6bef3f1b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5315c3aa\" data-id=\"5315c3aa\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ccd34bc elementor-widget elementor-widget-heading\" data-id=\"1ccd34bc\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Hidden-Markov-Modell\n<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3e18a55f elementor-widget elementor-widget-text-editor\" data-id=\"3e18a55f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Wir behalten die gleichen Annahmen wie im vorherigen Teil bei.<\/p><p>Nehmen wir nun an, dass ein Wetterpsychopath dich in einen fensterlosen Raum gesperrt hat, in dem nur ein Computer und eine Lampe stehen. <strong>Jeden Tag leuchtet die Lampe in einer bestimmten Farbe, je nachdem, wie das Wetter ist. Dein Entf\u00fchrer stellt dir die folgende Beobachtungsmatrix zur Verf\u00fcgung:<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7a301601 elementor-widget elementor-widget-image\" data-id=\"7a301601\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"512\" height=\"252\" src=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image5_markdown.png\" class=\"attachment-large size-large wp-image-168589\" alt=\"\" srcset=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image5_markdown.png 512w, https:\/\/datascientest.com\/de\/files\/2023\/02\/image5_markdown-300x148.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-618c0d95 elementor-widget elementor-widget-text-editor\" data-id=\"618c0d95\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Wenn es z. B. regnet, ist die Lampe mit 70 % Wahrscheinlichkeit gr\u00fcn und mit 30 % <strong>Wahrscheinlichkeit<\/strong> blau.<\/p><p>Du kannst nach Hause gehen, wenn du das Wetter f\u00fcr die n\u00e4chsten f\u00fcnf Tage nur anhand der Farbe der Lampe bestimmst. Du baust dann ein <strong>Hidden-Markov-Modell.<\/strong><\/p><p>Du bleibst f\u00fcnf Tage lang eingesperrt und stellst die folgenden Farben fest:<\/p><p><em>blau, blau, rot, gr\u00fcn, rot.<\/em><\/p><p>Du erinnerst dich daran, dass es am Tag vor deinem Einschluss geregnet hat.<\/p><p><strong>Du kannst nun einen Python-Code schreiben,<\/strong> der die Kombination zur\u00fcckgibt, die mit der h\u00f6chsten Wahrscheinlichkeit eintritt:<\/p><p>\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1b5199d6 elementor-widget elementor-widget-shortcode\" data-id=\"1b5199d6\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-shortcode\"><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-60da750f elementor-widget elementor-widget-image\" data-id=\"60da750f\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"422\" height=\"183\" src=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image6_markdown.png\" class=\"attachment-large size-large wp-image-168590\" alt=\"\" srcset=\"https:\/\/datascientest.com\/de\/files\/2023\/02\/image6_markdown.png 422w, https:\/\/datascientest.com\/de\/files\/2023\/02\/image6_markdown-300x130.png 300w\" sizes=\"(max-width: 422px) 100vw, 422px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4760ef7c elementor-widget elementor-widget-text-editor\" data-id=\"4760ef7c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>NB: Man h\u00e4tte auch den Viterbi-<strong><a href=\"https:\/\/datascientest.com\/de\/t-sne-algorithmus\">Algorithmus<\/a> implementieren<\/strong> k\u00f6nnen, der die wahrscheinlichste Kombination zur\u00fcckgibt, also [&#8218;Wolken&#8216;, &#8218;Wolken&#8216;, &#8218;Sonne&#8216;, &#8218;Regen&#8216;, &#8218;Sonne&#8216;].<\/p><p>Dieser Ansatz zur Vorhersage ist interessant, aber sehr grob. Wenn du lernen m\u00f6chtest, beeindruckendere Vorhersagen zu treffen, z. B. mithilfe von <strong>Machine-Learning-Algorithmen<\/strong>, dann kontaktiere uns direkt online, um weitere Informationen \u00fcber unsere <strong>Kurse in Data Science zu erhalten!<\/strong> <\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Markov Modelle verstehen: Man sagt, dass ein Modell die Markov-Eigenschaft besitzt, wenn sein Zustand zu einem Zeitpunkt T nur von seinem Zustand zum Zeitpunkt T-1 abh\u00e4ngt. Wenn man die Zust\u00e4nde, in denen sich das Modell zu jedem Zeitpunkt befindet, beobachten kann, spricht man von einem beobachtbaren Markov-Modell. Andernfalls spricht man von einem Hidden-Markov-Modell. In diesem [&hellip;]<\/p>\n","protected":false},"author":45,"featured_media":169202,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_theme","format":"standard","meta":{"content-type":"","inline_featured_image":false},"categories":[2454],"tags":[2432],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.7 (Yoast SEO v21.7) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Markov-Modelle<\/title>\n<meta name=\"description\" content=\"Markov-Modelle online erlernen mit DataScientest Kursen\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/datascientest.com\/de\/markov-modelle\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Markov-Modelle\" \/>\n<meta property=\"og:description\" content=\"Markov Modelle verstehen: Man sagt, dass ein Modell die Markov-Eigenschaft besitzt, wenn sein Zustand zu einem Zeitpunkt T nur von seinem Zustand zum\" \/>\n<meta property=\"og:url\" content=\"https:\/\/datascientest.com\/de\/markov-modelle\" \/>\n<meta property=\"og:site_name\" content=\"Weiterbildung Data Science | DataScientest.