Inference on a four-parameter generalized weighted exponential distribution
Abstract
In thi paper, we introduce a flexible extension of the generalized weighted exponential distribution which is called four-parameter generalized weighted
exponential (FGWE) distribution. Theoretical properties of this model including the mode, median, moment generator function, moments, mean deviations, mean residual life, coefficients of skewness and kurtosis, hazard function, survival function, Bonferroni and Lorenz curves, reliability probability, entropy measures and stochasting ordering are derived and studied in details.
We develop the maximum likelihood estimators of the unknown parameters and
their corresponding asymptotic confidence intervals. A simulation
study and a real world application are also worked out to assess the
maximum likelihood estimators and to illustrate the applicability of
the proposed distribution in practice.
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