Cost effective sampling will be an important research problem in some experiments especially when the measurement of the characteristic of interest is costly or painful. Ranked set sampling (RSS) is now regarded as an effective tool in statistical inference. In this article, unbiased estimator, best linear unbiased estimator (BLUE), maximum likelihood estimator (MLE) and modified MLE of the parameter of Rayleigh distribution will be respectively studied under simple random sampling (SRS) and RSS. The numerical results show that these estimators under RSS are significantly more efficient than the ones under SRS.}
SHEN Bingliang, CHEN Wangxue, DONG Yanfei.
Parametric Estimator of Rayleigh Distribution under Ranked Set Sampling. Journal of Systems Science and Mathematical Sciences, 2021, 41(3): 854-864 https://doi.org/10.12341/jssms20243