Minimax rates over Besov spaces in ill-conditioned mixture-models with varying mixing-weights

DOI10.1016/J.JSPI.2013.09.008zbMath1279.62029OpenAlexW2004784348MaRDI QIDQ393576

Florent Autin, Christophe Pouet

Publication date: 23 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2013.09.008

zbMATH Keywords

wavelet decompositionnonparametric testsminimax theorymixture-models

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Minimax procedures in statistical decision theory (62C20)

Related Items (3)

Asymptotic normality of Kaplan–Meier estimators for mixtures with varying concentrations ⋮ A modified Kaplan–Meier estimator for a model of mixtures with varying concentrations ⋮ Tests of hypotheses on quantiles of distributions of components in a mixture

Cites Work

• Adaptive test on components of densities mixture
• Adaptive hypothesis testing using wavelets
• Empirical likelihood ratio based confidence intervals for mixture proportions
• Asymptotic theory of the likelihood ratio test for the identification of a mixture
• Estimates for distributions of components of mixtures with varying concentrations
• Testing the means of subgroups in the varying mixing weight model
• Nonparametric homogeneity tests
• Statistics of mixtures with varying concentrations with application to DNA microarray data analysis
• Test on components of mixture densities
• Finite mixture models
• Likelihood ratio test for univariate Gaussian mixture
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