{"id":95,"date":"2023-08-05T13:06:49","date_gmt":"2023-08-05T13:06:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/gini-indeksi-veya-gini-katsayisi\/"},"modified":"2023-08-05T13:06:49","modified_gmt":"2023-08-05T13:06:49","slug":"gini-indeksi-veya-gini-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/gini-indeksi-veya-gini-katsayisi\/","title":{"rendered":"Gini endeksi (veya gini katsay\u0131s\u0131)"},"content":{"rendered":"

Bu makalede Gini katsay\u0131s\u0131 olarak da adland\u0131r\u0131lan Gini indeksinin ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ek olarak Gini endeksini nas\u0131l bulaca\u011f\u0131n\u0131za dair \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. Son olarak bu istatistiksel metri\u011fin yorumunu ve Gini endeksi ile Lorenz e\u011frisi aras\u0131ndaki ili\u015fkinin ne oldu\u011funu g\u00f6rebileceksiniz. <\/p>\n

<\/span> Gini endeksi nedir?<\/span><\/h2>\n

Gini katsay\u0131s\u0131<\/strong> olarak da adland\u0131r\u0131lan Gini endeksi<\/strong> , bir b\u00f6lgenin gelir e\u015fitsizli\u011fini \u00f6l\u00e7mek i\u00e7in kullan\u0131lan istatistiksel bir de\u011ferdir. Ba\u015fka bir deyi\u015fle Gini endeksi, bir b\u00f6lgenin n\u00fcfusu aras\u0131ndaki gelir da\u011f\u0131l\u0131m\u0131n\u0131n ne kadar e\u015fit oldu\u011funu g\u00f6sterir.<\/p>\n

Gini endeksi 0 ile 1 aras\u0131nda bir say\u0131d\u0131r. Gini endeksinin 0 olmas\u0131, b\u00f6lgedeki gelir da\u011f\u0131l\u0131m\u0131n\u0131n m\u00fcmk\u00fcn oldu\u011fu kadar adil oldu\u011fu (m\u00fckemmel e\u015fitlik) veya di\u011fer bir deyi\u015fle t\u00fcm sakinlerin ayn\u0131 gelire sahip oldu\u011fu anlam\u0131na gelir. \u00d6te yandan Gini katsay\u0131s\u0131n\u0131n 1 olmas\u0131 tam bir e\u015fitsizli\u011fe, yani tek bir ki\u015finin o b\u00f6lgenin t\u00fcm gelirine sahip olup di\u011ferlerinin hi\u00e7bir \u015fey alamamas\u0131na kar\u015f\u0131l\u0131k gelir.<\/p>\n

Gini endeksi, d\u00fcnyadaki farkl\u0131 \u00fclkeler aras\u0131ndaki ekonomik durumu kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131yor, \u00e7\u00fcnk\u00fc gelir da\u011f\u0131l\u0131m\u0131 a\u00e7\u0131s\u0131ndan en e\u015fitlik\u00e7i \u00fclkeleri ve tam tersine en e\u015fitsiz \u00fclkeleri kar\u015f\u0131la\u015ft\u0131rmay\u0131 m\u00fcmk\u00fcn k\u0131l\u0131yor.<\/p>\n

Gini endeksi \u00fcnl\u00fc istatistik\u00e7i Corrado Gini taraf\u0131ndan icat edildi, dolay\u0131s\u0131yla ad\u0131 da buradan geliyor. <\/p>\n

<\/span> Gini endeksi nas\u0131l hesaplan\u0131r<\/span><\/h2>\n

Gini endeksinin (veya Gini katsay\u0131s\u0131n\u0131n) tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, bu istatistiksel \u00f6l\u00e7\u00fcm \u015fu \u015fekilde hesaplan\u0131r.<\/p>\n

Gini endeksinin (veya Gini katsay\u0131s\u0131n\u0131n) form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n

