Properties and inference for a new class of XGamma distributions with an application
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The current paper introduces a new flexible probability distribution model called transmuted XGamma distribution which pullulates from the XGamma distribution and possesses the characteristics of XGamma distribution in special cases. In the paper, we obtain the explicit expressions for some important statistical properties of the introduced distribution such as hazard rate and survival functions, mean residual life, moment-generating function, moments, skewness, kurtosis, distribution of its order statistics, Lorenz and Bonferroni curves. Besides obtaining the various effective estimators for the parameters of the distribution, estimation performances of these estimators are comparatively examined with a series of Monte Carlo simulations. Furthermore, to demonstrate the modeling ability of the proposed distribution on real-world phenomena, an illustrative example is performed by using an actual data set in connection with the field of the lifetime.
Açıklama
Anahtar Kelimeler
XGamma distribution, Transmuted XGamma distribution, Efficiency, Simulation
Kaynak
Mathematical Sciences
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
13
Sayı
4
Künye
Demirci Biçer, H. Properties and inference for a new class of XGamma distributions with an application. Math Sci 13, 335–346 (2019).
