Geodesic
New goodness-of-fit tests for the family of Rayleigh distributions, based on a special property and a characterization
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 230-243 
I. A. Ragozin. New goodness-of-fit tests for the family of Rayleigh distributions, based on a special property and a characterization. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 230-243. http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a13/
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     author = {I. A. Ragozin},
     title = {New goodness-of-fit tests for the family of {Rayleigh} distributions, based on a special property and a characterization},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a13/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper we construct new goodness-of-fit tests for Rayleigh distribution family with an arbitrary scale-parameter $\sigma$, based on some property and some characterization. We describe their limiting distributions, calculate local Bahadur efficiencies under close alternatives and perform asymptotic comparison of our test statistics.

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