An extension of the poisson-lindley distribution and its applications
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
An extended version of the compound Poisson distribution is obtained by compounding the Poisson distribution with the generalized two-parameter Lindley distribution. This paper offers a three-parameter generalized Poisson-Lindley distribution, which generalizes Poisson-Lindley distribution, as a model for count data. This distribution provides enough flexibility for analyzing different types of count data. The study examines various properties of this model. The behavior of the density function, the expressions for the moments, the distribution of the sums of random variables and truncated and weighted versions of this distribution is obtained. Estimation of the parameters is discussed using the method of moments and maximum likelihood estimators. A simulation study is carried out to investigate the average bias and average mean square error (MSE) of the simulated estimates. An application of this distribution, including several examples of the fitting of this distribution to data, and comparing with other discrete distributions, are given.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Mahmoudi, E. (2009). An extension of the poisson-lindley distribution and its applications. Maltepe Üniversitesi. s. 147.
