{"id":3160,"date":"2023-07-18T22:25:37","date_gmt":"2023-07-18T22:25:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-tbatlar\/"},"modified":"2023-07-18T22:25:37","modified_gmt":"2023-07-18T22:25:37","slug":"rdeki-tbatlar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-tbatlar\/","title":{"rendered":"Tbats modeli r&#39;ye nas\u0131l uyarlan\u0131r (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">Pop\u00fcler bir zaman serisi tahmin y\u00f6ntemi, a\u015fa\u011f\u0131dakilerin k\u0131saltmas\u0131 olan <strong>TBATS<\/strong> olarak bilinir:<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Trigonometrik<\/strong> mevsimsellik<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Kutu<\/strong> -Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Bir<\/strong> RMA hatas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E\u011filim<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Mevsimsel<\/strong> bile\u015fenler.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntem, a\u015fa\u011f\u0131dakilerin oldu\u011fu ve olmad\u0131\u011f\u0131 \u00e7e\u015fitli modellere uyar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Mevsimsellik<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\">ARMA(p,q) s\u00fcreci<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7e\u015fitli trendler<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7e\u015fitli mevsimsel etkiler<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntem, son model olarak <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">Akaike Bilgi Kriteri<\/a> (AIC) de\u011feri i\u00e7in en d\u00fc\u015f\u00fck de\u011fere sahip modeli se\u00e7ecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Bir TBATS modelini R&#8217;deki bir zaman serisi veri k\u00fcmesine s\u0131\u011fd\u0131rman\u0131n en kolay yolu, <strong>tahmin<\/strong> paketindeki <strong>tbats<\/strong> i\u015flevini kullanmakt\u0131r.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekte bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131 g\u00f6sterilmektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de bir TBATS modeli nas\u0131l uyarlan\u0131r<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in, Amerika Birle\u015fik Devletleri&#8217;nde 1973&#8217;ten 1978&#8217;e kadar ayl\u0131k kaza sonucu \u00f6l\u00fcmlerin toplam say\u0131s\u0131na ili\u015fkin de\u011ferleri i\u00e7eren <strong>USAccDeaths<\/strong> adl\u0131 yerle\u015fik R veri k\u00fcmesini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view USAccDeaths dataset\n<span style=\"color: #000000;\">USAccDeaths\n\n       Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec\n1973 9007 8106 8928 9137 10017 10826 11317 10744 9713 9938 9161 8927\n1974 7750 6981 8038 8422 8714 9512 10120 9823 8743 9129 8710 8680\n1975 8162 7306 8124 7870 9387 9556 10093 9620 8285 8466 8160 8034\n1976 7717 7461 7767 7925 8623 8945 10078 9179 8037 8488 7874 8647\n1977 7792 6957 7726 8106 8890 9299 10625 9302 8314 8850 8265 8796\n1978 7836 6892 7791 8192 9115 9434 10484 9827 9110 9070 8633 9240<\/span><\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu veri setine bir TBATS modeli s\u0131\u011fd\u0131rmak ve \u00f6n\u00fcm\u00fczdeki aylara ait de\u011ferler hakk\u0131nda tahminlerde bulunmak i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">library<\/span> (forecast)\n\n<span style=\"color: #008080;\">#fit TBATS model\n<\/span>fit &lt;- tbats(USAccDeaths)\n\n<span style=\"color: #008080;\">#use model to make predictions\n<\/span>predict &lt;- predict(fit)\n\n<span style=\"color: #008080;\">#view predictions      \n<\/span>predict\n\n         Point Forecast Lo 80 Hi 80 Lo 95 Hi 95\nJan 1979 8307.597 7982.943 8632.251 7811.081 8804.113\nFeb 1979 7533,680 7165,539 7901,822 6970,656 8096,704\nMar 1979 8305.196 7882.740 8727.651 7659.106 8951.286\nApr 1979 8616.921 8150.753 9083.089 7903.978 9329.864\nMay 1979 9430.088 8924.028 9936.147 8656.137 10204.038\nJun 1979 9946.448 9403.364 10489.532 9115.873 