Morad Alizadeh

Westudysomemathematicalpropertiesofanewgeneratorofcon- tinuous distributions with three additional parameters, called the exponenti- ated logarithmic generated family, to extend the normal, Weibull, gamma and Gumbeldistributions, amongother well-known models.Some special models are discussed. Many properties of this family are studied, some inference pro- ceduresdevelopedandasimulationstudyperformedtoverifytheadequacyof the estimators of the model parameters. We prove empirically the potentiality of the new family by means of two real data sets. The simulation study for different samples sizes assesses the performance of the maximum likelihood estimates obtained by the Swarm Optimization method. We also evaluate the performance of single and dual bootstrap methods in constructing interval estimates for the parameters. Because of the intensive simulations, we use parallel computing on a supercomputer.