A new exponentiated class of distributions: Properties and applications

ABSTRACT

Motivated by series-parallel-series systems, we introduce a new generator of continuous distributions with three extra parameters called the generalized exponentiated class of distributions. We study its mathematical properties and introduce a bivariate extension of the class. We discuss the estimation of its parameters by maximum likelihood and illustrate the potentiality of the class by applications to two real datasets.

KEYWORDS:

• Bivariate extension
• Exponentiated distribution
• Generated family
• Order statistic
• The exponentiated generalized class of distributions.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62E99

Acknowledgments

The authors would like to thank the editor and the referee for careful reading and comments which greatly improved the article.