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Abstract
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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.
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