Qualitative robustness in abstract inference

DOI10.1016/0378-3758(88)90105-XzbMath0658.62046OpenAlexW2095346867MaRDI QIDQ1111281

Antonio Cuevas

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0378-3758(88)90105-x

zbMATH Keywords

density estimationBayesian robustnessmultivariate density estimationabstract inferenceestimation of the mean function of stochastic processes with continuous trajectoriesgeneralized parametersHampel's concept of qualitative robustness

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Non-Markovian processes: estimation (62M09) Bayesian inference (62F15) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (15)

Domains of weak continuity of statistical functionals with a view toward robust statistics ⋮ On the robustness of regularized pairwise learning methods based on kernels ⋮ Qualitative Robustness in Bayesian Inference ⋮ On qualitative robustness of the Lotka-Nagaev estimator for the offspring mean of a supercritical Galton-Watson process ⋮ A definition of qualitative robustness for general point estimators, and examples ⋮ Note on qualitative robustness of multivariate sample mean and median ⋮ Qualitative and infinitesimal robustness of tail-dependent statistical functionals ⋮ Qualitative robustness of von Mises statistics based on strongly mixing data ⋮ Comparative and qualitative robustness for law-invariant risk measures ⋮ Qualitative robustness of estimators on stochastic processes ⋮ On qualitative robustness of support vector machines ⋮ Qualitative robustness of statistical functionals under strong mixing ⋮ On the Brittleness of Bayesian Inference ⋮ Robustez cualitativa en regiones de confianza ⋮ On robustness properties of bootstrap approximations

Cites Work

• The equivalence of weak, strong, and complete convergence in \(L_ 1\) for kernel density estimates
• Bootstrap methods: another look at the jackknife
• A General Qualitative Definition of Robustness
• A Useful Convergence Theorem for Probability Distributions
• Robust Statistics
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