Admissible predictive density estimation
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Publication:930650
DOI10.1214/07-AOS506zbMath1216.62012arXiv0806.2914OpenAlexW2131002462MaRDI QIDQ930650
Lawrence D. Brown, Xinyi Xu, Edward I. George
Publication date: 1 July 2008
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.2914
Bayesian problems; characterization of Bayes procedures (62C10) Admissibility in statistical decision theory (62C15) Complete class results in statistical decision theory (62C07)
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Cites Work
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- Deriving posterior distributions for a location parameter: A decision theoretic approach
- Evaluation of formal posterior distributions via Markov chain arguments
- Statistical decision theory and Bayesian analysis. 2nd ed
- Estimation of the mean of a multivariate normal distribution
- A statistical diptych: Admissible inferences -- recurrence of symmetric Markov chains
- Improved minimax predictive densities under Kullback-Leibler loss
- A shrinkage predictive distribution for multivariate Normal observables
- Exact Minimax Strategies for Predictive Density Estimation, Data Compression, and Model Selection
- On the estimation of parametric density functions
- Goodness of prediction fit
- A Note on the Estimation of Probability Density Functions
- Proper Bayes Minimax Estimators of the Multivariate Normal Mean
- Admissible Estimators, Recurrent Diffusions, and Insoluble Boundary Value Problems