Entropy-based goodness-of-fit tests for the Pareto I distribution

ABSTRACT

In this article, having observed the generalized order statistics in a sample, we construct a test for the hypothesis that the underlying distribution is the Pareto I distribution. The Shannon entropy of generalized order statistics is used to test the null hypothesis.

KEYWORDS:

• Generalized order statistics
• Goodness-of-fit test
• Maximum likelihood estimation
• Pareto I distribution
• Shannon entropy.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62G30
• 62B10
• 62G10

Acknowledgments

The authors acknowledge the helpful comments and suggestions from the Editor-in-Chief and two referees that substantially improved the presentation.