Marshall-Olkin Half Logistic Distribution with Theory and Applications

Year 2018, Volume 6, Issue 2, 2018, 407 - 416, 31.12.2018

Diren Yegen Gamze Özel

https://doi.org/10.17093/alphanumeric.409992

Cited By: 3

Abstract

In this study we present a new distribution named as Marshall-Olkin Half Logistic (MOHL) by extending half logistic distribution to increase the flexibility. We derive some fundamental properties including survival function, hazard rate function, skewness, kurtosis, order statistics and entropy function. Parameters are estimated using maximum likelihood estimation method to fit new model. Then, a simulation study is conducted to show the performance of the proposed model.

Keywords

Half logistic distribution, Maximum likelihood estimation, Simulation, Entropy

Teori ve Uygulamaları ile Marshall-Olkin Yarı Lojistik Dağılımı

Abstract

Bu çalışmada esnekliği arttırmak için yarı lojistik dağılımı genişletilerek yeni bir dağılım olarak Marshall-Olkin Yarı Lojistik (MOYL) dağılımı önerilmiştir. Yaşam fonksiyonu, tehlike oranı fonksiyonu, çarpıklık, basıklık, sıralı istatistikler ve entropi fonksiyonu gibi temel özellikler elde edilmiştir. Yeni modelin uyumu için en çok olabilirlik yöntemi kullanılmıştır Daha sonra önerilen modelin performansı için bir simülasyon çalışması yapılmıştır.

Keywords

Yarı Lojistik Dağılımı, En Çok Olabilirlik Tahmini, Simülasyon, Entropi, Sıralı İstatistik

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