U-Statistics and imperfect ranking in ranked set sampling

DOI10.1080/10485259908832756zbMath0921.62062OpenAlexW1969294921MaRDI QIDQ4248696

Lora L. Bohn, Presnell, Brett

Publication date: 5 October 1999

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259908832756

zbMATH Keywords

asymptotic efficiencyU-statisticsmajorizationranked set samplejudgement ranking

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items (30)

General Ranked Set Sampling with Cost Considerations ⋮ Robust joint estimation of location and scale parameters in ranked set samples ⋮ A Note on Fisher Information and Imperfect Ranked-Set Sampling ⋮ Homogeneity test based on ranked set samples ⋮ New imperfect rankings models for ranked set sampling ⋮ Smooth estimation of a reliability function in ranked set sampling ⋮ Perfect ranking test in moving extreme ranked set sampling ⋮ Two-layer ranked set sampling with concomitant variables ⋮ A ranked-based estimator of the mean past lifetime with an application ⋮ Ranked set sampling: its relevance and impact on statistical inference ⋮ Unnamed Item ⋮ The unbalanced ranked-set sample sign test ⋮ Estimation of mean residual life based on ranked set sampling ⋮ On estimating the distribution function and odds using ranked set sampling ⋮ Efficiency of ranked set sampling in entropy estimation and goodness-of-fit testing for the inverse Gaussian law ⋮ Maximum likelihood estimation of dependence parameter using ranked set sampling ⋮ Optimal sign tests for data from ranked set samples ⋮ The efficiency of ranked set sampling for parameter estimation ⋮ Ranked set sampling: an approach to more efficient data collection ⋮ Interval estimation of \(P(X<Y)\) in ranked set sampling ⋮ The global minimum variance unbiased estimator of the parameter for a truncated parameter family under the optimal ranked set sampling ⋮ Efficiency bounds for a generalization of ranked-set sampling ⋮ Ranked Set Sampling for Replicated Sampling Designs ⋮ Prediction intervals for characteristics of future normal sample under moving ranked set sampling ⋮ Inference on a distribution function from ranked set samples ⋮ Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample ⋮ Bootstrap methods for judgment post stratification ⋮ A robust estimate of the correlation coefficient for bivariate normal distribution using ranked set sampling ⋮ Ranked set sample inference under a symmetry restriction ⋮ Symmetric smoothed bootstrap methods for ranked set samples

Cites Work

• Stratified random sampling; gain in precision due to stratification in the case of proportional allocation
• On the inadmissibility of empirical averages as estimators in ranked set sampling
• The ranked-set sample sign test
• Ranked Set Sampling Theory with Order Statistics Background
• Characterization of a Ranked-Set Sample with Application to Estimating Distribution Functions
• Estimation of Variance Using Judgment Ordered Ranked Set Samples
• Nonparametric Two-Sample Procedures for Ranked-Set Samples Data
• A ranked-set sample signed-rank statistic
• The Effect of Imperfect Judgment Rankings on Properties of Procedures Based on the Ranked-Set Samples Analog of the Mann-Whitney-Wilcoxon Statistic
• Inequalities: theory of majorization and its applications

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