Ha .. rdle and Stoker (1989), Powell, et al. (1989), and Stoker (1991) have developed average derivative estimators of the parameter in the singleindex model E(Y X=x) = G(x ), where G is an unknown function and X is a random vector. These estimators are non-iterative and, therefore, easy to compute. However, they require X to be continuously distributed, which precludes their use in many applic...

We present a fully automated framework to estimate derivatives nonparametrically without estimating the regression function. Derivative estimation plays an important role in the exploration of structures in curves (jump detection and discontinuities), comparison of regression curves, analysis of human growth data, etc. Hence, the study of estimating derivatives is equally important as regressio...

Local polynomial estimators are popular techniques for nonparametric regression estimation and have received great attention in the literature. Their simplest version, the local constant estimator, can be easily extended to the errors-in-variables context by exploiting its similarity with the deconvolution kernel density estimator. The generalization of the higher order versions of the estimato...

Local polynomial estimators are popular techniques for nonparametric regression estimation and have received great attention in the literature. Their simplest version, the local constant estimator, can be easily extended to the errors-in-variables context by exploiting its similarity with the deconvolution kernel density estimator. The generalization of the higher order versions of the estimato...

The problem of computing free energy differences due to isotopic substitution in chemical systems is discussed. The shift in the equilibrium properties of a system upon isotopic substitution is a purely quantum mechanical effect that can be quantified using the Feynman path integral approach. In this paper, we explore two developments that lead to a highly efficient path integral scheme. First,...

ABSTRAC'I In this paper, a new narrowband beamformer with derivative constraint is developed for wideband and coherent jammers suppression. The so-called IQML algorithm [6] used to estimate the uttaown directions of the jammers in signal-free environment is hown to be an inappropriate constraint estimator. In this paper, a new IQML algorithm with a norm constraint is a consistent estimator and ...

Abstract. A systematic approach is developed for the selection of the stabilization parameter for stabilized finite element approximation of the Stokes problem, whereby the parameter is chosen to minimize a computable upper bound for the error in the approximation. The approach is applied in the context of both a single fixed mesh and for an adaptive mesh refinement procedure. The optimization ...

Abstract The purpose of this paper is to estimate the intensity of a Poisson process N by using thresholding rules. In this paper, the intensity, defined as the derivative of the mean measure of N with respect to ndx where n is a fixed parameter, is assumed to be non-compactly supported. The estimator f̃n,γ based on random thresholds is proved to achieve the same performance as the oracle estima...

Abstract: The purpose of this paper is to estimate the intensity of a Poisson process N by using thresholding rules. In this paper, the intensity, defined as the derivative of the mean measure of N with respect to ndx where n is a fixed parameter, is assumed to be non-compactly supported. The estimator f̃n,γ based on random thresholds is proved to achieve the same performance as the oracle estim...