Sampling Information for Generalized Rayleigh Distribution with Application to Parameter Estimation

Bingliang Shen; Wangxue Chen; Yawen ZhouCuihong Deng

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Sampling Information for Generalized Rayleigh Distribution with Application to Parameter Estimation

机译：Sampling Information for Generalized Rayleigh Distribution with Application to Parameter Estimation

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摘要

In the current paper, we considered the Fisher information matrix from generalized Rayleigh distribution (GR) distribution in moving extremes ranked set sampling (MERSS). The numerical results show that the ranked set sample carry more information about λ and α than a simple random sample of equivalent size. In order to give more insight into the performance of MERSS 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 MERSS are studied. The numerical results show that the modified unbiased estimator and the modified BLUE of λ and α in MERSS are significantly more efficient than the ones in SRS.

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来源
《Iranian Journal of Science》 |2023年第2期|515-529|共15页
作者
Bingliang Shen; Wangxue Chen; Yawen ZhouCuihong Deng;
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作者单位

Department of Mathematics and Statistics, Jishou University, Jishou 416000, China;

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正文语种英语
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关键词
Moving extremes ranked set sample; Fisher information number; Best linear unbiased estimator;

Sampling Information for Generalized Rayleigh Distribution with Application to Parameter Estimation

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