A K-S Type Test for Exponentiality Based on Empirical Hankel Transforms

Abstract

A uniqueness theorem for a recently introduced special Hankel transform of probability distributions on the non negative half-line motivates a K-S type test statistic based on empirical Hankel transforms for testing the hypothesis of exponentiality. This article deals with the asymptotic behavior of the new test.

Keywords:

• Goodness-of-fit test for exponentiality
• Hankel transform
• K-S type test

Mathematics Subject Classification:

• 62G10
• 60E10

Acknowledgement

The authors would like to thank the Associate Editor and two anonymous referees for their valuable comments that helped improve the presentation and quality of this article.