Abstract
A new weighted exponential distribution is proposed with the feature to use a logarithmic weight function. Among the merits, this distribution shows a remarkable flexibility with respect to the probability density and hazard functions shapes. Mathematical properties are studied, including moments, residual life function, order statistics and record values. A parametric estimation is performed using the maximum likelihood method. Applications are provided using four practical data sets. It is shown that the new distribution works better than a number of classical and recent distributions.
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