Kadir KARAKAYA, Yunus AKDOĞAN, Caner TANIŞ, Egemen ÖZKAN

ÜSTEL DAĞILIMA DAYALI BAZI DÖNÜŞTÜRÜLMÜŞ DAĞILIM AİLELERİ İÇİN YENİ BİR ALTERNATİF SEÇİM KRİTERİ

Akaike bilgi kriteri literatürde en popüler seçim kriteri olmasına rağmen, dönüştürülmüş dağılım ailelerinde diğer seçim kriterlerine göre doğru modeli belirlemede uyumsuz sonuçlar vermektedir. Akaike bilgi kriterine yeni bir açılım getirmek için motive olduk. Bu çalışmada, dönüştürülmüş dağılım ailesi için Akaike bilgi kriterine alternatif olarak yeni bir seçim kriteri önerilmiştir. Üstel dağılıma dayalı bu ailenin özel durumları tartışılmıştır. Dönüştürülmüş dağılım ailesinin derecesini belirlemek için bir algoritma yürütülmüştür. Monte Carlo simülasyon çalışması, bu yeni kriter ile Akaike bilgi kriterinin karşılaştırılması için yapılmıştır. Ayrıca, bir gerçek veri örneği sunulmuştur

A NEW ALTERNATIVE SELECTION CRITERION FOR FAMILY OF SOME TRANSMUTED DISTRIBUTIONS BASED ON EXPONENTIAL DISTRIBUTION

Although Akaike information criterion is the most popular selection criterion in the literature, it gives inconsistent results in determining the correct model according to other selection criteria in transmuted distribution families. We motivate a new extension of the Akaike information criterion in the solution of this problem. In this paper, we suggest a new selection criterion as an alternative to the Akaike information criterion for the family of transmuted distribution. We discuss special cases of this family based on exponential distribution. A Monte Carlo simulation study is considered to compare the performances of this new criterion with the Akaike information criterion. Also, a numerical example is presented.

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Mugla Journal of Science and Technology-Cover

ISSN: 2149-3596
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2015
Yayıncı: Muğla Sıtkı Koçman Üniversitesi Fen Bilimleri Enstitüsü

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