Characterization of a Ranked-Set Sample with Application to Estimating Distribution Functions

Stokes, S. Lynne; Sager, Thomas W.

doi:10.2307/2288852

Cited by 66 publications

(32 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These procedures are usually not optimal under perfect ranking, but continue to provide valid inference under imperfect ranking. Some selected publications in this category are Stokes and Sager (1988), Stokes (1980), MacEachern et al (2002, Fligner and MacEachern (2006) and Wang et al (2006).…”

Section: Introductionmentioning

confidence: 99%

Sampling from partially rank-ordered sets

Öztürk

2010

Environ Ecol Stat

View full text Add to dashboard Cite

In this paper we introduce a new sampling design. The proposed design is similar to a ranked set sampling (RSS) design with a clear difference that rankers are allowed to declare any two or more units are tied in ranks whenever the units can not be ranked with high confidence. These units are replaced in judgment subsets. The fully measured units are then selected from these partially ordered judgment subsets. Based on this sampling scheme, we develop unbiased estimators for the population mean and variance. We show that the proposed sampling procedure has some advantages over standard ranked set sampling.

show abstract

Section: Introductionmentioning

confidence: 99%

Sampling from partially rank-ordered sets

Öztürk

2010

Environ Ecol Stat

View full text Add to dashboard Cite

show abstract

“…Since then, numerous parametric and nonparametric inferential procedures based on ranked set samples have been developed in the literature. The reader is referred to, among others, Takahasi and Wakimoto (1968), Dell and Clutter (1972), Stokes (1977Stokes ( , 1980aStokes ( ,b, 1995, Chuiv and Sinha (1998), Stokes and Sager (1988), and Chen (1999and Chen ( , 2000a. For a comprehensive review of various developments on ranked set sampling, we refer the reader to Patil et al (1999) and the monograph by Chen et al (2004).…”

Section: Introductionmentioning

confidence: 99%

Confidence Intervals for Quantiles and Tolerance Intervals Based on Ordered Ranked Set Samples

Balakrishnan

2006

AISM

View full text Add to dashboard Cite

show abstract

“…These problems include parametric point estimation (Stokes 1995), nonparametric estimation of the cumulative distribution function (CDF) (Stokes and Sager 1988), testing for a difference in location between two distributions (Fligner and MacEachern 2006), nonparametric estimation of the population variance (MacEachern et al 2002), and best linear unbiased estimation (Barnett and Moore 1997). However, one must use the RSS sampling approach described above in order to realize the benefits.…”

mentioning

confidence: 99%