Optimal sign test for quantiles in ranked set samples

Dong, Xianjun; Cui, Lirong

doi:10.1016/j.jspi.2010.05.005

Cited by 11 publications

(1 citation statement)

References 21 publications

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“…3. Dong and Cui (2010) considered the RSS sign test for population quantiles and showed that the sampling allocation that maximizes the efficacy is to select observations with one fixed rank from different ranked sets, and they found that the optimal allocation depends on the quantile under test but not on the parent population. This motivates us to present a sampling protocol namely quantile ranked set samples (QRSS) for reliable life estimation.…”

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confidence: 99%

A Further Study on Reliable Life Estimation under Ranked Set Sampling

Dong

Cui

Liu

2012

Communications in Statistics - Theory and Methods

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This article considers nonparametric estimation of reliable life based on ranked set sampling and its properties. It is proven analytically that the large sample efficiency of the reliable life estimator under the balanced ranked set sampling is higher than that under the simple random sampling of the same size, but the relative efficiency damps away as the reliable life moves away from the median on both directions. To improve the efficiency for the estimation of extreme reliable life, we then propose a reliable life estimator under a modified ranked set sampling protocol, its strong consistency and asymptotic normality are established. The proposed sampling is shown to be superior to the balanced ranked set sampling, and the relative advantage improves as the reliable life moves away from median. Finally, results of simulation studies for small sample as well as an application to a real data set are presented to illustrate some of the theoretical findings.

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Section: Downloaded By [Newcastle University] At 18:40 20 December 2014mentioning

confidence: 99%