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1)  random sums
随机和
1.
A note on the large deviations of heavy-tailed random sums;
关于重尾随机和大偏差的一个注记
2.
A series of results about complete convergence of random sums of identically distributed NA sequences are obtained through equivalent conditions of complete convergence of nonrandom sums of identically distributed NA sequences,and a series of results completely corresponding to iid sequences are also obtained through discussing complete convergence of “stopped sum” and “overshoot”.
通过同分布 N A 列的非随机和的完全收敛性的等价条件,得到了同分布 N A 列的随机和的完全收敛性结果,并用以讨论“停时和”与“超出”的完全收敛性,得到了与 iid 列的完全类似的结果。
3.
[l], the authors studied the large deviations for partial and random sums of independent random variables with dominatedly varying tails, but the assumptions and the p.
文献[1]中研究了索赔额序列独立未必同分布情形下索赔额的部分和随机和的大偏差问题,但所设条件与论证过程有时欠合理。
2)  random sum
随机和
1.
A class of strong limit theorems for the random sum of three-variable state touple of three-order nonhomogeneous Markov chains are investigated.
采用网微分法与纯分析运算相结合的手法,研究三阶可列非齐次马氏链状态序组随机和的一类强极限定理。
2.
We study the relations between F and G,that is,we obtains the closure and asymptotic behavior for random sums of many heavy-tailed distribution classes on(-∞,+∞),and apply them to the compound Poisson distribution and the compound geometric distribution.
研究了在若干重尾分布族(如:正则变换,相容变换等)中F与G之间的关系,即给出支撑在(-∞,+∞)上的若干重尾分布族随机和的封闭性和渐进性,并将其应用到复合泊松分布和复合几何分布。
3.
And it provides a new idea for solving fat-tail problem in small-sample circumstances,In addition,the random sum model in insurance is introduced in order to solve calculating Sum VaR of the banking operational risk losses.
此外,为计算操作风险损失和的在险价值(VaR)问题,本文引入保险理论里的随机和模型,并给出了计算操作风险在险值的简化公式。
3)  Random Blending
随机混和
4)  random saturation
随机饱和
1.
The principal resonance of a two-degree-of-freedom non-linear oscillator to bounded noise excitations is investigated,the phenomenon of random saturation is found.
研究了二自由度非线性系统在有界随机噪声激励下,系统响应的共振与随机饱和现象。
5)  stochastic saturated flow
随机饱和流
1.
A Monte-Carlo simulation approach is utilized to obtain the stochastic saturated flows distribution under various selections to the forward directed augmented paths.
结合已有的随机选择正向增广路径的方法,提出了3种不同的正向增广路径选择方案;利用Monte-Carlo(MC)仿真方法估计出在这3种不同路径选择方案下交通网络中随机饱和流的分布情况。
6)  sums of random sequence
随机序列和
1.
In this paper,we mainly study almost sure convergence for the sums of random sequence under rth moment function of superadditive properties and convergence rate,and prove three important theorems.
通过研究上可加的r阶矩结构的随机序列和的几乎必然收敛性、收敛速度,给出了2个重要定理的证明,得出的随机序列和的收敛速度在数量级上已达到最优,并给出了定理的相关应用。
补充资料:随机数和伪随机数


随机数和伪随机数
random and pseudo-randan numbers

随机数和伪随机数【喇间佣1 al川牌”山一喇闭..m.山娜;cJI了,a如曰e”nce,口oc月卿成.以叹“c月a】 数亡。(特别,二进制数:。),其顺序出现,满足某种统计正则性(见概率论(probability Uleory)).人们是这样区别随机数(mndomn切mbe比)和伪随机数(PSeudo一mn由mn切mbe岛)的,前者由随机的装置来生成,而后者是用算术算法构造的.总是假设(出于较好或较差的理由)所得(或所构造)的序列具有频率性质,这些性质对于具有分布函数F(z)的某随机变量心独立实现的一个序列来说是“典型的”;因此人们称作根据规律F(习分布的(独立的)随机数.最经常使用的例子为:在区间【O,l]上均匀分布的随机数亡。,尸(亡。
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