Geometric-Zero Truncated Poisson Distribution: Properties and Applications

Yunus AKDOGAN; Coskun KUS; Hamid BIDRAM; İsmail KINACI

doi:https://doi.org/10.35378/gujs.472978

Makale detayları

Geometric-Zero Truncated Poisson Distribution: Properties and Applications

Yazarlar:

Yunus AKDOGAN | Coskun KUS | Hamid BIDRAM | İsmail KINACI

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2019 Vol.32 Issue 4, pp.1339-1354

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000427926

eISSN:

2147-1762

DOI:

https://doi.org/10.35378/gujs.472978

Özet:

 


In this paper, a new discrete distribution is introduced by compounding the
geometric distribution with a zero truncated Poisson distribution, named
geometric-zero truncated Poisson (GZTP) distribution. Some basic properties of
the new distribution, such as the hazard rate function, moments, mode, median,
etc., are studied. We show mathematically and numerically that the hazard rate
function is increasing. The model parameters are estimated by the moment, least
squared error and maximum likelihood methods. A simulation study is performed
to compare the performance of the different estimators in terms of bias and
mean squared error. An application of the new model is also illustrated using
the three real data sets.


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Makale detayları

Geometric-Zero Truncated Poisson Distribution: Properties and Applications

Yazarlar: Yunus AKDOGAN | Coskun KUS | Hamid BIDRAM | İsmail KINACI

Yayıncı: Gazi University

Ana Başlıklar: Uygulamalı fizik

Dergi: Gazi University Journal of Science 2019 Vol.32 Issue 4, pp.1339-1354

Belge Tipi: Makale

Yayın Tarihi: 11/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000427926

eISSN: 2147-1762

DOI: https://doi.org/10.35378/gujs.472978

Sayı

Yazarlar:

Yunus AKDOGAN | Coskun KUS | Hamid BIDRAM | İsmail KINACI

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2019 Vol.32 Issue 4, pp.1339-1354

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000427926

eISSN:

2147-1762

DOI:

https://doi.org/10.35378/gujs.472978