{"id":573,"date":"2014-11-05T04:22:23","date_gmt":"2014-11-05T04:22:23","guid":{"rendered":"http:\/\/rovdownloads.com\/blog\/?p=573"},"modified":"2014-11-21T17:17:50","modified_gmt":"2014-11-21T17:17:50","slug":"markov-chains","status":"publish","type":"post","link":"https:\/\/rovdownloads.com\/blog\/markov-chains\/","title":{"rendered":"Markov Chains"},"content":{"rendered":"<p><strong>Theory<\/strong><br \/>\nA Markov chain exists when the probability of a future state depends on a previous state and when linked together forms a chain that reverts to a long-run steady state level. This Markov approach is typically used to forecast the market share of two competitors. The required inputs are the starting probability of a customer in the first store (the first state) returning to the same store in the next period versus the probability of switching to a competitor\u2019s store in the next state.<\/p>\n<p><strong>Procedure<\/strong><\/p>\n<li>Start Excel and select Risk Simulator | Forecasting | Markov Chain.<\/li>\n<li>Enter the required input assumptions (see Figure 1 for an example) and click OK to run the model and report.<\/li>\n<p><strong>Note<\/strong><br \/>\nSet both probabilities to 10% and rerun the Markov chain, and you will see the effects of<br \/>\nswitching behaviors very clearly in the resulting chart as shown at the bottom of Figure 1.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/rovdownloads.com\/blog\/wp-content\/uploads\/2014\/07\/Untitled-15.png\" alt=\"Untitled-1\" width=\"2133\" height=\"2071\" class=\"aligncenter size-full wp-image-574\" srcset=\"https:\/\/rovdownloads.com\/blog\/wp-content\/uploads\/2014\/07\/Untitled-15.png 2133w, https:\/\/rovdownloads.com\/blog\/wp-content\/uploads\/2014\/07\/Untitled-15-300x291.png 300w, https:\/\/rovdownloads.com\/blog\/wp-content\/uploads\/2014\/07\/Untitled-15-1024x994.png 1024w, https:\/\/rovdownloads.com\/blog\/wp-content\/uploads\/2014\/07\/Untitled-15-210x203.png 210w\" sizes=\"auto, (max-width: 2133px) 100vw, 2133px\" \/><\/p>\n<div style=\"padding-bottom:20px; padding-top:10px;\" class=\"hupso-share-buttons\"><!-- Hupso Share Buttons - http:\/\/www.hupso.com\/share\/ --><a class=\"hupso_toolbar\" href=\"http:\/\/www.hupso.com\/share\/\"><img decoding=\"async\" src=\"https:\/\/static.hupso.com\/share\/buttons\/share-medium.png\" style=\"border:0px; padding-top:5px; float:left;\" alt=\"Share Button\"\/><\/a><script type=\"text\/javascript\">var hupso_services_t=new Array(\"Twitter\",\"Facebook\",\"Google Plus\",\"Linkedin\");var hupso_background_t=\"#EAF4FF\";var hupso_border_t=\"#66CCFF\";var hupso_toolbar_size_t=\"medium\";var hupso_image_folder_url = \"http:\/\/rovdownloads.com\/blog\/wp-content\/plugins\/hupso-share-buttons-for-twitter-facebook-google\/img\/services\/\";var hupso_url_t=\"\";var hupso_title_t=\"Markov Chains\";<\/script><script type=\"text\/javascript\" src=\"https:\/\/static.hupso.com\/share\/js\/share_toolbar.js\"><\/script><!-- Hupso Share Buttons --><\/div>","protected":false},"excerpt":{"rendered":"<p>Theory A Markov chain exists when the probability of a future state depends on a previous state and when linked together forms a chain that reverts to a long-run steady &hellip; <a class=\"readmore\" href=\"https:\/\/rovdownloads.com\/blog\/markov-chains\/\">Continue Reading &amp;rarr;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[5],"tags":[44,135],"class_list":["post-573","post","type-post","status-publish","format-standard","hentry","category-blog","tag-markov-chains","tag-risk-simulator"],"acf":[],"_links":{"self":[{"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/posts\/573","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/comments?post=573"}],"version-history":[{"count":1,"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/posts\/573\/revisions"}],"predecessor-version":[{"id":575,"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/posts\/573\/revisions\/575"}],"wp:attachment":[{"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/media?parent=573"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/categories?post=573"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rovdownloads.com\/blog\/wp-json\/wp\/v2\/tags?post=573"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}