Smallest nonparametric tolerance regions.
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Publication:1848908
DOI10.1214/aos/1013203456zbMath1043.62045OpenAlexW2153472177MaRDI QIDQ1848908
John H. J. Einmahl, Alessandro Di Bucchianico, Nino A. Mushkudiani
Publication date: 14 November 2002
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1013203456
Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30)
Related Items (17)
Cube root weak convergence of empirical estimators of a density level set ⋮ Confidence estimation for tolerance intervals ⋮ Conditional predictive inference for stable algorithms ⋮ An approach for specifying trimming and winsorization cutoffs ⋮ Approximate tolerance intervals for nonparametric regression models ⋮ Multivariate spacings based on data depth. I: Construction of nonparametric multivariate tolerance regions ⋮ Shorter nonparametric prediction intervals for an order statistic from a future sample ⋮ Validation of tolerance interval ⋮ Parametric versus nonparametric tolerance regions in detection problems ⋮ Distribution-Free Prediction Sets ⋮ On multivariate quantiles under partial orders ⋮ Data-driven nonparametric tolerance sets ⋮ Applications of hyperellipsoidal prediction regions ⋮ Small nonparametric tolerance regions for directional data ⋮ Frontier estimation in nonparametric location-scale models ⋮ Prediction intervals for regression models ⋮ Generalized quantile processes based on multivariate depth functions, with applications in nonparametric multivariate analysis.
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