关于“误差与偏差”问题的讨论

本对“误差与偏差”的几个同题进行初略的讨论。并由此推出了误差与偏差的关系式和标准误差公式。     

基于报警偏离分析的入侵检测研究

在入侵检测实践中频繁报警与高误警率一直是难以避免的问题。针对这样的情况,文章提出了一种入侵检测中的报警偏离分析方法,它在减轻频繁报警冲击的同时,通过综合评估的方式降低了错误报警的影响。实验结果表明了该方法的有效性。     

归一化偏差本体反射特征的研究

使图像获得不受光照和几何条件影响的颜色特性描述是实现颜色恒常性的关系，利用双色反射模型和有限维线性模型，提取归一化偏差体反射特征。被实验证明是实现颜色恒常性的一个重要途径，本文详细阐述了归一化偏差本体反射特征的特性，其计算方法，应用的前提条件，以及应用限制，并在实际图像处理中，考虑到了这些影响的因素。     

Letter: Epicyclic Orbital Oscillations in Newton's and Einstein's Gravity from the Geodesic Deviation Equation

In a recent paper Abramowicz and Kluniak [1] have discussed the problem of epicyclic oscillations in Newton's and Einstein's dynamics and have shown that Newton's dynamics in a properly curved three-dimensional space is identical to test-body dynamics in the three-dimensional optical geometry of Schwarzschild space-time. One of the main results of this paper was the proof that different behaviour of radial epicyclic frequency and Keplerian frequency in Newtonian and General Relativistic regimes had purely geometric origin contrary to claims that nonlinearity of Einstein's theory was responsible for this effect. In this paper we obtain the same result from another perspective: by representing these two distinct problems (Newtonian and Einstein's test body motion in central gravitational field) in a uniform way — as a geodesic motion. The solution of geodesic deviation equation reproduces the well known results concerning epicyclic frequencies and clearly demonstrates geometric origin of the difference between Newtonian and Einstein's problems.     

On a kind of integrals of empirical processes concerning insurance risk

This paper proves the strong consistence and the central limit theorems for empirical right tail deviations.     

Large Deviation Principle for Additive Functionals of Brownian Motion Corresponding to Kato Measures

Let (B _t ,P ^W _x ) be the Brownian motion. Let be a Radon measure in the Kato class and A _t the additive functional associated with . We prove that A _t /t obeys the large deviation principle.     

Variational representations of Varadhan functionals

Motivated by the theory of large deviations, we introduce a class of non-negative non-linear functionals that have a variational ``rate function" representation.

     

Macroscopic Determinism in Noninteracting Systems Using Large Deviation Theory

We consider a general system of n noninteracting identical particles which evolve under a given dynamical law and whose initial microstates are a priori independent. The time evolution of the n-particle average of a bounded function on the particle microstates is then examined in the large-n limit. Using the theory of large deviations, we show that if the initial macroscopic average is constrained to be near a given value, y, then the macroscopic average at time t converges in probability as n to a value _t(y) given explicitly in terms of a canonical expectation. Some general features of the graph of _t(y) versus t are examined, particularly in regard to continuity, symmetry, and convergence.     

摆动式声多普勒效应实验仪

针对现有的声多普勒效应实验装置中存在的问题,设计并制作了摆动式声多普勒效应实验仪.该仪器能够分别进行声源运动和观察者运动的声多普勒效应实验,且可定量分析频偏和测量速度.本文详细介绍了该仪器的原理、构造、特点和实验过程,并对实验结果进行了较为全面的分析.     

两个均匀分布总体标准差比的区间估计

考虑取两个均匀分布总体样本数不等时,两个均匀分布总体标准差比的估计,给出了两个均匀分布总体标准差比的区间估计.