{"id":3146,"date":"2023-07-18T23:54:12","date_gmt":"2023-07-18T23:54:12","guid":{"rendered":"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/"},"modified":"2023-07-18T23:54:12","modified_gmt":"2023-07-18T23:54:12","slug":"normalna-dystrybucja-pythona-z-logami","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/","title":{"rendered":"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w pythonie"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">Mo\u017cesz u\u017cy\u0107 funkcji <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.lognorm.html\" target=\"_blank\" rel=\"noopener\">lognorm()<\/a> biblioteki <strong>SciPy<\/strong> w Pythonie, aby wygenerowa\u0107 zmienn\u0105 losow\u0105 o rozk\u0142adzie logarytmiczno-normalnym.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017csze przyk\u0142ady pokazuj\u0105, jak w praktyce wykorzysta\u0107 t\u0119 funkcj\u0119.<\/span><\/p>\n<h3> <strong>Jak wygenerowa\u0107 rozk\u0142ad lognormalny<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Mo\u017cesz u\u017cy\u0107 poni\u017cszego kodu, aby wygenerowa\u0107 zmienn\u0105 losow\u0105 o rozk\u0142adzie logarytmiczno-normalnym z \u03bc = 1 i \u03c3 = 1:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #008000;\"><span style=\"color: #3366ff;\">stats<\/span> import<\/span> lognorm\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">1<\/span> )\n\n<span style=\"color: #008080;\">#generate log-normal distributed random variable with 1000 values\n<\/span>lognorm_values = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s= <span style=\"color: #008000;\">1<\/span> , scale=math. <span style=\"color: #3366ff;\">exp<\/span> ( <span style=\"color: #008000;\">1<\/span> ), size= <span style=\"color: #008000;\">1000<\/span> )\n\n<span style=\"color: #008080;\">#view first five values\n<\/span>lognorm_values[:5]\n\narray([13.79554017, 1.47438888, 1.60292205, 0.92963, 6.45856805])\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Nale\u017cy zauwa\u017cy\u0107, \u017ce w funkcji <strong>lognorm.rvs()<\/strong> <strong>s<\/strong> jest odchyleniem standardowym, a warto\u015b\u0107 w <strong>funkcji math.exp()<\/strong> jest \u015bredni\u0105 rozk\u0142adu lognormalnego, kt\u00f3ry chcesz wygenerowa\u0107.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym przyk\u0142adzie ustalili\u015bmy, \u017ce \u015brednia wynosi <strong>1<\/strong> , a odchylenie standardowe r\u00f3wnie\u017c wynosi <strong>1<\/strong> .<\/span><\/p>\n<h3> <strong>Jak wykre\u015bli\u0107 rozk\u0142ad lognormalny<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 poni\u017cszego kodu, aby utworzy\u0107 histogram warto\u015bci zmiennej losowej o rozk\u0142adzie logarytmiczno-normalnym, kt\u00f3r\u0105 utworzyli\u015bmy w poprzednim przyk\u0142adzie:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create histogram<\/span>\nplt. <span style=\"color: #3366ff;\">hist<\/span> (lognorm_values, density= <span style=\"color: #008000;\">True<\/span> , edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26765 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lognormepython1.jpg\" alt=\"\" width=\"575\" height=\"383\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Matplotlib domy\u015blnie ustawia w histogramach 10 pojemnik\u00f3w, ale mo\u017cemy \u0142atwo zwi\u0119kszy\u0107 t\u0119 liczb\u0119 za pomoc\u0105 argumentu <strong>bins<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Przyk\u0142adowo mo\u017cemy zwi\u0119kszy\u0107 liczb\u0119 pojemnik\u00f3w do 20:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create histogram<\/span>\nplt. <span style=\"color: #3366ff;\">hist<\/span> (lognorm_values, density= <span style=\"color: #008000;\">True<\/span> , edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ', bins= <span style=\"color: #008000;\">20<\/span> )<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-26766\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lognormepython2.jpg\" alt=\"dystrybucja lognormalna w Pythonie\" width=\"579\" height=\"378\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Im wi\u0119ksza liczba prostok\u0105t\u00f3w, tym w\u0119\u017csze b\u0119d\u0105 s\u0142upki na histogramie.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Powi\u0105zane:<\/strong> <a href=\"https:\/\/statorials.org\/pl\/rozmiar-bin-matplotlib\/\" target=\"_blank\" rel=\"noopener\">Trzy sposoby dostosowywania rozmiaru pojemnika w histogramach Matplotlib<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak u\u017cywa\u0107 innych rozk\u0142ad\u00f3w prawdopodobie\u0144stwa w Pythonie:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/pyton-dystrybucji-ryb\/\" target=\"_blank\" rel=\"noopener\">Jak korzysta\u0107 z rozk\u0142adu Poissona w Pythonie<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/python-z-rozk\u0142adem-wyk\u0142adniczym\/\" target=\"_blank\" rel=\"noopener\">Jak korzysta\u0107 z rozk\u0142adu wyk\u0142adniczego w Pythonie<\/a><br \/><a href=\"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-pythona\/\" target=\"_blank\" rel=\"noopener\">Jak korzysta\u0107 z jednolitej dystrybucji w Pythonie<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mo\u017cesz u\u017cy\u0107 funkcji lognorm() biblioteki SciPy w Pythonie, aby wygenerowa\u0107 zmienn\u0105 losow\u0105 o rozk\u0142adzie logarytmiczno-normalnym. Poni\u017csze przyk\u0142ady pokazuj\u0105, jak w praktyce wykorzysta\u0107 t\u0119 funkcj\u0119. Jak wygenerowa\u0107 rozk\u0142ad lognormalny Mo\u017cesz u\u017cy\u0107 poni\u017cszego kodu, aby wygenerowa\u0107 zmienn\u0105 losow\u0105 o rozk\u0142adzie logarytmiczno-normalnym z \u03bc = 1 i \u03c3 = 1: import math import numpy as np from scipy. