Empirical likelihood ratio-based goodness-of-fit test for the logistic distribution

Abstract

The logistic distribution has been used to model growth curves in survival analysis and biological studies. In this article, we propose a goodness-of-fit test for the logistic distribution based on the empirical likelihood ratio. The test is constructed based on the methodology introduced by Vexler and Gurevich [17]. In order to compute the test statistic, parameters of the distribution are estimated by the method of maximum likelihood. Power comparisons of the proposed test with some known competing tests are carried out via simulations. Finally, an illustrative example is presented and analyzed.

Keywords:

• logistic distribution
• empirical likelihood ratio
• goodness-of-fit test
• approximate maximum likelihood estimates

AMS classification:

• 62G86

Acknowledgements

The author thanks the two referees for making some valuable suggestions which led to a considerable improvement in the presentation of this manuscript.

Disclosure statement

No potential conflict of interest was reported by the author.