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1)  moderate deviation
中偏差
1.
By using Taylor series expansion and Stirling formula,we obtain the moderate deviation in the number of edges.
本文讨论了对顶点按照一定比列着色的随机图,利用泰勒展式和斯特灵公式,得到了随机图边数的中偏差和重对数律。
2.
For a multi-dimensional diffusion process dX(t) =σ(t)dB(t) withσ(t) unknown, we study the large and moderate deviations of the estimator of the quadretic variationalprocess [X]t =∫0t(σσ*)(s)ds.
对于高维扩散过程dX(t)=σ(t)dB(t),(其中σ(t)未知),我们讨论其平方变差过程[X]t=∫0t(σσ*)(s)ds的估计的大偏差及中偏差
3.
Using the property of Brownian motion and the contraction principle , we get moderate deviations and law of the iterated logarithm for the length of intersection of p one-dimensional Wiener sausages.
利用布朗运动的相关性质和收缩原理,得到p个Wiener sausage相交部分长度的中偏差和重对数律。
2)  Moderate deviations
中偏差
1.
Large deviations and moderate deviations for kernel estimator of density function of directional data;
方向数据核密度估计的大偏差和中偏差
2.
We use the Kato s analytic perturbation theory and verify the C2-regularity condition for central limit theorem and moderate deviations.
本文利用Kato分析扰动定理,通过验证C2-正则性条件,给出了关于马氏过程Lipschitz可加泛函的中偏差和中心极限定理。
3.
We consider the moderate deviations and the law of the iterated logarithm for the least square estimators in linear models with i.
本文研究了线性模型的最小二乘估计的中偏差
3)  Moderate deviation principle
中偏差
1.
Moderate deviation principles(MDPs) are proved for the occupation time process of a super Brownian motion with immigration,where the immigration is governed by the Lebesgue measure.
本文证明了当底空间维数d≥3时,一类带移民超布朗运动占位时过程的中偏差,其移民由Lebesgue 测度控制。
2.
In this paper, we prove that the MLE in random censoring model with incomplete information obeys moderate deviation principle and the Chung type law of the iterated logarithm under some mild conditions by Yurinskii inequality and Taylor expansion.
本文研究带有不完全信息随机截尾模型的中偏差和Chung-重对数律,在一定条件下,应用Yurinskii概率不等式及Taylor渐近展开得到这一模型的极大似然估计(MLE)满足中偏差和Chung重对数律,作为其推论,我们得到:不完全信息随机截尾试验下,指数分布和Weibull分布的MLE满足Chung重对数律。
4)  the midline devariation
中线偏差
5)  alignment deviation
对中偏差
1.
Through establishment of the mechanical model of the shaft support the variation of the bearing static load produced by the shaft alignment deviation is calculated and further the related dynamic characters of the bearing is also calculated to evaluate the stability of shaft running.
通过建立轴系支承的力学模型,求出由于轴系对中偏差而产生的轴承静载荷的变化,进而求出轴承的有关动态特性,以此来评估轴系运转的稳定性。
6)  Centering Error
中心偏差
1.
Application of the Position Detector in the Determination of Lens Centering Error;
PSD 在测定光学中心偏差中的应用
补充资料:逼近函数的偏差


逼近函数的偏差
deviation of an approxmating function

  通近函数的偏差【山血位扣of ana即.油加tiI犯如‘丘.;yoo.e。。e np:6二:狱a沁川e‘中y。二明。。1 逼近函数g〔K和一个给定函数f任叨之间的距离p匆,f).在同一个类叨内可以考虑用不同度量p,譬如一致度量 p(g,f)一碧笃}g(x)一f(x)I,以及积分度量 /(。,,)一(i一(·)一,(·):“·)’‘’,p一和别的度量.至于逼近函数的类K则可以用代数多项式、三角多项式,还有f关于某个正交系的正交展开的部分和,这些部分和的线性平均,以及一些别的集之、
  
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