查询词典 iterated

Classical limit theory includes the central limit theory, the law of large numbers, and the law of iterated logarithm etc.

经典的极限理论包括中心极限定理，大数律，重对数律等等，相对于收敛性来讲，就是依分布收敛，依概率收敛，和几乎必然收敛等等。

Based on the results of the iterated logarithm law and the uniform modulus of continuity for Brownian motion, Orey and Taylor(1972) discussed the multifractal decomposition of one dimension white noise.

但有关多维白噪音的重分形分解问题，即多指标Wiener过程样本轨道的重分形分析性质至今仍未见有讨论，本文旨在讨论多指标Wiener过程样本轨道的重分形分析性质。

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。

Given some probability exponential inequalities of maximal partial sums for sequences of NQD random variables, some Laws of Logarithm and Laws of the Iterated Logarithm for Nonidentity Pairwise NQD Sequences are obtained.

通过建立两两NQD随机变量列最大部分和的概率Levy型指数不等式，给出两两NQD列的Petrov型对数律与重对数律，文献中相应结果成为其特殊情形，并得到加强。

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。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann（1985a）关于实独立随机变量列的结果，并给出了NA列强大数律成立的若干条件，特别建立了一般NA列对数律成立的充分必要条件，在二阶矩存在的条件下完整的解决了一般NA列对数律的问题，中文摘要2而已有的一些NA列对数律的结果可以由它推出，给出了NA列的Teiclier型强大数律，表明lbiChCI·（1979）给出的实独立随机变量列的强大数律可以减弱其条件等；建立厂不问分布NA列的Teicfl仪；Egorov，Petrov型有界重对数律，以及加权同分布NA列的有界重对数律，进一步推广了NA列的Kolmogory有界重对数律等，特别对NA列建立了Wittm洲型有界重对数律，而其证明方法与独立情形有很大不同，同时通过反例表明在与独立场合类似的条件下，独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形；最后研究了NA随机变量级数的收敛速度，给出了尾和下降的阶；尾和的有界重对数律，及尾和对数律成立的充要条件等，并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

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 exhibit in the shape of a pen is includes a large-screen indicator, which faces the video camera. The video-output terminal of the camera is connected to the video-input terminal of the indicator. The indicator constantly transmits its own images to the camera lens. Each time the indicator transmits an image, the image becomes smaller. The input and output signals are repeatedly iterated producing a series of similar, small graphs.

笔形展柜内有一台大屏幕显示器，另有一只摄像头与屏幕水平相对，摄像头的视频输出端与显示器视频端连接，显示其自身的像不断输入摄像机镜头，但每输入一次，图像就缩小一次，即输入与输出信号进行反复迭代，出现一系列逐渐缩小的相似图形。

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。