\"\\displaystyle<\/p>\n<\/p>\n

Alt\u0131n:<\/p>\n

    \n
  • \n

    \"G\"<\/p>\n

    Gini endeksidir.<\/li>\n

  • \n

    \"X\"<\/p>\n

    de\u011fi\u015fken n\u00fcfusun k\u00fcm\u00fclatif oran\u0131d\u0131r.<\/li>\n

  • \n

    \"Y\"<\/p>\n

    gelir de\u011fi\u015fkeninin k\u00fcm\u00fclatif oran\u0131d\u0131r.<\/li>\n<\/ul>\n

    Gini endeksinin tam olarak nas\u0131l belirlendi\u011fini g\u00f6rebilmeniz i\u00e7in a\u015fa\u011f\u0131da ad\u0131m ad\u0131m bir \u00f6rnek \u00e7\u00f6z\u00fcld\u00fc:<\/p>\n

      \n
    • A\u015fa\u011f\u0131daki tabloda geliri g\u00f6sterilen n\u00fcfusun Gini endeksini hesaplay\u0131n\u0131z. <\/li>\n<\/ul>\n
      \n
      \"gini<\/figure>\n<\/div>\n

      Gini katsay\u0131s\u0131n\u0131 bulmak i\u00e7in k\u00fcm\u00fclatif oran\u0131n yan\u0131 s\u0131ra her bir gelir d\u00fczeyine ait oran\u0131 da belirlememiz gerekiyor. Ayr\u0131ca Gini endeksinin de\u011ferini bulmak i\u00e7in form\u00fclde verilen hesaplamalar\u0131n yap\u0131lmas\u0131 gerekir.<\/p>\n

      K\u0131saca veri tablosuna a\u015fa\u011f\u0131daki s\u00fctunlar\u0131n eklenmesi gerekmektedir: <\/p>\n

      \n
      \"Gini<\/figure>\n<\/div>\n

      \u015eimdi Gini indeks form\u00fcl\u00fcn\u00fc kullan\u0131yoruz:<\/p>\n<\/p>\n

      \"\\displaystyle<\/p>\n<\/p>\n

      Son olarak verileri cebirsel ifadede yerine koyuyoruz ve Gini katsay\u0131s\u0131n\u0131 hesapl\u0131yoruz: <\/p>\n<\/p>\n

      \"\\displaystyle<\/p>\n<\/p>\n

      <\/span> Gini endeksi ile Lorenz e\u011frisi aras\u0131ndaki ili\u015fki<\/span><\/h2>\n

      Bu b\u00f6l\u00fcmde Gini katsay\u0131s\u0131 olarak da bilinen Gini endeksi ile Lorenz e\u011frisinin nas\u0131l ili\u015fkili oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n

      Lorenz e\u011frisi,<\/strong> bir b\u00f6lgenin n\u00fcfusu aras\u0131ndaki ekonomik e\u015fitsizliklerin grafiksel temsilidir. B\u00f6ylece Lorenz e\u011frisi g\u00f6rsel olarak bir n\u00fcfusun ekonomik e\u015fitsizli\u011fini g\u00f6sterir.<\/p>\n

      \u00d6te yandan, g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi Gini endeksi, bir n\u00fcfustaki e\u015fitsizlikleri say\u0131sal olarak tan\u0131mlamak i\u00e7in kullan\u0131lan bir de\u011ferdir.<\/p>\n

      Gini endeksi ve Lorenz e\u011frisi bu nedenle ayn\u0131 amaca sahiptir<\/strong> : her ikisi de bir b\u00f6lgede ya\u015fayanlar aras\u0131ndaki ekonomik e\u015fitsizlikleri belirlemek i\u00e7in kullan\u0131l\u0131r. Ancak Gini endeksi gelir e\u015fitsizli\u011fini say\u0131sal olarak de\u011ferlendirirken, Lorenz e\u011frisi ekonomik e\u015fitsizli\u011fi grafiksel olarak analiz ediyor.<\/p>\n