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/DataScientestEN\" \/>\n<meta property=\"article:published_time\" content=\"2023-02-28T08:57:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-29T19:51:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/datascientest.com\/de\/wp-content\/blogs.dir\/8\/files\/2023\/02\/markov-1.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"1536\" \/>\n\t<meta property=\"og:image:height\" content=\"843\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Daniel\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@DataScientest__\" \/>\n<meta name=\"twitter:site\" content=\"@DataScientest__\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"Daniel\" \/>\n\t<meta name=\"twitter:label2\" content=\"Gesch\u00e4tzte Lesezeit\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 Minuten\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/datascientest.com\/de\/markov-modelle#article\",\"isPartOf\":{\"@id\":\"https:\/\/datascientest.com\/de\/markov-modelle\"},\"author\":{\"name\":\"Daniel\",\"@id\":\"https:\/\/datascientest.com\/de\/#\/schema\/person\/5a86e30c5090234fb43dd8baa83c44b0\"},\"headline\":\"Markov-Modelle\",\"datePublished\":\"2023-02-28T08:57:00+00:00\",\"dateModified\":\"2023-10-29T19:51:10+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/datascientest.com\/de\/markov-modelle\"},\"wordCount\":529,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/datascientest.com\/de\/#organization\"},\"keywords\":[\"markov\"],\"articleSection\":[\"Data Science\"],\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/datascientest.com\/de\/markov-modelle#respond\"]}],\"copyrightYear\":\"2023\",\"copyrightHolder\":{\"@id\":\"https:\/\/datascientest.com\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/datascientest.com\/de\/markov-modelle\",\"url\":\"https:\/\/datascientest.com\/de\/markov-modelle\",\"name\":\"Markov-Modelle\",\"isPartOf\":{\"@id\":\"https:\/\/datascientest.com\/de\/#website\"},\"datePublished\":\"2023-02-28T08:57:00+00:00\",\"dateModified\":\"2023-10-29T19:51:10+00:00\",\"description\":\"Markov-Modelle online erlernen mit DataScientest Kursen\",\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/datascientest.com\/de\/markov-modelle\"]}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/datascientest.com\/de\/#website\",\"url\":\"https:\/\/datascientest.com\/de\/\",\"name\":\"Weiterbildung Data Science | DataScientest.com\",\"description\":\"F\u00fchrender Anbieter von Schulungen im Bereich Data Science\",\"publisher\":{\"@id\":\"https:\/\/datascientest.com\/de\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/datascientest.com\/de\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/datascientest.com\/de\/#organization\",\"name\":\"DataScientest\",\"url\":\"https:\/\/datascientest.com\/de\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/datascientest.com\/de\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/datascientest.com\/de\/wp-content\/blogs.dir\/8\/files\/2024\/02\/DataScientest_icon_blue-2.png\",\"contentUrl\":\"https:\/\/datascientest.com\/de\/wp-content\/blogs.dir\/8\/files\/2024\/02\/DataScientest_icon_blue-2.png\",\"width\":301,\"height\":301,\"caption\":\"DataScientest\"},\"image\":{\"@id\":\"https:\/\/datascientest.com\/de\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/DataScientestEN\",\"https:\/\/twitter.com\/DataScientest__\",\"https:\/\/www.linkedin.com\/company\/datascientest-germany\/\",\"https:\/\/www.tiktok.com\/@datascientest\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/datascientest.com\/de\/#\/schema\/person\/5a86e30c5090234fb43dd8baa83c44b0\",\"name\":\"Daniel\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/datascientest.com\/de\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/837acad4f2dc47e85d81cce837261670?