{"id":1493,"date":"2023-07-26T04:07:40","date_gmt":"2023-07-26T04:07:40","guid":{"rendered":"https:\/\/statorials.org\/pl\/wykresl-rozklad-wykladniczy-w-r\/"},"modified":"2023-07-26T04:07:40","modified_gmt":"2023-07-26T04:07:40","slug":"wykresl-rozklad-wykladniczy-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/wykresl-rozklad-wykladniczy-w-r\/","title":{"rendered":"Jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pl\/rozk\u0142ad-wyk\u0142adniczy-1\/\" target=\"_blank\" rel=\"noopener\">Rozk\u0142ad wyk\u0142adniczy<\/a> to rozk\u0142ad prawdopodobie\u0144stwa u\u017cywany do modelowania czasu, jaki musimy poczeka\u0107, a\u017c nast\u0105pi okre\u015blone zdarzenie.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Je\u015bli <a href=\"https:\/\/statorials.org\/pl\/zmienne-losowe\/\" target=\"_blank\" rel=\"noopener\">zmienna losowa<\/a> <em>X<\/em> ma rozk\u0142ad wyk\u0142adniczy, w\u00f3wczas mo\u017cna zapisa\u0107 <strong>funkcj\u0119 g\u0119sto\u015bci prawdopodobie\u0144stwa<\/strong> <em>X<\/em> :<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>fa<\/em> (x; \u03bb) = \u03bbe <sup>-\u03bbx<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb:<\/strong> parametr szybko\u015bci<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e:<\/strong> Sta\u0142a w przybli\u017ceniu r\u00f3wna 2,718<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Funkcja dystrybucji<\/strong> <em>skumulowanej<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>F<\/em> (x; \u03bb) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak wykre\u015bli\u0107 plik PDF i CDF pod k\u0105tem rozk\u0142adu wyk\u0142adniczego w j\u0119zyku R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Wykre\u015blanie funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak wykre\u015bli\u0107 plik PDF rozk\u0142adu wyk\u0142adniczego z parametrem szybko\u015bci \u03bb = 0,5:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #3366ff;\">curve<\/span> ( <span style=\"color: #3366ff;\">dexp<\/span> (x, rate = .5), from=0, to=10, col=' <span style=\"color: #008000;\">blue<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14826 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exp3.png\" alt=\"Wykres wyk\u0142adniczy PDF w R\" width=\"430\" height=\"386\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak wykre\u015bli\u0107 wiele plik\u00f3w PDF o rozk\u0142adzie wyk\u0142adniczym z r\u00f3\u017cnymi parametrami szybko\u015bci:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #3366ff;\"><span style=\"color: #008080;\">#plot PDF curves<\/span>\ncurve<\/span> ( <span style=\"color: #3366ff;\">dexp<\/span> (x, rate = .5), from=0, to=10, col=' <span style=\"color: #008000;\">blue<\/span> ')\n<span style=\"color: #3366ff;\">curve<\/span> ( <span style=\"color: #3366ff;\">dexp<\/span> (x, rate = 1), from=0, to=10, col=' <span style=\"color: #008000;\">red<\/span> ', add= <span style=\"color: #008000;\">TRUE<\/span> )\n<span style=\"color: #3366ff;\">curve<\/span> ( <span style=\"color: #3366ff;\">dexp<\/span> (x, rate = 1.5), from=0, to=10, col=' <span style=\"color: #008000;\">purple<\/span> ', add= <span style=\"color: #008000;\">TRUE<\/span> )\n\n<span style=\"color: #3366ff;\"><span style=\"color: #008080;\">#add legend<\/span>\nlegend<\/span> (7, .5, legend=c(\" <span style=\"color: #008000;\">rate=.5<\/span> \", \" <span style=\"color: #008000;\">rate=1<\/span> \", \" <span style=\"color: #008000;\">rate=1.5<\/span> \"),\n       col=c(\" <span style=\"color: #008000;\">blue<\/span> \", \" <span style=\"color: #008000;\">red<\/span> \", \" <span style=\"color: #008000;\">purple<\/span> \"), lty=1, cex=1.2)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14827 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exp4.png\" alt=\"Rysowanie wielu wyk\u0142adniczych funkcji PDF w R\" width=\"430\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Wykre\u015blanie funkcji rozk\u0142adu skumulowanego<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak wykre\u015bli\u0107 CDF rozk\u0142adu wyk\u0142adniczego z parametrem szybko\u015bci \u03bb = 0,5:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #3366ff;\">curve<\/span> ( <span style=\"color: #3366ff;\">pexp<\/span> (x, rate = .5), from=0, to=10, col=' <span style=\"color: #008000;\">blue<\/span> ')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14828 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exp5.png\" alt=\"Wyk\u0142adniczy wykres CDF w R\" width=\"435\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak wykre\u015bli\u0107 wiele CDF o rozk\u0142adzie wyk\u0142adniczym z r\u00f3\u017cnymi parametrami szybko\u015bci:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #3366ff;\"><span style=\"color: #008080;\">#plot CDF curves<\/span>\ncurve<\/span> ( <span style=\"color: #3366ff;\">pexp<\/span> (x, rate = .5), from=0, to=10, col=' <span style=\"color: #008000;\">blue<\/span> ')\n<span style=\"color: #3366ff;\">curve<\/span> ( <span style=\"color: #3366ff;\">pexp<\/span> (x, rate = 1), from=0, to=10, col=' <span style=\"color: #008000;\">red<\/span> ', add= <span style=\"color: #008000;\">TRUE<\/span> )\n<span style=\"color: #3366ff;\">curve<\/span> ( <span style=\"color: #3366ff;\">pexp<\/span> (x, rate = 1.5), from=0, to=10, col=' <span style=\"color: #008000;\">purple<\/span> ', add= <span style=\"color: #008000;\">TRUE<\/span> )\n\n<span style=\"color: #3366ff;\"><span style=\"color: #008080;\">#add legend<\/span>\nlegend<\/span> (7, .9, legend=c(\" <span style=\"color: #008000;\">rate=.5<\/span> \", \" <span style=\"color: #008000;\">rate=1<\/span> \", \" <span style=\"color: #008000;\">rate=1.5<\/span> \"),\n       col=c(\" <span style=\"color: #008000;\">blue<\/span> \", \" <span style=\"color: #008000;\">red<\/span> \", \" <span style=\"color: #008000;\">purple<\/span> \"), lty=1, cex=1.2)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14829 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exp6.png\" alt=\"Wiele rozk\u0142ad\u00f3w wyk\u0142adniczych na jednym wykresie w R\" width=\"430\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/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 wykre\u015bli\u0107 inne rozk\u0142ady prawdopodobie\u0144stwa w R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/wykres-rozmieszczenia-ryb-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad Poissona w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-dwumianowy-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad dwumianowy w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/dzia\u0142ka-t-rozk\u0142ad-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-normalny-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad normalny w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-chi-kwadrat-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rozk\u0142ad wyk\u0142adniczy to rozk\u0142ad prawdopodobie\u0144stwa u\u017cywany do modelowania czasu, jaki musimy poczeka\u0107, a\u017c nast\u0105pi okre\u015blone zdarzenie. Je\u015bli zmienna losowa X ma rozk\u0142ad wyk\u0142adniczy, w\u00f3wczas mo\u017cna zapisa\u0107 funkcj\u0119 g\u0119sto\u015bci prawdopodobie\u0144stwa X : fa (x; \u03bb) = \u03bbe -\u03bbx Z\u0142oto: \u03bb: parametr szybko\u015bci e: Sta\u0142a w przybli\u017ceniu r\u00f3wna 2,718 Funkcja dystrybucji skumulowanej F (x; \u03bb) = 1 [&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-1493","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 wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w R - Statorials<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w j\u0119zyku R, 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\/wykresl-rozklad-wykladniczy-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w R - Statorials\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/wykresl-rozklad-wykladniczy-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T04:07:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exp3.png\" \/>\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\/wykresl-rozklad-wykladniczy-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-wykladniczy-w-r\/\",\"name\":\"Jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-26T04:07:40+00:00\",\"dateModified\":\"2023-07-26T04:07:40+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-wykladniczy-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/wykresl-rozklad-wykladniczy-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-wykladniczy-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w r\"}]},{\"@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. 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