查询词典 iterated logarithm

In the first chapter , we consider the law of iterated logarithm with finite partial sum. Under certain condition ,we extend the law of iterated logarithm with finite partial sum for the Wiener process to Gaussian process ; In addition, we apply the law of iterated logarithm of Chung to the finite partial sum condition.

第一章考虑有限项部分和的重对数律，在一定条件下，将 Wiener过程下有限项部分和的重对数律推广到高斯过程中，得到高斯过程下的有限项部分和的重对数律；另外，将Chung氏重对数律进一步推广到有限项部分和的情形下。

The Law of Iterated Logarithm for independent r.v. has been deeply discussed in all kinds of paper. We have been familiar with "the Law of Iterated Logarithm of Kolmogorov" and "the Law of Iterated Logarithm of Hartman-Wintner".

各种文献中对独立随机变量序列重对数律已有深入讨论，我们已熟知"Kolmogorov重对数律"及"Hartman-Wintner重对数律"。

This paper will mainly discuss the Law of Iterated Logarithm for some kind weighted partial sum. It is an extension of "the Law of Iterated Logarithm of Kolmogorov".

本文主要讨论独立随机变量某种加权和重对数律，它是"Kolmogorov重对数律"的推广。

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。

Regarding iterated processes as objective function,parameters of algebra iterated system as design variables,and boundary condition of iterated variables as constrains,a new optimum method was proposed,which was used to calculate bifurcation of Logistic mapping.

以迭代过程关系构成目标函数，参数为设计变量，迭代变量的边界为约束，建立关于分支值计算的新方法含约束条件的最优化程序算法。

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。

Result indicated that this model and the experimental data were inosculated. Good linear relationships were found between the natural logarithm of solution density, the logarithm of reaction duration, the reciprocal temperature and the natural logarithm of medicament concentration.

结果表明在单因素条件下，药剂质量浓度对数、反应时间的对数、反应温度的倒数与溶液中溶质的自然对数之间具有良好的线性关系，该模型可以同试验数据相吻合。

Using augmented Dickey-Fuller test, the result shows that BDI logarithm series is nonstationary but the first difference is stationary, i. e. it is integrated of order one. High-level ARCH effect was certification in the BDI logarithm series by ARCH LM test, and GARCH (1, 1) model was used to eliminate the conditional heteroscedasticity. Through variance ratio test, the result shows, that the random walk hypothesis of BDI logarithm series can be rejected and international dry bulk shipping market is inefficient.

运用ADF检验方法对BDI的对数序列进行平稳性和单整检验，结果证明BDI对数序列是一个非平稳过程，经一阶差分后是平稳过程，即BDI对数序列是一阶单整过程；通过ARCH LM检验认为BDI对数序列存在高阶ARCH效应，并用GARCH(1，1)模型消除了残差序列的条件异方差性；通过方差比检验法对国际干散货航运市场的收益率序列进行了检验，结果显示BDI的对数序列的随机游走假设被拒绝，国际干散货航运市场不是一个有效的市场。

In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation , and obtain some precision evaluation.

摘要研究了二阶齐次线性微分方程非零亚纯解的迭代级与零点迭代收敛指数，得到了它们的精确估计。

We also present iterated function systems 、local iterated function systems、Barnsley's collage theorem and Markov's theorem.

我们也介绍了迭代函数系统、局部迭代函数系统、Barnsley的拼贴定理和Markov定理。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。