查询词典 iterated logarithm

For example, Burton and Dehling (1990) have obtained a large deviation principle for the linear processes, Yang (1996) has established CLT and the law of the iterated logarithm, Li et al.

其实，关于相依随机变量的极限性质的研究可以追溯到二十世纪二、三十年代，当时就有Bernstein(1927)、Hopf(1937)和Robbins(1948)等学者相继对其进行研究。

For general point process model,we pose the mild condition under whichthe maximum likelihood estimateof the parameter possesses the strongconsistency and the convergence rate of iterated logarithm type.

首先对一般的点过程模型我们研究了随着观测时间的增加，参数极大似然估计的渐进性质。我们提出了相当广泛又便于验证的一组条件，足以保证极大似然估计具有强相合性及重对数型收敛速度。

This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

Long after the time when Ciesielski and Taylor obtained the law of iterated logarithm of occupation measure of spatial Brownian motion, Dembo,Peres,Rosen and Zeitouni made a multifractal analysis of occupation measure of spatial Brownian motion, and got the multifractal spectrum of the occupation measure.

Ciesielski和Taylor(1962年)得到了空间布朗运动占有测度的重对数律。

Stationary NA sequences; empirical measure; large deviations principle; linear processes; functional law of the iterated logarithm; strong approximations; LPQD sequences; m-dependent random element; precise asymptotics; the central limit theorem for the sum of random number

基础科学，数学，概率论、数理统计平稳NA序列；经验测度；大偏差原理；线性过程；泛函型重对数律；强逼近； LPQD序列； m-相依随机元；精确渐近性；随机指标中心极限定理

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。