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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. A Review of Goodness-of-Fit Tests for the Rayleigh Distribution. Austrian Journal of Statistics, 1–22. Retrieved from