The exponential lindley odd log-logistic-g family: properties, characterizations and applications

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Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Atlantis Press

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

A new family of distributions called the exponential Lindley odd log-logistic G family is introduced and studied. The new generator generalizes three newly defined G families and also defines two new G families We provide some mathematical properties of the new family. Characterizations based on truncated moments as well as in terms of the hazard function are presented. The maximum likelihood is used for estimating the model parameters. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study. Finally, the usefulness of the family is illustrated by means of three real data sets. The new model provides consistently better fits than other competitive models for these data sets.

Açıklama

Anahtar Kelimeler

Exponential Lindley family, Odd log-logistic family, Mixture distribution family, Maximum likeli-hood, Moments, Characterizations, Generalized distribution family, Mixture family

Kaynak

Journal of Statistical Theory and Applications (JSTA)

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

17

Sayı

3

Künye

Mustafa Ç. Korkmaz, Haitham M. Yousof, & G. G. Hamedani. (2018). The Exponential Lindley Odd Log-Logistic-G Family: Properties, Characterizations and Applications. Journal of Statistical Theory and Applications (JSTA), 3. https://doi.org/10.2991/jsta.2018.17.3.10