Extended Exponentiated Chen Distribution: Mathematical Properties and Applications

  • Zohreh Zamani Shahid Bahonar University, Iran
  • Mahmoud Afshari Associate Professor. Persian Gulf University, 7516913798, Iran
  • H. Karamikabir Persian Gulf University, Iran
  • M. Alizadeh Persian Gulf University, Iran
  • M. Masoom Ali Ball State University, USA
DOI: https://doi.org/10.19139/soic-2310-5070-1098
Keywords: Chen distribution, Exponentiated Chen distribution, Moments, Mean residual life, Mean past lifetime, Maximum likelihood estimation

Abstract

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.

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Published
2021-07-10
How to Cite
Zamani, Z., Afshari, M., H. Karamikabir, M. Alizadeh, & M. Masoom Ali. (2021). Extended Exponentiated Chen Distribution: Mathematical Properties and Applications. Statistics, Optimization & Information Computing, 10(2), 606-626. https://doi.org/10.19139/soic-2310-5070-1098
Issue
Vol 10 No 2 (2022)
Section
Research Articles
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