极限分布

In this paper, tolerance analysis mainly relates to three methods, viz."Extremum Method","Statistics Method" and "method of Monte Carlo". The character of the "Extremum Method" is to calculate the limit dimension of the close loop according to every limit dimension of the composing loop in order to ensure an entire frogging character, and get the tolerance of close loop.

极值法"的特点从保证完全互换着眼，由各组成环的极限值计算出封闭环的极限尺寸，从而求得封闭环公差；"统计法的特点是从保证大数互换着眼，根据各组成环的实际尺寸在其公差带内的分布情况，按某一置信概率求得封闭环尺寸实际分布范围，由此决定封闭环公差。

It couples the general limit equilibrium method and hydrological distribution model based on DEM, and can be used as a effective approach to predict the occurrence of landslide under different precipitation conditions as well as landslide mechanics research.

它将工程中广泛采用的滑坡极限平衡分析模型与基于DEM的水文分布模型有效地集成起来，旨在解决作为滑坡重要影响因素的降雨条件对滑坡发生、分布的影响机理及滑坡在不同降雨条件下的变形失稳定量预测的问题。

Then,in order to conduct further statistical inference,it is important to find the limiting distribution of LSS of LDRM.

关于经验谱分布收敛到极限谱分布的收敛速度问题，一般的猜想是O(n-1)。

Since the concept of NA have a lot of applications in multivariate statistical analysis, reliability theory and percolation theory, various aspects of NA are significant and have been investigated by a host of scholars Fist, we give some Fuk-Nagaev type probability inequalities, moment inequalities of maximal partial sum for sequence of NA random variables, and some strong law of large numbers and complete convergence for sequence of NA random variables are obtained.

在本论文中我们对不要求强平稳或同分布的NA随机变量列进行了多方面的研究：首先对NA列建立了一组具有NA特点的关于最大部分和的Fuk-Nagaev型概率不等式及其关于某一类特定函数的矩不等式，它们在后续给出的极限定理的证明中发挥着重要作用；研究了具有不同分布的NA列的强收敛性，如对NA列建立了更一般条件下的Wittmann型强大数律及完全收敛性，同时也进一步改进了R。

The notion of sample relative entropy , as a random measure of the deviation of a sequence of nonnegative continuous random sequence from independent random sequence with exponential distribution, is introduced.

利用样本相对熵作为一般非负连续型随机变量序列相对于服从指数分布的独立但不同分布随机变量序列偏差的一种随机性度量，运用鞅理论及分析方法，研究了一类随机变量序列加权和的用不等式表示的极限定理，即强偏差定

With the theoretical model of spherical grain dynamics of sparse two-phase flow in single dimension, computing formulas of velocity′s attenuation and scattering distance were built for explosive residue grains in horizontal. Then, a simplified theoretical model on distribution of explosive residue was put forward on the basis of a spherical space with radius equalling to maximum horizontal scattering distance of explosive residue grains with certain diameter.

为了对残留物颗粒的飞散运动及分布规律进行理论分析，利用球形颗粒一维稀疏二相流动力学模型，研究得到炸药残留物颗粒的速度衰减及水平飞散距离计算公式；在此基础上，建立了以某粒径残留物颗粒水平运动极限距离为半径的炸药残留物颗粒球面空间分布简化理论模型。

Simulation results of initial hole included the relationship of punch load and punch stroke, the hole profile, the distribution of stress and strain, the forming limit diagram, and the variation of the workpiece thickness. The simulation results showed good agreement with the experiments in the bore-expanding process.

由初始孔径4mm之料片於扩孔成形之数值模拟与实验结果比较得知，冲头负荷与冲程关系、内孔轮廓大小、应力与应变分布、成形极限图与工件厚度分布等，皆显示实验与数值模拟间的一致性。

Thirdly, proper probabilistic model is built for the bilateral stop-and-go generator and the probability properties of its output sequence are studied. It is proved that the output sequence obey strong law of large numbers and central limit theorem and that, however, the distributions of 0 and 1 in the output sequence are imbalanced, which implies that this generator cannot be used as keystream generator directly. The rate of coincidence between the output sequence and corresponding LFSR sequences, together with their first derivatives are obtained, which reveal the existence of correlation between these sequences.

最后，建立了双侧停走生成器的概率模型，研究了双侧停走生成器输出序列的概率分布性质和大数性质，证明了生成器输出序列服从强大数定律和中心极限定理，得到了生成器输出序列中0，1分布是不平衡的结论，由此指出不能将这种生成器直接作为密钥流生成器；给出了双侧停走生成器输出序列和相应的线性移位寄存器序列之间的符合率以及一阶差分序列之间的符合率，得到了符合率的表达式，揭示了这些序列的对应比特和对应序列段之间存在相关性。

Secondly, the properties of output sequences of stop-and-go clocked combiners are discussed. It is proved that the output sequences are stationary and obey strong law of large numbers and central limit theorem. Using the probabilistic model properly built, we analyze the rate of coincidence between the output sequences of two kinds of generators with basic operations and corresponding LFSRs sequences. All the computational formulae are derived. A recursive algorithm for efficiently computing the poster probability of partial input strings and corresponding joint probability is introduced. Moreover, divide-and-conquer attacks on this kind of generators which reconstruct the initial states of the input stop-and-go generators individually are proposed.

其次，分析了一般钟控停走组合生成器输出序列的概率分布性质，证明了生成器的输出序列是严平稳的，且服从强大数定律和中心极限定理；考察了钟控加法型组合生成器和钟控乘法型组合生成器的输出序列和相应的常规钟控下线性移位寄存器序列之间的符合率，给出了符合率的具体计算公式；给出了组合器输出序列段和输入序列段之间的联合分布以及部分输入序列段的后验概率的有效递归算法，进一步提出了利用后验概率对钟控组合生成器进行分别征服相关攻击的方法。

Major topics covered are: basic concepts of probability, sample space and events, axioms of probability, random variables, discrete and continuous distributions, joint and marginal distributions, numerical characteristic for random variables, the weak law of large numbers, central limit theorem, basic concepts of statistics, parameter estimate, hypothesis testing and regression analysis.

本课程的基本内容有：随机事件及其概率、随机变量及其分布、多维随机变量及其分布、随机变量的数字特征、大数定律与极限定理、数理统计的基础知识、参数估计、假设检验、回归分析。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。