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NEEDLES AND STRAW IN HAYSTACKS: EMPIRICAL BAYES ESTIMATES OF POSSIBLY SPARSE SEQUENCES
HAYSTACKS NEEDLES AND STRAW
2015/8/20
An empirical Bayes approach to the estimation of possibly sparse
sequences observed in Gaussian white noise is set out and investigated. The
prior considered is a mixture of an atom of probability a...
Empirical Bayes Estimates for Large-Scale Prediction Problems
microarray prediction empirical Bayes shrunken centroids
2015/8/20
Classical prediction methods such as Fisher's linear discriminant function were designed for
small-scale problems, where the number of predictors N is much smaller than the number of
observations n....
ON INCONSISTENT BAYES ESTIMATES IN THE DISCRETE CASE
Probability distribution integer mixture dirichlet
2015/7/14
Consider sampling from an unknown probability distribution on the
integers. With a tail-free prior, the posterior distribution is consistent. With
a mixture of a tail-free prior and a point mass, ...
We discuss frequent! properties of Ba~es rules, pa~ing special attention
to consistency. Some new and fairly natural counterexamples are given,
involving nonparametric estimates of location. E\ren...
ON INCONSISTENT BAYES ESTIMATES OF LOCATION。
ON THE UNIFORM CONSISTENCY OF BAYES ESTIMATES FOR MULTINOMIAL PROBABILITIES
Bayesian the probability of polynomial the uniform consistency
2015/7/14
ON THE UNIFORM CONSISTENCY OF BAYES ESTIMATES FOR MULTINOMIAL PROBABILITIES.
Consistency of Bayes Estimates for Nonparametric Regression: Normal Theory
Consistency Bayes estimates model selection binary regression
2015/7/14
Performance characteristics of Bayes estimates are studied. More exactly, for each subject in a data
set, let 5 be a vector of binary covariates and let Y be a normal response variable, with
E{YIE...