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Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
ADAPTIVE SPLINE ESTIMATES FOR NONPARAMETRIC REGRESSION MODELS
ADAPTIVE SPLINE ESTIMATES NONPARAMETRIC REGRESSION MODELS
2015/8/25
ADAPTIVE SPLINE ESTIMATES FOR NONPARAMETRIC REGRESSION MODELS.
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...
In the absence of relevant prior experience, popular Bayesian estimation techniques usually
begin with some form of \uninformative" prior distribution intended to have minimal inferential
in
uence....
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....
Maximum-Likelihood Non-Decreasing Response Estimates
maximum likelihood unimodal PDF families non-decreasing response estimates
2011/8/25
Abstract: Let $x_{i,j}$, $1 \le i \le m$, $1 \le j \le n_i$, be observations from a doubly-indexed sequence $\{X_{i,j}\}$ of independent random variables (all of them discrete, or all of them absolute...
Large-scale interval and point estimates from an empirical Bayes extension of confidence posteriors
Large-scale interval point estimates empirical Bayes
2011/1/4
The proposed approach extends the confidence posterior distribution to the semi-parametric empirical Bayes setting. Whereas the Bayesian posterior is defined in terms of a prior distribution condition...
$\lambda$-Central BMO Estimates for Commutators of $N$-Dimensional Hardy Operators
Commutator $N$-dimensional Hardy operator $lambda$-central BMO space Central Morrey space
2010/1/25
This paper gives the -central BMO estimates for commutators of -dimensional Hardy operators on central Morrey spaces.