Weighted local polynomial estimations of a non-parametric function with censoring indicators missing at random and their applications

In this paper, we consider the weighted local polynomial calibration estimation and imputation estimation of a non-parametric function when the data are right censored and the censoring indicators are missing at random, and establish the asymptotic normality of these estimators. As their applications, we derive the weighted local linear calibration estimators and imputation estimations of the conditional distribution function, the conditional density function and the conditional quantile function, and investigate the asymptotic normality of these estimators. Finally, the simulation studies are conducted to illustrate the finite sample performance of the estimators.     

Multivariate quadrature rules on crosslet sparse grids

Numerical Algorithms - We introduce a new configuration of node sets: crosslet grids for high-dimensional numerical integration, and develop symmetric quadrature rules on the unit cube of the...     

Schémas en groupe et modules filtrés

Let k be a perfect field of characteristic p > 0. When p ≥ 3, Fontaine has classified p-divisible groups and finite flat commutative p-groups over the Witt vectors W(k) in terms of filtered modules ([9]+[6],[7]). Still assuming p ≥ 3, we extend these classifications over an arbitrary complete discrete valuation ring of unequal characteristic and residue field k by using “generalized” filtered modules. In particular, there is no restriction on the ramification index.     

一种2型三角剖分上多元样条拟插值的精度提高策略

给定一个多元拟插值算子, 若其具有单位分解性质 (再生0次多项式), 我们提出一种利用其周围节点提高多项式再生性的方法. 所得算子不仅具有更高的逼近精度, 还不需要目标函数的任何导数信息. 然后利用此方法, 我们改进了2型三角剖分上的多元样条拟插值,使之具有更高的精度. 最后, 我们应用改进的拟插值算子数值求解时间发展偏微分方程. 数值实验验证了该方法的有效性.     

Analysis of the mass response of the electrochemical quartz-crystal nanobalance in horizontal and vertical geometry

We report a new design of a holder for mounting a quartz-crystal resonator in an electrochemical quartz-crystal nanobalance that is made of Teflon™. Application of this inert material and Viton™ O-rings allows us to mount a Pt-coated quartz-crystal resonator without use of any adhesive. The unique design permits easy and fast exchange of the quartz-crystal resonator. We report cyclic-voltammetry transients which are characteristic of a clean polycrystalline Pt electrode. We show two different modes of attaching the Teflon™ holder to an electrochemical cell: vertical and horizontal. We examine the mass response in these two cell geometries and demonstrate that the mass response is exactly the same for a low surface roughness Pt electrode. We present a new data treatment procedure based on data averaging and mathematical treatment based on the discrete Hartley transform. The results show that it significantly enhances the signal-to-noise ratio, yet preserves the mass response features characteristic of the system under investigation.