Topp–Leone generated family of distributions: Properties and applications

ABSTRACT

We introduce a new family of distributions based on a one-parameter distribution exhibiting bathtub-shaped hazard rates. We study the mathematical properties of the family and estimate its parameters by the method of maximum likelihood. Finally, the usefulness of the family is illustrated using a real dataset.

KEYWORDS:

• Generated family
• Maximum likelihood
• Moment
• Order statistic
• Quantile function.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62E99

Acknowledgments

The authors would like to thank the editor, the associate editor, and the three referees for careful reading and comments which greatly improved the article.