Local generalized empirical estimation of regression

Let f(x) be the density of a design variable X and m(x) = E[Y\X = x] the regression function. Then m(x) - G(x)/f(x), where G(x) = m(x)f(x). The Dirac δ-function is used to define a generalized empirical function Gn (x) for G(x) whose expectation equals G(x). This generalized empirical function exists only in the space of Schwartz distributions, so we introduce a local polynomial of order p approximation to Gn(.) which provides estimators of the function G(x) and its derivatives. The density f(x) can be estimated in a similar manner. The resulting local generalized empirical estimator (LGE) of m(x) is exactly the Nadaraya-Watson estimator at interior points when p = 1, but on the boundary the estimator automatically corrects the boundary effect. Asymptotic normality of the estimator is established. Asymptotic expressions for the mean squared errors are obtained and used in bandwidth selection. Boundary behavior of the estimators is investigated in details. We use Monte Carlo simulations to show that the     

序列覆盖的闭映射保持可度量性

设f:X→Y是连续的满映射. f称为序列覆盖映射,若{y})是Y中的收敛序列,则存在X中的收敛序列{xn},使得每一xn∈f-1(yn);f称为1序列覆盖映射,若对于每-y∈Y,存在x∈f-1(y),使得如果{yn}是Y中收敛于点y的序列,则有X中收敛于点x的序列{xn},使得每一xn∈f-1(yn).本文研究度量空间序列覆盖的闭映射之构造,否定地回答了Topology and its Applications上提出的一个问题.     

Lacunary Measures and Self-similar Probability Measuresin Function Spaces

The paper deals with multifractal quantities for some types of Radon measures, especially self-similar probability measures, and their relations to Besov spaces.     

Almost Sure Central Limit Theorems for Heavily Trimmed Sums

We obtain an almost sure central limit theorem (ASCLT) for heavily trimmed sums. We also prove a function-typed ASCLT under the same conditions that assure measurable functions to satisfy the ASCLT for the partial sums of i.i.d, random variables with E X1 = 0, EX1^2 = 1.     

石墨炉原子吸收光谱法测定土壤中离子交换态的镉

本文研究了石墨炉原子吸收光谱法测定土壤中离子交换态的镉的适宜条件.试样经MgCl2溶液震荡提取离心后,以10%的磷酸二氢铵做基体改进剂,方法检出限为0.03840 μg/L,相对标准偏差(n=6)为0.9231%.本方法具有准确、简便之优点,可用于土壤样品中镉的测定.     

无溶剂顶空气相色谱法测定盐酸左氧氟沙星残留溶剂

采用无溶剂-顶空-气相色谱直接测定盐酸左氧氟沙星中残留溶剂乙醇、甲苯、二甲基亚砜(DMSO)等.各残留溶剂的检出限分别在0.007-0.032 μg,6次测定的相对标准偏差RSD在1.84%-1.92%,加标回收在90.9%-110%.方法简便、快速、灵敏,可应用于其他药品中残留溶剂的分析.     

高效液相色谱法测定金菊泡腾片中绿原酸的含量

采用Nucleosil C18(250mm×4.6mm,4.5μm)色谱柱,以甲醇-磷酸水溶液(pH=3.0)为流动相,其比例为25∶75,检测波长为327 nm,流速1.0 mL/min,柱温29 ℃,建立金菊泡腾片和双黄连口服液中绿原酸含量的高效液相色谱(HPLC)测定方法.绿原酸浓度在0.02-0.1 mg/mL与峰面积积分值呈良好的线性关系,A=0.9394C 0.3674(r=0.9991).该方法灵敏、简便、重现性好、结果准确,可用于金菊泡腾片中绿原酸含量的测定和产品质量控制.     

火焰原子吸收光谱法测定中药防风中铜、锰、锌和铁的不确定度评定

采用HNO3和HClO4消解防风样品,利用火焰原子吸收光谱法测定其中铜、锰、锌和铁含量.对测量过程中不确定度的产生原因进行了分析,并对防风中4种元素含量测定结果的不确定度进行了评定.     

5,7-二羟基黄酮与牛血清白蛋白相互作用的研究

用荧光光谱(FS)和紫外光谱(UV)法研究了5,7-二羟基黄酮与牛血清白蛋白之间的相互作用.实验结果表明,5,7-二羟基黄酮与BSA形成基态复合物导致内源荧光淬灭,淬灭机理主要为静态淬灭.该反应的结合常数4.16×107 L/mol,结合位点数n=1.5;并用同步荧光技术考察了5,7-二羟基黄酮对BSA构象的影响.     

济南地区表层土壤及沉积物中饱和烃分布特征及源解析

研究了济南地区不同功能区的表层土壤及沉积物中饱和烃的组成和分布特征,在此基础上初步分析了其来源.结果表明,饱和烃主要有正构烷烃、类异戊二烯、环烷烃等组成,正构烷烃碳数分布范围为n-C10-n-C34,类异戊二烯类主要是姥姣烷、植烷及甲基C13-C17烷等,同时还检出烷基环己烷,甾烷、三萜烷及藿烷等环烷烃.饱和烃总体含量分布为北高南低,北部化工区、高速入口处等饱和烃主要来源于原油或成品油等化石燃料及其燃烧产物;南部山区、水库沉积物及农田土壤等饱和烃主要来源于化石燃料的燃烧及高等植物.