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3146","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w Pythonie - Statorials<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu lognormalnego w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w Pythonie - Statorials\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu lognormalnego w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-18T23:54:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lognormepython1.jpg\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/\",\"url\":\"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/\",\"name\":\"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w Pythonie - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-18T23:54:12+00:00\",\"dateModified\":\"2023-07-18T23:54:12+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu lognormalnego w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w pythonie\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. Dzi\u0119ki bogatemu do\u015bwiadczeniu i wiedzy specjalistycznej w dziedzinie statystyki ch\u0119tnie dziel\u0119 si\u0119 swoj\u0105 wiedz\u0105, aby wzmocni\u0107 pozycj\u0119 uczni\u00f3w za po\u015brednictwem Statorials. Wiedzie\u0107 wi\u0119cej\",\"sameAs\":[\"https:\/\/statorials.org\/pl\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w Pythonie - Statorials","description":"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu lognormalnego w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.","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:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/","og_locale":"pl_PL","og_type":"article","og_title":"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w Pythonie - Statorials","og_description":"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu lognormalnego w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.","og_url":"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/","og_site_name":"Statorials","article_published_time":"2023-07-18T23:54:12+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lognormepython1.jpg"}],"author":"Benjamin Anderson","twitter_card":"summary_large_image","twitter_misc":{"Napisane przez":"Benjamin Anderson","Szacowany czas czytania":"2 minuty"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/","url":"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/","name":"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w Pythonie - Statorials","isPartOf":{"@id":"https:\/\/statorials.org\/pl\/#website"},"datePublished":"2023-07-18T23:54:12+00:00","dateModified":"2023-07-18T23:54:12+00:00","author":{"@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965"},"description":"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu lognormalnego w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.","breadcrumb":{"@id":"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pl\/normalna-dystrybucja-pythona-z-logami\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Dom","item":"https:\/\/statorials.org\/pl\/"},{"@type":"ListItem","position":2,"name":"Jak korzysta\u0107 z rozk\u0142adu logarytmiczno-normalnego w pythonie"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/pl\/#website","url":"https:\/\/statorials.org\/pl\/","name":"Statorials","description":"Tw\u00f3j przewodnik po kompetencjach statystycznych!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/pl\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pl-PL"},{"@type":"Person","@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965","name":"Benjamin Anderson","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","caption":"Benjamin Anderson"},"description":"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. Dzi\u0119ki bogatemu do\u015bwiadczeniu i wiedzy specjalistycznej w dziedzinie statystyki ch\u0119tnie dziel\u0119 si\u0119 swoj\u0105 wiedz\u0105, aby wzmocni\u0107 pozycj\u0119 uczni\u00f3w za po\u015brednictwem Statorials. Wiedzie\u0107 wi\u0119cej","sameAs":["https:\/\/statorials.org\/pl"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts\/3146","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/comments?post=3146"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts\/3146\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/media?parent=3146"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/categories?post=3146"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/tags?post=3146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}