A Review of Goodness-of-Fit Tests for the Rayleigh Distribution


  • Shawn Liebenberg North-West University
  • James Allison Nort-West University




The Rayleigh distribution has recently become popular as a model for a range of phenomena. As a result, a number of goodness-of-fit tests have been developed for this distribution. In this paper, we provide the first overview of goodness-of-fit tests for the Rayleigh distribution and compare these tests in a Monte-Carlo study to identify the tests that provide the highest powers against a wide range of alternatives. Our findings suggest that two recently developed tests as well as a test based on the Laplace transform and a test based on the Hellinger distance are the better performing tests.




How to Cite

Liebenberg, S., & Allison, J. (2023). A Review of Goodness-of-Fit Tests for the Rayleigh Distribution. Austrian Journal of Statistics, 52(1), 1–22. https://doi.org/10.17713/ajs.v52i1.1322