查询词典 random-mating population

That not only could be extended to the continuous random varia- ble,but also the theorem of maximum information measure could be extended to the continuous random variable, which unified the measurement arithmetic of information between distributed random variable and continuous ran- dom variable,and gave two validating models to the information entropy of the continuous random variable in the last.

用公理化的方法，推导出了有限分布列的离散型随机变量的信息量系，不仅将它推广到连续型随机变量，而且将信息量系的最大信息量定理推广到连续型随机变量，统一了离散型和连续型随机变量的信息度量算法。最后利用得出的结论对连续型随机变量信息熵给出两个验证性算例。

As to the risk model with random premium rate, we concerned with discrete random variable, continuous random variable and general random variable. We derive the formula of ruin probability, the extreme during the total duration of negative surplus and the joint distribution of the surplus immediately before ruin and the deficit at ruin.

对于保费率为随机变量的一类风险模型，本文就离散的随机变量、连续的随机变量、一般的随机变量三个方面进行讨论，运用概率方法和风险理论的方法推导出破产概率、末离前最大盈余分布、破产前瞬时盈余与破产赤字的联合分布等精算量分布的一般公式。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence. Second, the relations among some types of convergence are studied. Finally, we design some algorithms about fuzzy random simulations to compute the mean chance of fuzzy random event, find the optimistic value of a return function, and evaluate the expected value of a fuzzy random variable.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

The identity and difference in the expressional patterns between distribution functions of discrete random variables and distribution functions of continuous random variables are elaborated,and the main expressional patterns of distribution functions of continuous random variables are summarized,and the derivability of distribution functions of continuous random variables is discussed.

0引言在概率论中，连续型随机变量分布函数的表达形式及其可导性是一难点。其一，离散型随机变量的分布函数有较明显的性质和统一的表达形式，而连续型随机变量，由于其概率密度函数一般为分段函数，根据其分段区间的差异，表达形式差异较大，不容易总结其规律，本文主要比较连续型随机

Under some conditions, we prove that random nonuniformly exponential dichotomy actually imply random uniformly exponential dichotomy. And, using the normal Lyapunov exponents, we also obtain a sufficient condition under which a random compact and invariant subset is a random forward attractor. This is a generalization of the results of Ashwin\'s.

在一定条件下，我们证明了随机非一致指数二分性蕴含着随机一致指数二分性，同时，利用法向Lyapunov指数，我们还给出了一个紧致的随机不(来源：A5cBc765C论文网www.abclunwen.com)变集能成为随机吸引子的一个充分性条件，推广并改进了Ashwin的一些结果。

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。

The tensile strength and the elastic modulus were assumed to obey Weibull and logarithmic normal distribution and the other mechanical parameters were taken as constant values in the simulations of three-graded-concrete supported beam. The random aggregate random parameters model was established, which is very close to the actual structure. The results show that the nonlinear behavior of higher homogeneous specimen appears later obviously; the influence of random distribution of elastic modulus on the mechanical character is very little in linear range, while great in nonlinear range; random distribution of tensile strength affects the strength and the damage threshold of concrete obviously.

对三级配混凝土简支梁进行数值模拟时，假定各相材料的抗拉强度和弹性模量服从Weibull、对数正态两种随机分布，其他力学参数取定值，生成和实际结构比较接近的随机骨料随机参数模型，数值模拟结果表明材料均质度较高的试件出现非线性行为的时间要明显滞后于均质度较低的试件；弹性模量分布的随机性对材料线弹性段力学性能的影响极小，而对非线性区域的影响较大；材料强度分布的随机性对混凝土的强度和损伤阈值有较大的影响。

This paper, the future market conditions as a random event, according to the probability of higher mathematics in the theory of the future market and the level of information, analysis and evaluation of mathematical expectation of random variable as a random variable reflects the average level, it is important to the probability of random variable characteristics.

本文把未来市场状况作为随机事件，依据高等数学中的概率理论，对未来市场和信息的水平作出分析和评价，由于随机变量的数学期望体现了随机变量的平均水平，它是随机变量的重要概率特征。

The primitive polynomial of 3-12 pseudo-random sequence generator is obtained after the deductions. The better nonlinear feedback function of all states pseudo-random sequence generator can be picked out according to the characteristic of pseudo- random sequence signal, then using all states of shifting counter through modifying the linear shift register feedback network to realize the all states pseudo-random sequence signal.

经过推导可以得到3-12 bit伪随机序列发生器的本原多项式，再根据伪随机序列信号的特性选择出较好的全状态伪随机序列发生器的非线性反馈函数，即通过修改线性移位寄存器的反馈网络将移位型计数器的全部状态加以利用，实现全状态伪随机序列信号。

Describes how to generate random numbers of articles in the computer does not have a true random number generator, but it can be done to generate the number of repetition rate is very low, this might seem true random numbers, to achieve this functionality program is called pseudo-random number generator.

详细说明：介绍怎样产生随机数的文章，在计算机中并没有一个真正的随机数发生器，但是可以做到使产生的数字重复率很低，这样看起来好象是真正的随机数，实现这一功能的程序叫伪随机数发生器。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。