|
Abstract
|
We introduce and study general mathematical properties of a new generator of continuous distributions with two extra parameters called the
Generalized Transmuted Family of Distributions. We investigate the
shapes and present some special models. The new density function
can be expressed as a linear combination of exponentiated densities
in terms of the same baseline distribution. We obtain explicit expressions for the ordinary and incomplete moments and generating function,
Bonferroni and Lorenz curves, asymptotic distribution of the extreme
values, Shannon and Rényi entropies and order statistics, which hold
for any baseline model. Further, we introduce a bivariate extension of
the new family. We discuss the dierent methods of estimation of the
model parameters and illustrate the potential application of the model
via real data. A brief simulation for evaluating Maximum likelihood
estimator is done. Finally certain characterziations of our model are
presented.
|