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Keywords
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Chen distribution, Exponentiated Chen distribution, Moments, Mean residual life, Mean past lifetime, Maximum likelihood estimation
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Abstract
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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 three real data sets are presented for the illustration of
the flexibility of the proposed distribution.
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