Testing un-separated hypotheses by estimating a distance

DOI10.1214/17-BA1059zbMath1407.62154arXiv1303.6466OpenAlexW3100244213MaRDI QIDQ1631558

Jean-Bernard Salomond

Publication date: 6 December 2018

Published in: Bayesian Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6466

zbMATH Keywords

monotonicityhypothesis testinggoodness-of-fitBayesian inferencenonparametric inferenceasymptotic properties of tests

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15)

Related Items (3)

Rates and coverage for monotone densities using projection-posterior ⋮ Coverage of credible intervals in nonparametric monotone regression ⋮ Convergence rates for Bayesian estimation and testing in monotone regression

Cites Work

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• Uniformly most powerful Bayesian tests
• Asymptotic Bayes-optimality under sparsity of some multiple testing procedures
• Rates of convergence for the posterior distributions of mixtures of betas and adaptive nonparametric estimation of the density
• A Bernstein-von Mises theorem for smooth functionals in semiparametric models
• Asymptotic properties of Bayes risk for the horseshoe prior
• Convergence rates of posterior distributions for non iid observations
• Minimax nonparametric hypothesis testing: The case of an inhomogeneous alternative
• A note on the consistency of Bayes factors for testing point null versus nonparametric alternatives.
• Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point
• Testing precise hypotheses. With comments and a rejoinder by the authors
• Unified frequentist and Bayesian testing of a precise hypothesis. With comments by Dennis V. Lindley, Thomas A. Louis and David Hinkley and a rejoinder by the authors
• Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function
• Bayesian goodness-of-fit testing using infinite-dimensional exponential families
• Convergence rates of posterior distributions.
• Testing monotonicity of regression.
• On nonparametric tests of positivity/monotonicity/convexity
• Nonparametric goodness-of-fit testing under Gaussian models
• Testing monotonicity via local least concave majorants
• Objections to Bayesian statistics
• Bayesian isotonic density regression
• Bayesian nonparametric inference on stochastic ordering
• Nonparametric Bayesian testing for monotonicity
• The horseshoe estimator for sparse signals
• Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence
• Adaptive tests of qualitative hypotheses
• On the use of Non-Local Prior Densities in Bayesian Hypothesis Tests
• Catching up Faster by Switching Sooner: A Predictive Approach to Adaptive Estimation with an Application to the AIC–BIC Dilemma
• The Bayesian Choice

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