Balanced and Unbalanced Ranked Set Sampling

Latpate, Raosaheb; Kshirsagar, Jayant; Gupta, Vinod Kumar; Chandra, Girish

doi:10.1007/978-981-16-0622-9_19

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…However, RSS performance can be improved with proper unequal allocation. The resulting sampling method is called unbalanced RSS (URSS) or RSS with unequal allocation 69 . While in the BRSS, each order statistic is displayed in the same number, in the URSS, the judgment statistic is displayed unequally in the sample.…”

Section: Ranked Set Samplingmentioning

confidence: 99%

“…The resulting sampling method is called unbalanced RSS (URSS) or RSS with unequal allocation. 69 While in the BRSS, each order statistic is displayed in the same number, in the URSS, the judgment statistic is displayed unequally in the sample. The selection of the set size is still important for setting the URSS, but the concept of a cycle is no longer necessary, as the number of measurements need not be the same for each judgment statistic.…”

Section: Ranked Set Samplingmentioning

confidence: 99%

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A review of ranked set sampling and modified methods in designing control charts

Mohammadkhani

Amiri

Khoo

2023

Quality & Reliability Eng

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Statistical process monitoring (SPM) and designing control charts include measuring quality characteristics by considering the time and cost constraints. Ranked set sampling (RSS) is a very efficient and an inexpensive approach in obtaining a more representative sample when the actual measurement of the sampling units is too expensive or destructive, where it is easier to rank the observations. Since 1997, when the first paper on designing control charts based on the RSS scheme was presented, a significant number of papers have been published in this area. This paper provides a literature review on using the RSS schemes in designing control charts. Relevant papers are classified and analyzed to identify the research gaps and provide recommendations and directions for future studies.

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Section: Ranked Set Samplingmentioning

confidence: 99%

Section: Ranked Set Samplingmentioning

confidence: 99%

A review of ranked set sampling and modified methods in designing control charts

Mohammadkhani

Amiri

Khoo

2023

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…A study was conducted in which the ratio estimators were developed and compared in two different designs (simple RSS & Extreme RSS) 6 . The scheme of RSS received great attention of researchers, a recent study was published on balanced and unbalanced RSS 7 . The comprehensive work related to non parametric RSS is also available 8,9 .…”

Section: Estimation Of Population Variance Under Ranked Set Sampling ...mentioning

confidence: 99%

Estimation of population variance under ranked set sampling method by using the ratio of supplementary information with study variable

Alam

Hanif

Shahbaz³

et al. 2022

Sci Rep

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In biological and medical research, the cost and collateral damage caused during the collection and measurement of a sample are the reasons behind a compromise on the inference with a fixed and accepted approximation error. The ranked set sampling (RSS) performs better in such scenarios, and the use of auxiliary information even enhances the performance of the estimators. In this study, two generalized classes of estimators are proposed to estimate the population variance using RSS and information of auxiliary variable. The bias and mean square errors of the proposed classes of estimators are derived up to first order of approximation. Some special cases of one of the proposed class of estimators are also considered in the presence of available population parameters. A simulation study was conducted to see the performance of the members of the proposed family by using various sample sizes. The real-life data application is done to estimate the variance of gestational age of fetuses with supplementary information. The results showed that RSS design is a more accurate method than simple random sampling, to determine the population variance of hard-to-measure or destructive sampling units.

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Balanced and Unbalanced Ranked Set Sampling

Cited by 2 publications

References 31 publications

A review of ranked set sampling and modified methods in designing control charts

A review of ranked set sampling and modified methods in designing control charts

Estimation of population variance under ranked set sampling method by using the ratio of supplementary information with study variable

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