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random variable
相关语句
  随机变量
     Study the distributions of continuous type random variable function η=|ξ|,η=ξ~2 and ζ=aξ+bη, thus get the calculate formula of the density function about those functions.
     研究一维连续型随机变量ζ的函数η=|ξ|和η=ξ2的分布以及二维连续型随机变量(ξ,η)的函数ζ=aξ+bη的分布,从而得到η=|ξ|,η=ξ2及ζ=aξ+bη的密度函数的计算公式.
短句来源
     μ~n~ 1γσ_n de~N,n→∞,where S_k=ki=1X_i,γ=σ/μ,σ~2_n=Var1γnk=1S_kkμ-1 and N is a standard normal random variable.
     μn1γσndeN,n→∞,其中Sk=∑ki=1Xi,γ=σ/μ,σ2n=Varγ1∑k=n1kSμk-1,N是标准正态随机变量.
短句来源
     Let ξ be the maximal value point of unimodal objective functions f(x) in the interval [0, F_(n+1)], and let g_n(ξ) be Probability density functions of random variable ξ, ξ∈[0,F_(+1)], where the F_n are the Fibonacci numbers.
     设ξ是定义在(0,F_(x+1))上的单峰目标函数f(x)的最大值点,g_n(ξ)是随机变量ξ(ξ∈[0,F_(x+1)])的概率密度函数,其中F_n是斐波那奇数。
短句来源
     Let {X_i} be a sequences of independent random variable with E(Xi) = 0, E(X_i~2) < ∞ (i = 1, 2,… ), where the remainder of the central limit theorem is: △n =O((ln Bn… (lnk B-n)~(1+δ)~(-1), we prove the result as follow:
     {X_i}为独立随机变量序列,E(X_i)<+∞,E(X+(2)_(i))<+∞(i=1,2,…),当中心极限定理中的余项△n=O(ln Bnln ln Bn…(lnk Bn)~(1+δ)~(-1))时,本文得出结论:
短句来源
     The independence of two dimensional random variable (X, Y) is defined by the equation F(x,y)=F X(x)·F Y(y), of which F(x,y),F X(x),F Y(y) are distribution functions to (X,Y),X and Y.
     二维离散型随机变量(X,Y)相互独立的定义是:F(x,y)=FX(x)FY(y)。 其中F(x,y),FX(x),FY(y)分别为(X,Y),X,Y的分布函数。
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  随机变量的
     Six distributions i. e. binomial, Pascal, Poisson, Г(n,λ), X~2 (n) and N (0,1) are gained by characteristic function of random variable from 0-1, geometry, binomial, exponent, X~2 (1) and L(α,β) distributions in order.
     用随机变量的特征函数从0-1,几何,二项,指数,x~2(1),Γ(α,β)6个分布依次推出二项,巴士卡,泊松,Γ(n、λ)、x~2(n),N(0,1)6个分布。
短句来源
     This paper gives a fast density-resolving sample method for N (0,1) random variable. Its sample efficiency is about 1.1-1.65times that of the Marsaglia method, and is about 1.1-2.3times(varite number n=6) or 1.38-3.1 times (varite number n=8) that of the U(0,1) variable sum method.
     本文给出一个产生标准正态随机变量的快速密度分解抽样方法,其抽样速度为M氏法的1.1~1.65倍,为U(0,1)变数和方法的1.1~2.3倍(变数个数n=6)或1.38~3.1倍(变数个数n=8)。
短句来源
     DISTRIBUTION OF DISCRETE RANDOM VARIABLE AND TOEPLITZ MATRICES
     离散型随机变量的分布律与Toeplitz矩阵
短句来源
     The equation to calculate natural frequency and the expression of dynamic response have been built, and the digit characteristics of natural frequency random variable and dynamic response are derived.
     推导出了求解随机参数链式结构动力特性的方程式和随机参数链式结构动力响应的计算表达式,并推导了结构固有频率和动力响应随机变量的数字特征计算表达式。
短句来源
     The Maximum Distribution of Multi-independent Normal Distribution Random Variable
     多个独立正态分布随机变量的最大值分布
短句来源
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  随机变数
     An Asymprtotic Estimation for the Distribution of the Minimum Value in Random Variable Partial Sum Sequence
     随机变数和序列最小值分布的一个渐近估计式
短句来源
     Applying the Perron-Frobenius theorem about irreducible non-negative matrix, by the method of constructing a martingale through extending the given stationary ergodic Markov chain, this paper deduces an asymptotic estrmation for the distribution of the minimum value in the random variable partial sum sequence generating from the Markov chain under some certain conditions.
     本文应用关于不可约非负矩阵的Perron—Frobenius定理,通过扩张随机变数序列构造一个鞅的方法,求得了满足某些特定条件的有限状态平稳遍历马氏链的部分和序列可能达到的最小值的分布的一个渐近估计式。
短句来源
  “random variable”译为未确定词的双语例句
     Some Necessary and Sufficient Condition of Multivariate Random Variable Satisfy Normal Distribution
     Some Necessary and Sufficient Condition of Multivariate Random Variable Satisfy Normal Distribution
短句来源
     The Hajek Renyi Inequlity For Banach Space Valued Random Variable Sequences and Its Application
     The Hjek-Rnyi Inequlity For Banach Space Valued Random Variable Sequences and Its Application
短句来源
     Let X_(1,n),…, X_(N,n) be a segment of an infinite sequence of exchangeable random variables, X_(1,n)~*≤…≤X_(N,n)~* be its order statistics, and N=N(n) be a random variable which is independently distributed of the X's, n=1, 2,….
     设X_(1,n) …,X_(N,n)是可换r. V. 无穷序列的一段,X_(1,n)~*≤…≤X_(N,n)~*为其顺序统计量,N=N(n)是与这些X(1,N)独立的正整值r.
短句来源
     Design of Equivalent Normal Random Variable of Structural Reliability for Ψ(t)R_0-Compound Non-homogenous Monotone Poisson Process Model
     Ψ(t)R_0──复合非时齐单调Poisson过程模型结构可靠性当量正态设计
短句来源
     Assume that (X,Y)is a bivariate random variable. Let (X 1,Y 1), (X 2,Y 2),… (X n,Y n) be i.i.
     假定 (X1,Y1) ,(X2 ,Y2 ) ,… ,(Xn,Yn)是取自二维随机向量 (X ,Y)的独立同分布样本。
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  random variable
The parameter estimation and the coefficient of contamination for the regression models with repeated measures are studied when its response variables are contaminated by another random variable sequence.
      