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/837acad4f2dc47e85d81cce837261670?s=96&d=mm&r=g\",\"caption\":\"Daniel\"},\"sameAs\":[\"https:\/\/www.linkedin.com\/school\/datascientest\/\",\"user\"],\"jobTitle\":\"ing\u00e9nieur logiciel\",\"worksFor\":\"DataScientest\",\"url\":\"https:\/\/datascientest.com\/de\/author\/team-redac\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Markov-Modelle","description":"Markov-Modelle online erlernen mit DataScientest Kursen","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/datascientest.com\/de\/markov-modelle","og_locale":"de_DE","og_type":"article","og_title":"Markov-Modelle","og_description":"Markov Modelle verstehen: Man sagt, dass ein Modell die Markov-Eigenschaft besitzt, wenn sein Zustand zu einem Zeitpunkt T nur von seinem Zustand zum","og_url":"https:\/\/datascientest.com\/de\/markov-modelle","og_site_name":"Weiterbildung Data Science | DataScientest.com","article_publisher":"https:\/\/www.facebook.com\/DataScientestEN","article_published_time":"2023-02-28T08:57:00+00:00","article_modified_time":"2023-10-29T19:51:10+00:00","og_image":[{"width":1536,"height":843,"url":"https:\/\/datascientest.com\/de\/wp-content\/blogs.dir\/8\/files\/2023\/02\/markov-1.webp","type":"image\/webp"}],"author":"Daniel","twitter_card":"summary_large_image","twitter_creator":"@DataScientest__","twitter_site":"@DataScientest__","twitter_misc":{"Verfasst von":"Daniel","Gesch\u00e4tzte Lesezeit":"5 Minuten"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/datascientest.com\/de\/markov-modelle#article","isPartOf":{"@id":"https:\/\/datascientest.com\/de\/markov-modelle"},"author":{"name":"Daniel","@id":"https:\/\/datascientest.com\/de\/#\/schema\/person\/5a86e30c5090234fb43dd8baa83c44b0"},"headline":"Markov-Modelle","datePublished":"2023-02-28T08:57:00+00:00","dateModified":"2023-10-29T19:51:10+00:00","mainEntityOfPage":{"@id":"https:\/\/datascientest.com\/de\/markov-modelle"},"wordCount":529,"commentCount":0,"publisher":{"@id":"https:\/\/datascientest.com\/de\/#organization"},"keywords":["markov"],"articleSection":["Data Science"],"inLanguage":"de","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/datascientest.com\/de\/markov-modelle#respond"]}],"copyrightYear":"2023","copyrightHolder":{"@id":"https:\/\/datascientest.com\/#organization"}},{"@type":"WebPage","@id":"https:\/\/datascientest.com\/de\/markov-modelle","url":"https:\/\/datascientest.com\/de\/markov-modelle","name":"Markov-Modelle","isPartOf":{"@id":"https:\/\/datascientest.com\/de\/#website"},"datePublished":"2023-02-28T08:57:00+00:00","dateModified":"2023-10-29T19:51:10+00:00","description":"Markov-Modelle online erlernen mit DataScientest Kursen","inLanguage":"de","potentialAction":[{"@type":"ReadAction","target":["https:\/\/datascientest.com\/de\/markov-modelle"]}]},{"@type":"WebSite","@id":"https:\/\/datascientest.com\/de\/#website","url":"https:\/\/datascientest.com\/de\/","name":"Weiterbildung Data Science | DataScientest.com","description":"F\u00fchrender Anbieter von Schulungen im Bereich Data Science","publisher":{"@id":"https:\/\/datascientest.com\/de\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/datascientest.com\/de\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"de"},{"@type":"Organization","@id":"https:\/\/datascientest.com\/de\/#organization","name":"DataScientest","url":"https:\/\/datascientest.com\/de\/","logo":{"@type":"ImageObject","inLanguage":"de","@id":"https:\/\/datascientest.com\/de\/#\/schema\/logo\/image\/","url":"https:\/\/datascientest.com\/de\/wp-content\/blogs.dir\/8\/files\/2024\/02\/DataScientest_icon_blue-2.png","contentUrl":"https:\/\/datascientest.com\/de\/wp-content\/blogs.dir\/8\/files\/2024\/02\/DataScientest_icon_blue-2.png","width":301,"height":301,"caption":"DataScientest"},"image":{"@id":"https:\/\/datascientest.com\/de\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/DataScientestEN","https:\/\/twitter.com\/DataScientest__","https:\/\/www.linkedin.com\/company\/datascientest-germany\/","https:\/\/www.tiktok.com\/@datascientest"]},{"@type":"Person","@id":"https:\/\/datascientest.com\/de\/#\/schema\/person\/5a86e30c5090234fb43dd8baa83c44b0","name":"Daniel","image":{"@type":"ImageObject","inLanguage":"de","@id":"https:\/\/datascientest.com\/de\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/837acad4f2dc47e85d81cce837261670?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/837acad4f2dc47e85d81cce837261670?s=96&d=mm&r=g","caption":"Daniel"},"sameAs":["https:\/\/www.linkedin.com\/school\/datascientest\/","user"],"jobTitle":"ing\u00e9nieur logiciel","worksFor":"DataScientest","url":"https:\/\/datascientest.com\/de\/author\/team-redac"}]}},"_links":{"self":[{"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/posts\/168582"}],"collection":[{"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/users\/45"}],"replies":[{"embeddable":true,"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/comments?post=168582"}],"version-history":[{"count":0,"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/posts\/168582\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/media\/169202"}],"wp:attachment":[{"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/media?parent=168582"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/categories?post=168582"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/datascientest.com\/de\/wp-json\/wp\/v2\/tags?post=168582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}