The Marshall-Olkin-Gompertz-Exponentiated Half Logistic-G Family of Distributions: Model, Properties and Applications
Keywords:
Marshall-Olkin-G, Gompertz-G distribution, exponentiated half logistic-G, Monte Carlo simulation, order statistics, Rnyi entropy, stochastic orderingAbstract
In this work, a new family of distributions is introduced by combining Marshall-Olkin and Gompertz-exponentiated half logistic-G distributions. The new distribution is an infinite linear combination of the exponentiated-G family of distributions. Some of key properties including order statistics, ordinary moments, quantiles and moment generating function are derived. To estimate the
model parameters, the maximum likelihood method is also applied by means of Monte Carlo simulation study. Applications of the proposed family is demonstrated in many fields such as survival analysis and univariate data fitting. Empirical results show that the proposed models provide better fits than other well-known classes of distributions in different application fields.
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