Exponentiated UEHL Distribution: Properties and Applications

Yıl 2023, Cilt: 4 Sayı: 2, 232 - 241, 31.12.2023

Murat Genç Ömer Özbilen

https://doi.org/10.53501/rteufemud.1388416

Öz

In this paper, we propose a distribution for modeling data defined on a unit interval using an exponentiated transformation. The new distribution is based on the unit exponential half-logistic distribution, a member of proportional hazard models. Several measures of the statistical characterization of the distribution are discussed. The statistical inference of the parameters of the proposed distribution is studied by the maximum likelihood method. To explore the properties of the maximum likelihood estimates of the parameters, simulation studies are carried out under various scenarios. Furthermore, a real dataset is analyzed to demonstrate the performance of the distribution.

Anahtar Kelimeler

Exponentiated distribution, UEHL distribution, maximum likelihood estimator, goodness of fit

Üstellenmiş UEHL Dağılımı: Özellikler ve Uygulamalar

Öz

Bu makalede, birim aralıkta tanımlanan verilerin üstel bir dönüşüm kullanılarak modellenmesi için bir dağılım önerilmiştir. Yeni dağılım, orantılı tehlike modellerinin bir üyesi olan birim üstel yarı lojistik dağılıma dayanmaktadır. Dağılımın istatistiksel karakterizasyonuna ilişkin çeşitli ölçütler tartışılmıştır. Önerilen dağılımın parametrelerinin istatistiksel çıkarımı en çok olabilirlik yöntemi ile incelenmiştir. Parametrelerin en çok olabilirlik tahminlerinin özelliklerini araştırmak için çeşitli senaryolar altında simülasyon çalışmaları gerçekleştirilmiştir. Ayrıca, dağılımın performansını göstermek için gerçek bir veri kümesi analiz edilmiştir.

Anahtar Kelimeler

Üstellenmiş dağılım, UEHL dağılımı, en çok olabilirlik tahmin edicisi, uyum iyiliği

Kaynakça

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