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In this paper, different goodness of fit tests for the Rayleigh distribution are considered based on simple random sampling (SRS) and ranked set sampling (RSS) techniques. The performance of the suggested estimators is evaluated in terms of the power of the tests by using Monte Carlo simulation. It is found that the suggested RSS tests perform better than their counterparts  in SRS.


Goodness of fit tests simple random sampling ranked set sampling Kullback-Leibler information Critical values Rayleigh distribution

Article Details

Author Biographies

Amer Al-Omari

Mathematics, Al al-Bayt University


Associate Prof. of Statistics

Ehsan Zamanzade

Department of Statistics, University of Isfahan, Isfahan 81746-73441, Iran
How to Cite
Al-Omari, A., & Zamanzade, E. (2016). Different goodness of fit tests for Rayleigh distribution in ranked set sampling. Pakistan Journal of Statistics and Operation Research, 12(1), 25-39.