Generalized Modified Exponential-G Family of Distributions: Its Properties and Applications
A new family of continuous distributions called generalized modified exponential-G family is proposed. The probability density and cumulative distribution function are expressed as infinite linear mixtures of exponentiated-G distribution. Important statistical properties such as moment generating function, distribution of order statistics, power moments, asymptotes and shapes of the proposed family are investigated. The maximum likelihood estimation of the parameters is presented. To check the suitability the proposed model is compared with its submodels and also with a few useful lifetime models by conducting three data fitting experiments with real-life data sets.
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