Adaptive goodness-of-fit testing from indirect observations

DOI10.1214/08-AIHP166zbMath1168.62040MaRDI QIDQ838320

Cristina Butucea, Christophe Pouet, Catherine Matias

Publication date: 24 August 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78026

zbMATH Keywords

stable lawsgoodness-of-fit testsinfinitely differentiable functionsSobolev classesconvolution modeladaptive nonparametric testspartially known noisequadratic functional estimation

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Inequalities; stochastic orderings (60E15) Nonparametric estimation (62G05)

Related Items (10)

Sharp minimax tests for large covariance matrices and adaptation ⋮ Testing inverse problems: a direct or an indirect problem? ⋮ A unified treatment for non-asymptotic and asymptotic approaches to minimax signal detection ⋮ Minimax testing of a composite null hypothesis defined via a quadratic functional in the model of regression ⋮ Adaptivity in convolution models with partially known noise distribution ⋮ Goodness-of-fit test for noisy directional data ⋮ Adaptive minimax testing for circular convolution ⋮ Goodness-of-fit testing strategies from indirect observations ⋮ Supersmooth testing on the sphere over analytic classes ⋮ Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems

Cites Work

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• Adaptivity in convolution models with partially known noise distribution
• Goodness-of-fit testing and quadratic functional estimation from indirect observations
• Adaptive goodness-of-fit tests in a density model
• Adaptive minimax testing in the discrete regression scheme

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