{"id":169257,"date":"2025-10-24T11:46:20","date_gmt":"2025-10-24T08:46:20","guid":{"rendered":"https:\/\/azbuki.bg\/?p=169257"},"modified":"2025-10-24T15:55:46","modified_gmt":"2025-10-24T12:55:46","slug":"nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration","status":"publish","type":"post","link":"https:\/\/press.azbuki.bg\/en\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/","title":{"rendered":"Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration"},"content":{"rendered":"<p><strong>Tsvetomira Zlatkova, Vessela Stoimenova<\/strong><\/p>\n<p><em>Faculty of Mathematics and Informatics, <\/em><br \/>\n<em>Sofia University St. Kliment Ohridski, Sofia (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-5-1-nml\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-5-1-nml<\/a><\/p>\n<p><strong>Abstract.<\/strong> In the present work we consider a special case of estimation in branching stochastic processes with random migration. The aim is to estimate the distributions of the offspring, of the emigration and of the immigration components, as well as the migration events probabilities, using information about the entire family tree. For this purpose, the nonparametric maximum likelihood method is chosen. Additionally, estimators of the probability mass functions are derived and evaluated through simulations and computational analysis.<br \/>\n<em>Keywords:<\/em> branching processes, migration, nonparametric estimators, simulation, maximum likelihood<\/p>\n<a href=\"https:\/\/press.azbuki.bg\/en\/member-login\/\">Log in to read the full text<\/a>\n<p>&nbsp;<\/p>","protected":false},"excerpt":{"rendered":"<p>Tsvetomira Zlatkova, Vessela Stoimenova Faculty of Mathematics and Informatics, Sofia University St. Kliment Ohridski, Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-5-1-nml Abstract. In the present work we consider a special case of estimation in branching stochastic processes with random migration. The aim is to estimate the distributions of the offspring, of the emigration and of the immigration components, as [&hellip;]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[]},"categories":[1],"tags":[14226,14229,14227,14228,8019],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/bel.azbuki.bg\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Tsvetomira Zlatkova, Vessela Stoimenova Faculty of Mathematics and Informatics, Sofia University St. Kliment Ohridski, Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-5-1-nml Abstract. In the present work we consider a special case of estimation in branching stochastic processes with random migration. The aim is to estimate the distributions of the offspring, of the emigration and of the immigration components, as [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/bel.azbuki.bg\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Azbuki55\/\" \/>\n<meta property=\"article:published_time\" content=\"2025-10-24T08:46:20+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-24T12:55:46+00:00\" \/>\n<meta name=\"author\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/azbuki.bg\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration\",\"datePublished\":\"2025-10-24T08:46:20+00:00\",\"dateModified\":\"2025-10-24T12:55:46+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/\"},\"wordCount\":147,\"publisher\":{\"@id\":\"https:\/\/azbuki.bg\/#organization\"},\"keywords\":[\"branching processes\",\"maximum likelihood\",\"migration\",\"nonparametric estimators\",\"simulation\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/\",\"url\":\"https:\/\/bel.azbuki.bg\/uncategorized\/nonparametric-maximum-likelihood-estimation-in-branching-processes-with-random-migration\/\",\"name\":\"Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration - 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