Uniform \(L_{1}\) posterior consistency in compact Gaussian shift experiments
DOI10.1016/j.jspi.2006.05.011zbMath1120.62005OpenAlexW2013512928MaRDI QIDQ2455694
Publication date: 26 October 2007
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.2006.05.011
posteriormixtureweak convergenceconsistencypriortopological supportisonormal processhyperpriorGC subsetproduct experiment
Asymptotic properties of parametric estimators (62F12) Theory of statistical experiments (62B15) Central limit and other weak theorems (60F05) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10) Applications of functional analysis in probability theory and statistics (46N30) Compound decision problems in statistical decision theory (62C25)
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- On equivariance and the compound decision problem
- On the consistency of Bayes estimates
- On inconsistent Bayes estimates of location
- Asymptotic methods in statistical decision theory
- On the consistency of posterior mixtures and its applications
- Asymptotic optimality of Bayes compound estimators in compact exponential families
- Estimation in semiparametric models. Some recent developments
- Asymptotics in statistics: some basic concepts
- On topological support of Dirichlet prior
- Asymptotic solutions to the two state component compoud decision problem, Bayes versus diffuse priors on proportions
- Bounds for robust maximum likelihood and posterior consistency in compound mixture state experiments
- Bayes compound and empirical Bayes estimation of the mean of a Gaussian distribution on a Hilbert space
- On the uniform consistency of Bayes estimates for multinomial probabilities
- Consistency of posterior mixtures in the Gaussian family on a Hilbert space and its applications
- Asymptotically optimal and admissible decision rules in compound compact Gaussian shift experiments
- On convergence of random linear functionals
- The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
- A Bayesian analysis of some nonparametric problems
- Real Analysis and Probability
- Bayesian Estimation of Mixing Distributions
- Bayes Estimation of the Mixing Distribution, The Discrete Case