10777.023\nJul 1979 10744,690 10167,936 11321,445 9862,621 11626,760\nAug 1979 10108,781 9499,282 10718,280 9176,632 11040,929\nSep 1979 9034.784 8395.710 9673.857 8057.405 10012.162\nOct 1979 9336.862 8668.087 10005.636 8314.060 10359.664\nNov 1979 8819.681 8124.604 9514.759 7756.652 9882.711\nDec 1979 9099.344 8376.864 9821.824 7994.407 10204.282\nJan 1980 8307.597 7563.245 9051.950 7169.208 9445.986\nFeb 1980 7533.680 6769.358 8298.002 6364.750 8702.610\nMar 1980 8305.196 7513.281 9097.111 7094.067 9516.325\nApr 1980 8616,921 7800,849 9432,993 7368,847 9864,995\nMay 1980 9430.088 8590.590 10269.585 8146.187 10713.988\nJun 1980 9946.448 9084.125 10808.771 8627.639 11265.257\nJul 1980 10744.690 9860.776 11628.605 9392.859 12096.522\nAug 1980 10108,781 9203,160 11014,402 8723,753 11493,809\nSep 1980 9034.784 8109.000 9960.567 7618.920 10450.647\nOct 1980 9336.862 8390.331 10283.392 7889.269 10784.455\nNov 1980 8819.681 7854.387 9784.976 7343.391 10295.972\nDec 1980 9099.344 8114.135 10084.554 7592.597 10606.092<\/span>\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7, \u00f6n\u00fcm\u00fczdeki aylar i\u00e7in tahmin edilen \u00f6l\u00fcm say\u0131s\u0131n\u0131n yan\u0131 s\u0131ra %80 ve %95 g\u00fcven aral\u0131klar\u0131n\u0131 da g\u00f6steriyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin Ocak 1979 i\u00e7in \u015fu tahminleri g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Beklenen \u00f6l\u00fcm say\u0131s\u0131: <strong>8.307.597<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6l\u00fcm say\u0131s\u0131 i\u00e7in %80 g\u00fcven aral\u0131\u011f\u0131: <strong>[7982.943, 8632.251]<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6l\u00fcm say\u0131s\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131: <strong>[7811.081, 8804.113]<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Gelecekteki tahmin edilen bu de\u011ferleri \u00e7izmek i\u00e7in <strong>arsa()<\/strong> fonksiyonunu da kullanabiliriz:<\/span><\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#plot the predicted values<\/span>\nplot(forecast(fit))\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26850 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tbats1.jpg\" alt=\"\" width=\"443\" height=\"431\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Mavi \u00e7izgi tahmin edilen gelecek de\u011ferleri, gri bantlar ise g\u00fcven aral\u0131\u011f\u0131n\u0131n s\u0131n\u0131rlar\u0131n\u0131 temsil eder.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;de di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-zaman-serisini-cizin\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de bir zaman serisi nas\u0131l \u00e7izilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pop\u00fcler bir zaman serisi tahmin y\u00f6ntemi, a\u015fa\u011f\u0131dakilerin k\u0131saltmas\u0131 olan TBATS olarak bilinir: Trigonometrik mevsimsellik Kutu -Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc Bir RMA hatas\u0131 E\u011filim Mevsimsel bile\u015fenler. Bu y\u00f6ntem, a\u015fa\u011f\u0131dakilerin oldu\u011fu ve olmad\u0131\u011f\u0131 \u00e7e\u015fitli modellere uyar: Mevsimsellik Bir Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc ARMA(p,q) s\u00fcreci \u00c7e\u015fitli trendler \u00c7e\u015fitli mevsimsel etkiler Bu y\u00f6ntem, son model olarak Akaike Bilgi Kriteri (AIC) de\u011feri i\u00e7in en [&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-3160","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&#039;ye TBATS modeli nas\u0131l s\u0131\u011fd\u0131r\u0131l\u0131r (\u00f6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;deki bir zaman serisi veri k\u00fcmesi i\u00e7in TBATS modelinin nas\u0131l s\u0131\u011fd\u0131r\u0131laca\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\/rdeki-tbatlar\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;ye TBATS modeli nas\u0131l s\u0131\u011fd\u0131r\u0131l\u0131r (\u00f6rnekle) - 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