{"id":1347,"date":"2023-07-26T19:00:35","date_gmt":"2023-07-26T19:00:35","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-rayleigh\/"},"modified":"2023-07-26T19:00:35","modified_gmt":"2023-07-26T19:00:35","slug":"distribusi-rayleigh","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-rayleigh\/","title":{"rendered":"Pengenalan distribusi rayleigh"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Distribusi Rayleigh<\/strong> merupakan distribusi probabilitas kontinu yang digunakan untuk memodelkan variabel acak yang hanya dapat mengambil nilai sama dengan atau lebih besar dari nol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini memiliki fungsi kepadatan probabilitas berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">f(x; \u03c3) = (x\/\u03c3 <sup>2<\/sup> )e <sup>-x <sup>2<\/sup> \/(2\u03c3 <sup>2<\/sup> )<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">dimana \u03c3 adalah parameter skala distribusi.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sifat-sifat distribusi Rayleigh<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Distribusi Rayleigh mempunyai sifat sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Rata-rata:<\/strong> \u03c3\u221a <span style=\"border-top: 1px solid black;\">\u03c0\/2<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Deviasi:<\/strong> ((4-\u03c0)\/2)\u03c3 <sup>2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Modus:<\/strong> \u03c3<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Karena \u03c0 mempunyai nilai numerik yang diketahui, kita dapat menyederhanakan sifat-sifatnya sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Rata-rata:<\/strong> 1,253\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Deviasi:<\/strong> 0,429\u03c3 <sup>2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Modus:<\/strong> \u03c3<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Visualisasi distribusi Rayleigh<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Grafik berikut menunjukkan bentuk distribusi Rayleigh karena mengambil nilai yang berbeda untuk parameter skala:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13154 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rayleigh1.png\" alt=\"Distribusi probabilitas Rayleigh\" width=\"419\" height=\"377\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan bahwa semakin besar nilai parameter skala \u03c3, semakin luas distribusinya.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>Bonus:<\/strong> Bagi yang penasaran, kami menggunakan kode R berikut untuk menghasilkan grafik di atas:<\/span><\/em><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load VGAM package\n<\/span><span style=\"color: #008000;\">library<\/span> (VGAM)\n\n<span style=\"color: #008080;\">#create density plots\n<\/span>curve(drayleigh(x, scale = 0.5), from=0, to=10, col='green')\ncurve(drayleigh(x, scale = 1), from=0, to=10, col='red', add=TRUE)\ncurve(drayleigh(x, scale = 2), from=0, to=10, col='blue', add=TRUE)\ncurve(drayleigh(x, scale = 4), from=0, to=10, col='purple', add=TRUE)\n\n<span style=\"color: #008080;\">#add legend\n<\/span>legend(6, 1, legend=c(\"\u03c3=0.5\", \"\u03c3=1\", \"\u03c3=2\", \"\u03c3=4\"),\n       col=c(\"green\", \"red\", \"blue\", \"purple\"), lty=1, cex=1.2)\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Hubungan dengan distribusi lain<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Distribusi Rayleigh memiliki hubungan berikut dengan distribusi probabilitas lainnya:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Jika parameter skala (\u03c3) sama dengan <span style=\"color: #000000;\">1, maka distribusi Rayleigh sama dengan distribusi Chi-kuadrat dengan 2 derajat kebebasan.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Distribusi Rayleigh merupakan kasus khusus dari distribusi Weibull dengan parameter bentuk k = 2.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Distribusi Rayleigh dengan parameter skala \u03c3 sama dengan distribusi Rice dengan Rice(0, \u03c3).<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Aplikasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Dalam prakteknya, distribusi Rayleigh digunakan dalam berbagai aplikasi, antara lain:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Distribusi Rayleigh digunakan untuk memodelkan perilaku gelombang di lautan, termasuk waktu yang dibutuhkan gelombang untuk mencapai puncaknya dan ketinggian maksimum yang dicapai gelombang.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Distribusi Rayleigh digunakan untuk memodelkan perilaku data latar belakang dalam pencitraan resonansi magnetik, yang lebih dikenal dengan MRI.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Distribusi Rayleigh digunakan dalam bidang nutrisi untuk memodelkan hubungan antara tingkat nutrisi dan respon nutrisi pada manusia dan hewan.