Oransal Lindley Fréchet Dağılımının Bazı Teorik ve Hesaplamalı Yönleri

Yıl 2017, Cilt: 10 Sayı: 2, 129 - 140, 30.12.2017

Mustafa Ç. Korkmaz Haitham M. Yousof M. Masoom Ali

Öz

Bu çalışmada, Fréchet modelinin genişletilmiş bir versiyonu [17] tarafından önerilen oransal Lindley dağılım ailesi kullanılarak çalışılmıştır. Bu modele ait kuantil fonksiyonu, yoğunluk biçimi, momentler, üreten fonksiyon ve sıra istatistikleri gibi istatistiksel özellikleri elde edilmiştir. Model parametrelerinin en çok olabilirlik tahminleri elde edildi. En çok olabilirlik parametre tahminleri için bir simülasyon çalışılması verilmiştir. Önerilen modelin gerçek veri seti üzerindeki uygunluğu için üç veri analizi yapılmıştır.

Anahtar Kelimeler

Fréchet dağılımı, Oransal Lindley-G ailesi, Odd Lindley Fréchet dağılımı.

Some Theoretical and Computational Aspects of the Odd Lindley Fréchet Distribution

Öz

In this article, we study an extension of the Fréchet model by using the the odd Lindley-G family of distributions, which was introduced by [17]. Its some statistical properties such as quantile function, density shapes, moments, generating functions and order statistics are obtained. We estimate its parameters by maximum likelihood method. The Monte Carlo simulation is used for assessing the performance of the maximum likelihood method. The usefulness of the odd Lindley Fréchet model is illustrated by means of three real data sets.

Anahtar Kelimeler

Fréchet Distribution, Odd Lindley-G family, Odd Lindley Fréchet distribution

Kaynakça

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