{"id":1115,"date":"2023-07-27T15:08:14","date_gmt":"2023-07-27T15:08:14","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/"},"modified":"2023-07-27T15:08:14","modified_gmt":"2023-07-27T15:08:14","slug":"rde-otokorelasyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/","title":{"rendered":"R&#39;de otokorelasyon nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Otokorelasyon,<\/strong> bir zaman serisi ile kendisinin gecikmeli versiyonu aras\u0131ndaki ard\u0131\u015f\u0131k zaman aral\u0131klar\u0131ndaki benzerlik derecesini \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir de\u011fi\u015fkenin mevcut de\u011ferleri ile ge\u00e7mi\u015f de\u011ferleri aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7t\u00fc\u011f\u00fc i\u00e7in bazen &#8220;seri korelasyon&#8221; veya &#8220;gecikmeli korelasyon&#8221; olarak da adland\u0131r\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir zaman serisinde otokorelasyon y\u00fcksek oldu\u011funda, sadece ge\u00e7mi\u015f de\u011ferlere ba\u015fvurarak gelecekteki de\u011ferleri tahmin etmek kolayla\u015f\u0131r.<\/span><\/p>\n<h3> <strong>R&#8217;de otokorelasyon nas\u0131l hesaplan\u0131r<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de belirli bir de\u011fi\u015fkenin de\u011ferini 15 farkl\u0131 d\u00f6nem i\u00e7in g\u00f6steren a\u015fa\u011f\u0131daki zaman serisine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data<\/span>\nx &lt;- c(22, 24, 25, 25, 28, 29, 34, 37, 40, 44, 51, 48, 47, 50, 51)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Tseries<\/strong> k\u00fct\u00fcphanesindeki <strong>acf()<\/strong> fonksiyonunu kullanarak zaman serisindeki her gecikme i\u00e7in otokorelasyonu hesaplayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #107d3f;\"><span style=\"color: #993300;\">library<\/span> <span style=\"color: #000000;\">(tseries)<\/span>\n<\/span><\/span>\n<span style=\"color: #008080;\">#calculate autocorrelations<\/span>\nacf(x, pl= <span style=\"color: #008000;\">FALSE<\/span> )\n\n     0 1 2 3 4 5 6 7 8 9 10 \n 1.000 0.832 0.656 0.491 0.279 0.031 -0.165 -0.304 -0.401 -0.458 -0.450 \n    11 \n-0.369 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonucun yorumlanma \u015fekli \u015fu \u015fekildedir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Gecikme 0&#8217;daki otokorelasyon <strong>1&#8217;dir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Gecikme 1&#8217;deki otokorelasyon <strong>0,832&#8217;dir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Gecikme 2&#8217;deki otokorelasyon <strong>0,656&#8217;d\u0131r<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">3. gecikmedeki otokorelasyon <strong>0.491&#8217;dir<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Gecikme<\/strong> arg\u00fcman\u0131yla g\u00f6r\u00fcnt\u00fclenecek gecikme say\u0131s\u0131n\u0131 da belirtebiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate autocorrelations up to lag=5<\/span>\nacf(x, lag=5, pl= <span style=\"color: #008000;\">FALSE<\/span> )\n\nAutocorrelations of series 'x', by lag\n\n    0 1 2 3 4 5 \n1.000 0.832 0.656 0.491 0.279 0.031<\/strong><\/pre>\n<h3> <strong>R&#8217;de otokorelasyon fonksiyonu nas\u0131l \u00e7izilir<\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>pl=FALSE<\/strong> arg\u00fcman\u0131n\u0131 kullanmadan, R&#8217;deki bir zaman serisi i\u00e7in otokorelasyon fonksiyonunu \u00e7izebiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot autocorrelation function\n<\/span>acf(x)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11307 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/autocorrelationr1.png\" alt=\"R'de otokorelasyon\" width=\"428\" height=\"435\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X ekseni gecikme say\u0131s\u0131n\u0131, y ekseni ise bu gecikme say\u0131s\u0131ndaki otokorelasyonu g\u00f6r\u00fcnt\u00fcler. Varsay\u0131lan olarak \u00e7izim gecikme = 0&#8217;da ba\u015flar ve otokorelasyon gecikme = 0&#8217;da her zaman <strong>1<\/strong> olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ana<\/strong> arg\u00fcman\u0131 kullanarak olay \u00f6rg\u00fcs\u00fc i\u00e7in farkl\u0131 bir ba\u015fl\u0131k da belirleyebilirsiniz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot autocorrelation function with custom title\n<\/span>acf(x, main=' <span style=\"color: #008000;\">Autocorrelation by Lag<\/span> ')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11309 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/autocorrelationr2.png\" alt=\"R'de otokorelasyon grafi\u011fi\" width=\"437\" height=\"430\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/tr\/otokorelasyon-pitonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python&#8217;da Otokorelasyon Nas\u0131l Hesaplan\u0131r?<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/excel-otokorelasyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Otokorelasyon Nas\u0131l Hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Otokorelasyon, bir zaman serisi ile kendisinin gecikmeli versiyonu aras\u0131ndaki ard\u0131\u015f\u0131k zaman aral\u0131klar\u0131ndaki benzerlik derecesini \u00f6l\u00e7er. Bir de\u011fi\u015fkenin mevcut de\u011ferleri ile ge\u00e7mi\u015f de\u011ferleri aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7t\u00fc\u011f\u00fc i\u00e7in bazen &#8220;seri korelasyon&#8221; veya &#8220;gecikmeli korelasyon&#8221; olarak da adland\u0131r\u0131l\u0131r. Bir zaman serisinde otokorelasyon y\u00fcksek oldu\u011funda, sadece ge\u00e7mi\u015f de\u011ferlere ba\u015fvurarak gelecekteki de\u011ferleri tahmin etmek kolayla\u015f\u0131r. R&#8217;de otokorelasyon nas\u0131l hesaplan\u0131r R&#8217;de [&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":[],"class_list":["post-1115","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R - Statorialsde otokorelasyon nas\u0131l hesaplan\u0131r<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de otokorelasyonun nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/tr\/rde-otokorelasyon\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorialsde otokorelasyon nas\u0131l hesaplan\u0131r\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde R&#039;de otokorelasyonun nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T15:08:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/autocorrelationr1.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/\",\"url\":\"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/\",\"name\":\"R - Statorialsde otokorelasyon nas\u0131l hesaplan\u0131r\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T15:08:14+00:00\",\"dateModified\":\"2023-07-27T15:08:14+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde R&#39;de otokorelasyonun nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/rde-otokorelasyon\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de otokorelasyon nas\u0131l hesaplan\u0131r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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