Extended Exponentiated Chen Distribution: Mathematical Properties and Applications

Statistics, Optimization and Information Computing

article

ZohrehZamani¹  Mahmoud Afshari²  H. Karamikabir³  M. Alizadeh²  M. Masoom Ali⁴ 

[1] Shahid Bahonar University;Associate Professor. Persian Gulf University;Persian Gulf University;Ball State University

关键词: Chen distribution;    Exponentiated Chen distribution;    Moments;    Mean residual life;    Mean past lifetime;    Maximum likelihood estimation;   

DOI  :  10.19139/soic-2310-5070-1098

来源: Istituto Superiore di Sanita

【 摘 要 】

In this paper, we introduce a new four-parameter distribution which is called Extended Exponentiated Chen (EE-C) distribution. Theoretical properties of this model including the hazard function, moments, conditional moments, mean residual life, mean past lifetime, coefficients of skewness and kurtosis, order statistics and asymptotic properties are derived and studied. The maximum likelihood estimation technique is used to estimate the parameters of this model. The estimation of the model parameters by Least squares, Weighted Least Squares, Crammer-von-Mises, Anderson-Darling and right-tailed Anderson-Darling methods are also briefly introduced and numerically investigated. Moreover, simulation schemes are derived. At the end, three applications of the model with two real data sets are presented for the illustration of the flexibility of the proposed distribution.

【 授权许可】

Unknown