Abstract
In the current paper, we considered the Fisher information matrix from the generalized Rayleigh distribution (GR) distribution in ranked set sampling (RSS). The numerical results show that the ranked set sample carries more information about λ and α than a simple random sample of equivalent size. In order to give more insight into the performance of RSS with respect to (w.r.t.) simple random sampling (SRS), a modified unbiased estimator and a modified best linear unbiased estimator (BLUE) of scale and shape λ and α from GR distribution in SRS and RSS are studied. The numerical results show that the modified unbiased estimator and the modified BLUE of λ and α in RSS are significantly more efficient than the ones in SRS.
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Supported by National Science Foundation of China(11901236, 12261036), Scientific Research Fund of Hunan Provincial Education Department(21A0328), Provincial Natural Science Foundation of Hunan (2022JJ30469), Young Core Teacher Foundation of Hunan Province([2020]43) and Jishou University Laboratory Program(JDDL2017001, JDLF2021024).
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Shen, Bl., Wang, S., Chen, Wx. et al. Fisher information for generalized Rayleigh distribution in ranked set sampling design with application to parameter estimation. Appl. Math. J. Chin. Univ. 37, 615–630 (2022). https://doi.org/10.1007/s11766-022-4450-5
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DOI: https://doi.org/10.1007/s11766-022-4450-5