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut memberikan informasi tambahan tentang distribusi lain dalam statistik:<\/span><\/p>\n<p> Pengenalan distribusi normal<br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-binomial-1\/\" target=\"_blank\" rel=\"noopener\">Pengenalan distribusi binomial<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-ikan\/\" target=\"_blank\" rel=\"noopener\">Pengenalan distribusi Poisson<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi Rayleigh merupakan distribusi probabilitas kontinu yang digunakan untuk memodelkan variabel acak yang hanya dapat mengambil nilai sama dengan atau lebih besar dari nol. Ini memiliki fungsi kepadatan probabilitas berikut: f(x; \u03c3) = (x\/\u03c3 2 )e -x 2 \/(2\u03c3 2 ) dimana \u03c3 adalah parameter skala distribusi. Sifat-sifat distribusi Rayleigh Distribusi Rayleigh mempunyai sifat sebagai [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Pengantar Distribusi Rayleigh - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan pengenalan singkat tentang distribusi Rayleigh, termasuk definisi formal dan beberapa contoh.\" \/>\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\/id\/distribusi-rayleigh\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pengantar Distribusi Rayleigh - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan pengenalan singkat tentang distribusi Rayleigh, termasuk definisi formal dan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-rayleigh\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T19:00:35+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rayleigh1.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-rayleigh\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-rayleigh\/\",\"name\":\"Pengantar Distribusi Rayleigh - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T19:00:35+00:00\",\"dateModified\":\"2023-07-26T19:00:35+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan pengenalan singkat tentang distribusi Rayleigh, termasuk definisi formal dan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-rayleigh\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-rayleigh\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-rayleigh\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Pengenalan distribusi rayleigh\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya\",\"sameAs\":[\"http:\/\/statorials.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Pengantar Distribusi Rayleigh - Statologi","description":"Tutorial ini memberikan pengenalan singkat tentang distribusi Rayleigh, termasuk definisi formal dan beberapa contoh.","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\/id\/distribusi-rayleigh\/","og_locale":"id_ID","og_type":"article","og_title":"Pengantar Distribusi Rayleigh - Statologi","og_description":"Tutorial ini memberikan pengenalan singkat tentang distribusi Rayleigh, termasuk definisi formal dan beberapa contoh.","og_url":"https:\/\/statorials.org\/id\/distribusi-rayleigh\/","og_site_name":"Statorials","article_published_time":"2023-07-26T19:00:35+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rayleigh1.png"}],"author":"Benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Benjamin anderson","Estimasi waktu membaca":"2 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/id\/distribusi-rayleigh\/","url":"https:\/\/statorials.org\/id\/distribusi-rayleigh\/","name":"Pengantar Distribusi Rayleigh - Statologi","isPartOf":{"@id":"https:\/\/statorials.org\/id\/#website"},"datePublished":"2023-07-26T19:00:35+00:00","dateModified":"2023-07-26T19:00:35+00:00","author":{"@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81"},"description":"Tutorial ini memberikan pengenalan singkat tentang distribusi Rayleigh, termasuk definisi formal dan beberapa contoh.","breadcrumb":{"@id":"https:\/\/statorials.org\/id\/distribusi-rayleigh\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/id\/distribusi-rayleigh\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/id\/distribusi-rayleigh\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/statorials.org\/id\/"},{"@type":"ListItem","position":2,"name":"Pengenalan distribusi rayleigh"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/id\/#website","url":"https:\/\/statorials.org\/id\/","name":"Statorials","description":"Panduan anda untuk kompetensi statistik!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/id\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"id"},{"@type":"Person","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81","name":"Benjamin anderson","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/","url":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Benjamin anderson"},"description":"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya","sameAs":["http:\/\/statorials.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/1347"}],"collection":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/comments?post=1347"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/1347\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/media?parent=1347"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/categories?post=1347"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/tags?post=1347"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}