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We obtain new mathematical properties of the exponentiated odd log-logisticfamily of distributions, and of its special case named the exponentiated oddlog-logistic Weibull, and its log transformed. A new location and scaleregression model is constructed, and some simulations are carried out to verifythe behavior of the maximum likelihood estimators, and of the modifieddeviance-based residuals. The methodology is applied to the Japanese-Brazilianemigration data.

New results and regression model for the exponentiated odd log-logistic Weibull family of distributions with applications