Asymptotic Properties of the Maximum Likelihood Estimate in Generalized Linear Models with Stochastic Regressors

For generalized linear models （GLM）, in case the regressors are stochastic and have different distributions, the asymptotic properties of the maximum likelihood estimate （MLE） β^n of the parameters are studied. Under reasonable conditions, we prove the weak, strong consistency and asymptotic normality of β^n     

The role of nucleobase carboradical and carbanion on DNA lesions: a theoretical study

DNA base release induced by H and OH radical addition to thymine and their corresponding electron adducts is studied at the DFT B3LYP/6-31+G(d,p) level in gas phase and in solution. H atom transfer after radical formation from C2' on the sugar to the C6 site on the base is shown to be prohibited for the radical species. Their corresponding electron adducts, albeit minor events in cellular systems, show excellent capabilities to proton transfer from C2' on the sugar to the C6 site on the base. The barriers for subsequent N-glycosidic bond dissociation range from 0.1 to 1.6 kcal mol(-1) at the B3LYP level and around 5 kcal mol(-1) using the BB1K functional, implying that these reactions can serve as a source to abasic sites. Analysis of bond dissociation energies show that all the reactions are exothermic, which is consistent with the changes in N-glycosidic bond lengths during the proton-transfer reactions. Bulk solvation plays a reverse influence on proton transfer and the bond rupture reactions. Molecular orbitals, NPA charges, and electron affinities are calculated to shed further light on the properties leading up to the intramolecular reactions.     

Threshold functions and Poisson convergence for systems of equations in random sets

Mathematische Zeitschrift - We study threshold functions for the existence of solutions to linear systems of equations in random sets and present a unified framework which includes arithmetic...     

Approximation of semilinear fractional Cauchy problem: II

Semigroup Forum - We consider the semidiscrete approximation of the Cauchy problem $$\begin{aligned} ({\mathbf {D}}_{t}^{\alpha }u)(t) = A u(t) +f\big (t,u(t)\big ), \quad t \in (0,T],\ u(0) =...     

Existence and Uniqueness of Martingale Solutions to Option Pricing Equations with Noise

Lithuanian Mathematical Journal - We introduce a new option pricing equation with noise in a frictional financial market, which is fully different from the classical option pricing equation, and...     

ChemInform Abstract: Compounds of Superatom Clusters: Preferred Structures and Significant Nonlinear Optical Properties of the BLi6X (X: F,LiF2, BeF3, BF4) Motifs.

ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 200 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.     

Existence and nonexistence of the global solution for the semilinear parabolic system on Riemannian manifold

In this paper, we study the global existence and nonexistence of solutions to the following semilinear parabolic system

     

4H-SiC肖特基二极管的电荷收集特性

针对极端环境下耐辐照半导体核探测器的研制需求,采用耐高温、耐辐照的4H碳化硅(4H-SiC)宽禁带材料制成肖特基二极管,研究了该探测器对241Am源粒子的电荷收集效率。从电容-电压曲线得出该二极管外延层净掺杂数密度为1.991015/cm3。从正向电流-电压曲线获得该二极管肖特基势垒高度为1.66 eV,理想因子为1.07,表明该探测器具备良好的热电子发射特性。在反向偏压高达700 V时,该二极管未击穿,其漏电流仅为21 nA,具有较高的击穿电压。在反向偏压为0~350 V范围内研究了该探测器对3.5 MeV 粒子电荷收集效率,在0 V时为48.7%,在150 V时为99.4%,表明该探测器具有良好的电荷收集特性。