      Ayr\u0131ca Gini endeksi Lorenz e\u011frisinin s\u0131n\u0131rlad\u0131\u011f\u0131 alanlardan a\u015fa\u011f\u0131daki form\u00fcle g\u00f6re hesaplanabilir: <\/p>\n

      \n
      \"Gini<\/figure>\n<\/div>\n

      <\/span> Gini indeksinin yorumlanmas\u0131<\/span><\/h2>\n

      Gini endeksinin de\u011feri her ikisi de dahil olmak \u00fczere 0 ile 1 aras\u0131nda de\u011fi\u015febilir. Gini katsay\u0131s\u0131n\u0131n de\u011feri 0’a ne kadar yak\u0131nsa bu, b\u00f6lgede ekonomik e\u015fitli\u011fin daha fazla oldu\u011fu anlam\u0131na gelir. \u00d6te yandan Gini endeksinin de\u011feri ne kadar y\u00fcksek olursa, bir b\u00f6lgede ya\u015fayanlar aras\u0131ndaki gelir da\u011f\u0131l\u0131m\u0131ndaki e\u015fitsizlik de o kadar fazla olur.<\/p>\n

      Dolay\u0131s\u0131yla Gini endeksi, t\u00fcm sakinlerin tam olarak ayn\u0131 gelire sahip oldu\u011fu optimal bir durumda s\u0131f\u0131ra e\u015fit olacakt\u0131r. Tam tersine, b\u00f6lge tam bir e\u015fitsizlik g\u00f6sterdi\u011finde, yani tek bir sakinin t\u00fcm geliri ald\u0131\u011f\u0131 ve geri kalan sakinlerin hi\u00e7bir gelirinin olmad\u0131\u011f\u0131 durumlarda Gini endeksi 1 de\u011ferinde olacakt\u0131r.<\/p>\n

      Dolay\u0131s\u0131yla, gelir e\u015fitli\u011finin daha fazla oldu\u011fu \u00fclkeler, Gini endeksinin daha d\u00fc\u015f\u00fck oldu\u011fu \u00fclkelerdir. Ve e\u015fitsizli\u011fin en fazla oldu\u011fu \u00fclkelerin Gini endeksi \u00e7ok y\u00fcksek.<\/p>\n

      G\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi Gini endeksi Lorenz e\u011frisine ba\u011fl\u0131d\u0131r. B\u00f6ylece Gini endeksi ne kadar d\u00fc\u015f\u00fck olursa Lorenz e\u011frisi tam e\u015fitlik \u00e7izgisine o kadar yak\u0131n olacakt\u0131r. Gini endeksi ne kadar y\u00fcksek olursa, Gini e\u011frisinin e\u011frili\u011fi de o kadar fazla olur ve dolay\u0131s\u0131yla m\u00fckemmel e\u015fitli\u011fi temsil eden \u00e7izgiden o kadar uzakla\u015f\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Bu makalede Gini katsay\u0131s\u0131 olarak da adland\u0131r\u0131lan Gini indeksinin ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ek olarak Gini endeksini nas\u0131l bulaca\u011f\u0131n\u0131za dair \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. Son olarak bu istatistiksel metri\u011fin yorumunu ve Gini endeksi ile Lorenz e\u011frisi aras\u0131ndaki ili\u015fkinin ne oldu\u011funu g\u00f6rebileceksiniz. Gini endeksi nedir? Gini katsay\u0131s\u0131 olarak da adland\u0131r\u0131lan Gini endeksi , […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-95","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"\n\u25b7 Gini endeksi nedir?<\/title>\n<meta name=\"description\" content=\"Burada Gini endeksinin (veya Gini katsay\u0131s\u0131n\u0131n) ne oldu\u011funu, Gini endeksinin ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve Gini endeksinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011freneceksiniz.\" \/>\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\/gini-indeksi-veya-gini-katsayisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" 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