The mixed weibullnegative binomial distribution
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Tarih
2011
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Yayıncı
Selcuk University Research Center of Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce the Weibull Negative Binomial (WNB) with four parameters distribution which is obtained by compounding Weibull and Negative Binomial distributions, where compounding procedure follows same way that was previously carried out by Adamidis and Loukas (1998) and Kus (2007). This new distribution is a genaral case Exponential-geometric (EG) and Weibull-geometric distributions (WG), which was introduced recently by Adamidis and Loukas (1998) and Barreto-Souza et. all. (2010) respectively. The WNB distribution has increasing, decreasing, upside down bathtub hazard function. We obtain several properties of the WNB distributions such as moments, order statistics, estimation by maximum likelihood and inference for large sample. Furthermore, EM algorithm is also used to determine the maximum likelihood estimates of parameters and we discuss Renyi and Shannon entropy. Applications to real data sets are given to show the exibility and potentiality of the proposed distribution.
Açıklama
URL: http://sjam.selcuk.edu.tr/sjam/article/view/288
Anahtar Kelimeler
Birleştirme, Compounding, Karışık dağıtım, Mixed distribution, Başarısızlık oranı, Failure rate, Negatif Binom dağılımı, Negative Binomial distribution, Maksimum olasılık tahmini, Maximum likelihood estimation, Ömür boyu dağılımları, Lifetime distributions, Weibull dağılımı, Weibull distribution, EM algoritması, EM algorithm
Kaynak
Selcuk Journal of Applied Mathematics
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Künye
Korkmaz, M. Ç., Kuş, C., Erol, H. (2011). The mixed weibullnegative binomial distribution. Selcuk Journal of Applied Mathematics, 12, 21-33.
