The generalized transmuted-G family of distributions

ABSTRACT

We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the transmuted-G class. We provide six special models of the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of three applications to real data sets.

KEYWORDS:

• Entropy
• generating function, maximum likelihood
• order statistic
• transmuted family.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62N01
• 62N02
• 62E10

Acknowledgments

The authors would like to thank the Editor in Chief and the referee for very careful reading and valuable comments which greatly improved the paper.