Geometric-zero truncated poisson distribution: properties and applications
Yükleniyor...
Dosyalar
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
GAZI UNIV
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Anahtar Kelimeler
Compounding, Estimation, Geometric distribution, Zero truncated Poisson distribution
Kaynak
GAZI UNIVERSITY JOURNAL OF SCIENCE
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
32
Sayı
4
Künye
Akdogan, Y., Kus, C., Bidram, H., Kinaci, I. (2019). Geometric-Zero Truncated Poisson Distribution: Properties and Applications. Gazi University Journal of Science, 32(4), 1339-1354.
