An alternative distribution to lindley and power lindley distributions with characterizations, different estimation methods and data applications

[ X ]

Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Walter De Gruyter Gmbh

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This paper proposes a new extended Lindley distribution, which has a more flexible density and hazard rate shapes than the Lindley and Power Lindley distributions, based on the mixture distribution structure in order to model with new distribution characteristics real data phenomena. Its some distributional properties such as the shapes, moments, quantile function, Bonferonni and Lorenz curves, mean deviations and order statistics have been obtained. Characterizations based on two truncated moments, conditional expectation as well as in terms of the hazard function are presented. Different estimation procedures have been employed to estimate the unknown parameters and their performances are compared via Monte Carlo simulations. The flexibility and importance of the proposed model are illustrated by two real data sets.

Açıklama

Anahtar Kelimeler

Lindley distribution, Extended Weibull distribution, Generalized Power Lindley distribution, Non-monotone hazard rate, Characterizations

Kaynak

Mathematica Slovaca

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

70

Sayı

4

Künye

Korkmaz, M. C., & Hamedani, G. G. (2020). An alternative distribution to Lindley and Power Lindley distributions with characterizations, different estimation methods and data applications. Mathematica Slovaca, 70(4), 953-978. doi: 10.1515/ms-2017-0406