A characterization of the neighborhoods defined by certain special capacities and their applications to bias-robustness of estimates.

DOI10.1016/S0378-3758(02)00183-0zbMath1039.62002MaRDI QIDQ1400121

Miyoshi Kimura, Masakazu Ando

Publication date: 13 August 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

DiscrepancyMedianMinimax biasBias-robustnessCharacterization of neighborhoodsImplosion biasLocation estimatelower bounds for maximum biasRieder's neighborhoodScale estimateSpecial capacityVariation gauge

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Point estimation (62F10) Robustness and adaptive procedures (parametric inference) (62F35) Foundations and philosophical topics in statistics (62A01) Contents, measures, outer measures, capacities (28A12) Characterization and structure theory of statistical distributions (62E10)

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The maximum asymptotic bias of S-estimates for regression over the neighborhoods defined by certain special capacities ⋮ Robust nonparametric confidence intervals and tests for the median in the presence of \((c,\gamma )\)-contamination

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