查询词典 exponential distribution

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ)，这两类序列具有"优"的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

Risk model ; claims ; mixed exponential distribution ; bankruptcy probability

风险模型；理赔额；混合指数分布；破产概率

This research used two kinds of structural form model, LS-LT, KMV, and a reduced form model, Poisson and exponential distribution model.

本研究所使用的违约机率评估模型，包括了LS-LT、KMV两种结构式模型，与普瓦松─指数分配之简化模型。

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

A simulation-based model is applied to describing the phased-mission system with multi-repairer. Algorithms for calculation of the optimization quantity of spare parts are provided. To examine the applicability of the method, some examples are presented in this paper. Finally, the optimization quantity of spare parts following exponential distribution are calculated with both this method and analysable method.

近年来，许多学者在这方面进行研究，如文献[1]介绍了单阶段任务条件下部件寿命服从指数分布的备件携行量计算方法；文献[2]给出了其它几种特殊分布的计算方法，但都是针对单阶段任务条件下部件不可修情况的；文献[3]给出了一种基于BDD的多阶段任务备件携行量计算方法，但仍是仅研究了指数分布、且任务期间部件不可修的情况。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ)，这两类序列具有&优&的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

Capacity model of the minor mixed traffic flow under major stream with shifted negative exponential distribution on the unsignalized intersection is set up, and it is an extension of capacity model for mixed traffic flow.

建立了无信号交叉口主车流服从移位负指数分布下的支路多车型混合车流的通行能力模型，发展了无信号交叉口的混合车流通行能力理

The results show that the variation of diameter of ATF yarn increases with increasing the over feed of peel filament, but the variation of average diameter decreases. When the polyester FDY is used as core filament, the structure of diacetate composite ATF is looser than the ATF with capron as core filament, and the unevenness of yarn core and outside are also greater. The ATF loops or hairiness mainly centre at the height 0.5 and 1.0 mm, the amount decreasing with the height increasing, with exponential distribution. When the over feed of peel filament enhances, the number of loops or hairiness decreases at the height of 0.5 mm, while other height of loops or hairiness increases.

结果显示：空变丝纱芯直径的变异随皮丝超喂提高而增加，但平均直径的变异却呈下降趋势；以涤纶FDY做芯丝时，二醋酯长丝复合空变丝的结构较芯丝为锦纶的空变丝松散，纱芯和外围不匀程度也相对较大；空变丝丝圈丝弧或毛羽主要集中在高度为0.5mm和1.0mm的位置，其个数随高度的增加而不断减少，基本呈指数分布；皮丝超喂提高时，0.5mm高度的丝圈丝弧或毛羽个数减少，其他高度的丝圈丝弧或毛羽个数则增加。

The 7th chapter introduces a class of mixtures of exponential distribution and proof they are heavy-tailed Pareto distributions.

第七章在流量建模及流量预测的基础上进行网络性能分析。

Probability distributions of three scalars (concentration of CO2、water vapor and temperature) can be described by exponential distribution.

湍流观测量(温度、水汽和二氧化碳浓度)的概率分布可以用指数分布来描述。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。