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Abstract
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We introduce and study general mathematical properties of a new generator of continuous
distributions with two extra parameters called the Another generalized transmuted
family of distributions. We present some special models. We investigate the asymptotes
and shapes. The new density function can be expressed as a linear combination of exponentiated
densities based on the same baseline distribution. We obtain explicit expressions
for the ordinary and incomplete moments and generating functions, Bonferroni and Lorenz
curves, asymptotic distribution of the extreme values, Shannon and Renyi entropies and
order statistics, which hold for any baseline model, certain characterisations are presented.
Further, we introduce a bivariate extensions of the new family. We discuss the di erent
method of estimation of the model parameters and illustrate the potentiality of the family
by means of two applications to real data. A brief simulation for evaluating Maximum
likelihood estimator is done
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