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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....
Classical statistical theory ignores model selection in assessing estimation accuracy. Here we consider bootstrap methods for computing standard errors and con dence intervals that take model selecti...
This article is intended as an expositional overview of empirical Bayes modeling methodology, presented in a simpli ed framework that reduces technical diculties. The two principal empirical Bayes ...
We consider large-scale studies in which there are hundreds or thousands of correlated cases to investigate, each represented by its own normal variate, typically a z-value. A familiar example is pro...
We introduce a new notion of classification accuracy based on the top tau-quantile values of a scoring function, a relevant criterion in a number of problems arising for search engines. We de...
This paper will investigate the numerical accuracy and efficiency in computing the electrostatic potential for a finite-height cylinder, used in an explicit/implicit hy-brid solvation model for ion c...
Typical cohorts in brain imaging studies are not large enough for systematic testing of all the information contained in the images. To build testable working hypotheses, investigators thus rely on an...
We investigate conservative properties of Runge-Kutta methods for Hamiltonian PDEs. It is shown that multi-symplecitic Runge-Kutta meth- ods preserve precisely norm square conservation law. Based on...
Abstract: Let $epsilon\in\R^{M\times M}$ be a centered Gaussian matrix whose entries are independent with variance $\sigma^2$. The accuracy of reduced-rank projections of $X=C+epsilon$ with a determin...
Abstract: The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we prop...
We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems — the stability of a Lomer dislocation pair under shear and the stability of a lattic...
Advancement in astronomical observations and technical instrumentation requires coding light propagation at high level of precision; this could open a new detection window of many subtle relativistic...
The Wyner model has been widely used to model and analyze cellular networks due to its simplicity and analytical tractability. Its key aspects include fixed user locations and the deterministic and ho...
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...
A procedure is suggested for testing the resolution and comparing the relative accuracy of numerical schemes for integration of the incompressible Euler equations.

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