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Robust Bayes Estimation

Communications in Statistics - Theory and Methods, 2011
This article deals with robust Bayes estimation, namely Stable action, Conditional Gamma-Minimax action and Posterior Regret Gamma-Minimax action. We extend the results of Meczarski (1993) and obtain the exact actions in each case. The results are applied for a family of one-parameter exponential families introduced by Morris (1983) as an extension of ...
Abdollah Bayati Eshkaftaki   +1 more
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Hierarchical Bayes estimation

Bayesian Methods for Finite Population Sampling, 1997
M. Ghosh, G. Meeden
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Empirical Bayes estimation

Bayesian Methods for Finite Population Sampling, 1997
M. Ghosh, G. Meeden
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Joint Distribution Estimation and Naïve Bayes Classification Under Local Differential Privacy

IEEE Transactions on Emerging Topics in Computing, 2021
Naïve Bayes classifier (NBC) is a fundamental and widely-used data mining tool. To respond to the growing privacy concern, several privacy-preserving NBC schemes have been proposed recently.
Qiao Xue, Youwen Zhu, Jian Wang
semanticscholar   +1 more source

Bayes empirical Bayes estimation of a poisson mean

Statistics & Probability Letters, 1985
In the empirical Bayes (EB) decision problem consisting of squared error estimation of a Poisson mean, a prior distribution \(\Lambda\) is placed on the gamma family of prior distributions to produce Bayes EB estimators which are admissible. A subclass of such estimators is shown to be asymptotically optimal (a.o.).
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Bayes Linear Estimators

Technometrics, 1978
A class of linear estimators, called Bayes linear estimators, is developed by finding, among all linear estimators, ones which have least average total mean squared error, averaged over parameter points. Ridge, generalized ridge, restricted least squares, subset least squares, least squares, best, and generalized inverse linear estimators are all ...
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Bayes Estimates of Haplotype Effects

Genetic Epidemiology, 2001
We describe a Markov chain Monte Carlo implementation of a Bayesian approach to estimating associations of a trait with a large set of haplotypes recently introduced by Clayton and Jones [Am J Hum Genet 65:1161–9, 2000]. The model uses the length of the longest segment in common between any two haplotypes to define the prior correlation structure for ...
D C, Thomas, J L, Morrison, D G, Clayton
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Some Comments on “Bayes” Estimators

The American Statistician, 1973
(1973). Some Comments on “Bayes” Estimators. The American Statistician: Vol. 27, No. 1, pp. 12-14.
G. C. Tiao, G. E. P. Box
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Bayes type estimates

Journal of Soviet Mathematics, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonparametric Bayes Estimation

2011
For a long time there were a lot of unsuccessful efforts directed toward the solution of many nonparametric problems with the help of the Bayes approach. This can be explained mainly by difficulties a researcher encounter, when he attempts to find a suitable prior distribution, determined on a sample space. Such a distribution in nonparametric problems
Vladimir Savchuk, Chris P. Tsokos
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