复调和函数的Cauchy积分公式

建立了复调和函数积分,得出了其Ｃａｕｃｈｙ积分定理与Ｃａｕｃｈｙ积分公式,并讨论了单位圆上复调和函数Ｃａｕｃｈｙ积分公式的特征．     

Statistical inference on the drift parameter in fractional Brownian motion with a deterministic drift

In statistical inference on the drift parameter a in the fractional Brownian motion W^H_t with the Hurst parameter H ∈ (0, 1) with a constant drift Y^H_t = at + W^H_t, there is a large number of options how to do it. We may, for example, base this inference on the properties of the standard normal distribution applied to the differences between the observed values of the process at discrete times. Although such methods are very simple, it turns out that more appropriate is to use inverse methods. Such methods can be generalized to non constant drift. For the hypotheses testing about the drift parameter a, it is more proper to standardize the observed process, and to use inverse methods based on the first exit time of the observed process of a pre-specified interval until some given time. These procedures are illustrated, and their times of decision are compared against the direct approach. Other generalizations are possible when the random part is a symmetric stochastic integral of a known, deterministic function with respect to fractional Brownian motion.     

Karhunen–Loeve expansion for the additive detrended Brownian motion

In this article, we obtain the Karhunen–Loeve expansion and Pythagorean type distribution identities for the additive detrended Brownian motion. As applications, the corresponding Laplace transform and small-deviation asymptotic behavior for the L₂ norm are given.     

Multipower variation from generalized difference for fractional integral processes with jumps

This article presents limit theorems of the multipower variation based on a generalized difference for the fractional integral process with jumps observed in high frequency. In particular, we obtain the large number laws for threshold multipower variation and multipower variation and the associated central limit theorems. The limit theorems are applied to estimate Hurst parameter, and the consistence and asymptotic distribution of the estimator are established. These results will provide some new statistical tools to analyze long-memory effect in high-frequency situation.     

椭圆锥带线和微带线的特性阻抗(英文)

首次提出了两种新型传输线—椭圆锥带线和椭圆锥微带线,并导出其特性阻抗表达式。文中假设此带线和微带线的工作模式分别是TEM模和准TEM模,在三维球锥坐标系统里分离变量,再通过坐标变换变成二维直角平面,借助于现有平面传输线的结果而获得椭圆锥带线和微带线的特性阻抗表达式。     

环圈结构的研究

环圈结构这新种型慢波结构具有一系列独特的优点。本文在文献[1]的基础上对它继续进行深入研究,利用格林函数给出了积分方程解,讨论了该结构的色散方程,从这个色散方程出发,研究环结构、介质环圈支持的环圈结构与环杆线。并利用这种系统的场论解导出了环圈结构中的功率流和耦合阻抗的表达式,以及对环圈结构的耦合阻抗进行了详细的讨论。作为其特例,本文还研究了环杆线与环结构的耦合阻抗。本文所得的一系列结果为利用这类慢波结构提供了依据。     

平均单叶函数的对数积分平均

证明了定理:若0相似文献   

经济哲学新视点--社会主义经济发展规律的整体性

经济规律的整体性是经济运行中诸因素交互作用所形成的合目的性的表现,社会主义经济发展规律的整体性是社会主义经济本质的体现,这种整体性根源于人们的经济实践,受制于社会主义的生产目的,在整体性质态不变的情况下,整体性的量的大小取决于整体性内在要素交互作用的状况和协调的程度.     

Nonparametric Instrumental Variables Estimation of a Quantile Regression Model

We consider nonparametric estimation of a regression function that is identified by requiring a specified quantile of the regression “error” conditional on an instrumental variable to be zero. The resulting estimating equation is a nonlinear integral equation of the first kind, which generates an ill‐posed inverse problem. The integral operator and distribution of the instrumental variable are unknown and must be estimated nonparametrically. We show that the estimator is mean‐square consistent, derive its rate of convergence in probability, and give conditions under which this rate is optimal in a minimax sense. The results of Monte Carlo experiments show that the estimator behaves well in finite samples.     

3种热平衡积分法结果的比较

运用传统的、改进的和替换的热平衡积分法求解了一维单相融化问题,在不依赖精确解的情况下比较了3种积分方法近似解的精度.结果表明：在固定温度边界条件下选取二次函数近似时,传统的热平衡积分法较改进的和替换的热平衡积分法更准确,随着Stefan数的减小,3种积分法结果的误差都在减小.