• ISSN: 2148-2225 (online)

Ulaştırma ve Lojistik Kongreleri

alphanumeric journal

The Journal of Operations Research, Statistics, Econometrics and Management Information Systems

Marshall-Olkin Half Logistic Distribution with Theory and Applications

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Diren Yeğen

Gamze Özel, Ph.D.


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: Entropy, Half Logistic Distribution, Maximum Likelihood Estimation, Order Statistics, Simulation

Jel Classification: C44

Teori ve Uygulamaları ile Marshall-Olkin Yarı Lojistik Dağılımı

Öz

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.

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

Suggested citation

Yeğen, D. & Özel, G. (). Marshall-Olkin Half Logistic Distribution with Theory and Applications. Alphanumeric Journal, 6(2), 407-416. http://dx.doi.org/10.17093/alphanumeric.409992

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Volume 6, Issue 2, 2018

2018.06.02.STAT.04

alphanumeric journal

Volume 6, Issue 2, 2018

Pages 407-416

Received: March 27, 2017

Accepted: Nov. 30, 2018

Published: Dec. 31, 2018

Full Text [666.3 KB]

2018 Yeğen, D., Özel, G.

This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.

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