Second-order accuracy of depth-based bootstrap confidence regions
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Publication:764478
DOI10.1016/J.JMVA.2011.08.016zbMath1236.62040OpenAlexW1985517957MaRDI QIDQ764478
Publication date: 13 March 2012
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2011.08.016
Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15) Nonparametric statistical resampling methods (62G09)
Related Items (4)
Confidence regions for the location of response surface optima: the R package OptimaRegion ⋮ Bootstrap confidence regions based on M-estimators under nonstandard conditions ⋮ Unnamed Item ⋮ Intrinsic Data Depth for Hermitian Positive Definite Matrices
Cites Work
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- On the Tukey depth of a continuous probability distribution
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- On the validity of the formal Edgeworth expansion
- Halfspace depth and regression depth characterize the empirical distribution
- Convergence of depth contours for multivariate datasets
- General notions of statistical depth function.
- Structural properties and convergence results for contours of sample statistical depth functions.
- The Tukey depth characterizes the atomic measure
- On the bootstrap and likelihood-based confidence regions
- Balanced Simultaneous Confidence Sets
- A Quality Index Based on Data Depth and Multivariate Rank Tests
- Refining Bootstrap Simultaneous Confidence Sets
- The bootstrap and Edgeworth expansion
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