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When the worst case integration error in a family of functions decays as nfor some > 1 and simple averages along an extensible sequence match that rate at a set of sample sizes n1 < n2 <    < 1...
The usual approach to computing empirical likelihood for the mean uses Newton's method after eliminating a Lagrange multiplier and replacing the function- log(x) by a quadratic Taylor approximation t...
Density estimation is a commonly used test case for non-parametric estimation methods. We explore the asymptotic properties of estimators based on thresholding of empirical wavelet coecients. Minim...
We study the problem of estimating  from data Y  N(; 2 ) under squared-error loss. We de ne three new scalar minimax problems in which the risk is weighted by the size of . Simple thresholding...
Considerable e ort has been directed recently to develop asymptotically minimax methods in problems of recovering in nite-dimensional ob jects (curves, densities, spectral densities, images) from nois...
Since Stein’s original proposal in 1962, a series of papers have constructed confidence regions of smaller volume than the standard spheres for the mean vector of a multivariate normal distribu...
We suppose that the statistician observes some large number of estimates zi , each with its own unobserved expectation parameter i . The largest few of the zi 's are likely to substantially over...
A test of homogeneity tries to decide whether observations come from a single distribution or from a mixture of several distributions. A powerful theory has been developed for the case where the comp...
We also study a condition under which the coefficient paths of the lasso are monotone, and hence the different algorithms coincide. Finally, we compare the lasso and forward stagewise pro...
In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then ge...
Bruguieres, Lack and Virelizier have recently obtained a vast generalization of Sweedler's Fundamental Theorem of Hopf modules, in which the role of the Hopf algebra is played by a bimonad. We pres...
In this paper we carefully study the analysis involved with Volterra series. We address system-theoretic issues ranging from bounds on the gain and incremental gain of Volterra series operators to the...
The focus of this NSF-supported combined research and curriculum development (CRCD) project is convex optimization applied to engineering analysis and design. The basic idea is that many analysis and ...
We present a new method for the solution of the unsteady incompressible Navier-Stokes equations. Our goal is to achieve a robust and scalable methodology for two and three dimensional incompressible f...
It is the Deligne-Mumford compacti cation of the moduli space Mg;n of smooth n-pointed genus g curves. It has n natural line bundles Li (roughly, the cotangent space to the ith marked point) and a n...

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