Open AccessJournal Article
Quantile estimation from ranked set sampling data
Min Zhu,You-Gan Wang +1 more
11
TL;DR: In this article, a new estimator is proposed and is shown to have a smaller asymptotic variance for all distributions, and it is also shown that the optimal sampling strategy is to select observations with one fixed rank from different ranked sets.
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Abstract: We consider estimation of quantiles when data are generated from ranked set sampling. A new estimator is proposed and is shown to have a smaller asymptotic variance for all distributions. It is also shown that the optimal sampling strategy is to select observations with one fixed rank from different ranked sets. Both the optimal rank and the relative efficiency gain with respect to simple random sampling are distribution-free and depend on the set size and the given probability only. In the case of median estimation, it is analytically shown that the optimal design is to select the median from each ranked set.
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Citations
Efficient designs for sampling and subsampling in fisheries research based on ranked sets
TL;DR: In this article, a ranked set sampling (RSS) based sampling strategy was developed to increase efficiency and reduce the cost of sampling in fishery research by incorporating information on concomitant variables that are correlated with the variable of interest in the selection of samples.
Algorithmic Inference of Two-Parameter Gamma Distribution
Bruno Apolloni,Simone Bassis +1 more
TL;DR: An estimation procedure of the two-parameter Gamma distribution based on the Algorithmic Inference approach is provided and a numerical algorithm which is often beneficial of a highly efficient speed up based on an approximate analytical expression of the probability distribution is proposed.
•Journal Article
General ranked set sampling with cost considerations
TL;DR: By taking two or more observations from one set even with the optimal set size from the RSS design can be more beneficial, which is shown to be more cost-effective in some cases when the cost of ranking is not so small.
22
Constrained nonparametric estimation of the mean and the CDF using ranked-set sampling with a covariate
TL;DR: In this article, it was shown that if the rankings are done according to a covariate, then tighter constraints must hold for the in-stratum cumulative distribution functions (CDFs).
Shrinkage estimation in replicated median ranked set sampling
TL;DR: In this article, the median ranked set sampling estimation and test of hypothesis for the mean for symmetric distributions are considered and some alternative estimation strategies for parameters based on shrinkage and pretest principles are proposed.
6
References
Ranked Set Sampling Theory with Order Statistics Background
T. R. Dell,J. L. Clutter +1 more
TL;DR: In this article, the authors reviewed the importance of errors in judgment ordering in the ranked set sampling method and compared it to random sampling and the average of the mean of a set of elements.
727
Characterization of a Ranked-Set Sample with Application to Estimating Distribution Functions
S. Lynne Stokes,Thomas W. Sager +1 more
TL;DR: In this paper, it was shown that the empirical distribution function of a ranked-set sample is unbiased and has greater precision than that from a random sample, and the null distribution of a Kolmogorov-Smirnov statistic was derived for the case in which perfect ranking is possible.
289
Regression estimator in ranked set sampling
Philip L. H. Yu,Kin Lam +1 more
TL;DR: Regression-type RSS estimators of the populationmean of Y will be proposed by utilizing this concomitant variable X in both the ranking process of the units and the estimation process when the population mean of X is known.
113
On ranked-set sample quantiles and their applications
TL;DR: In this article, the properties of the sample quantiles of ranked-set samples are dealt with and the efficiency of these procedures relative to their counterpart in simple random sampling is investigated.
75
Two-sample inference based on one-sample ranked set sample sign statistics
TL;DR: In this paper, a two-sample sign test is developed for ranked set samples, and it is shown that the test procedure is distribution free but requires evaluation of the incomplete beta function, in general, depend on the measured observations and the ratio of cycle sizes.
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