The result shows that the output sequence is an independent and uniformly distributed 0,1 random variable sequence.
      
Nonparametric Approximation of the Density Function Logarithm of the Two-dimensional Random Variable
      
Consideration was given to a method for approximating the probability density of a two-dimensional random variable with separate stages of generating the local estimates and smoothing the random errors.
      
The duration of every job is a random variable distributed by a given law.
      
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The main purpose of this paper is to describe Monte Carlo methods for solving the three types of boundary-value problems of the elliptic equation where c(p)>0, b(p)>0, e(p)≤0, and to discuss what restrictions have to be made to ensure the existence and finiteness of expectations and variances of the random variables concerned. For the first and third boundary-value problems, it is proved that, when the varying-probability method is used, the expectation and variance of the random variable exists and is...

The main purpose of this paper is to describe Monte Carlo methods for solving the three types of boundary-value problems of the elliptic equation where c(p)>0, b(p)>0, e(p)≤0, and to discuss what restrictions have to be made to ensure the existence and finiteness of expectations and variances of the random variables concerned. For the first and third boundary-value problems, it is proved that, when the varying-probability method is used, the expectation and variance of the random variable exists and is finite. It is also proved that its second moment satisfies a finite-difference equation and an estimation of its solution is given. For the second boundary-value problem, it is shown that the expectation exists and is finite if e(p) is not identically zero. The variance is finite if the stop ping-probabilities at the boundary are sufficiently small. Finally, a Monte Carlo method for solving biharmonic equation is introduced. This paper is a rewriting of the writer's under-graduate thesis and graduate thesis, both of which were written under the direction of Mr. Wang Chien-hwa.

本文的主要目的在于讨论用蒙特卡洛方法解椭圆型方程a(p)>0, b(p)>0, e(p)≤0的三类边值问题,随机变量的数学期望存在、有限和方差有限的条件。对第一、第三边值问题,证明了用变概率方法求解时,随机变量的数学期望存在、有限且方差有限,并证明二阶矩满足一差分方程,对它作了估计。对于第二‘边值问题,证明了在 e(p)不值等于 0寸,数学期望存在、有限。并且在边界上的停止概率足够小时,方差有限。最后还给出双调和方程的一蒙特卡洛解法。 本文是综合了作者的学年论文与毕业论文的内容改写而成,两者都是在工建华先生的指导下完成的。

The magnitude of temperature fluctuation spectrum ΦT(K0) or temperature structure coefficient G2T can be directly measured by acoustic radar. In atmosphere, the spectrum scale is very wide, so in atmospheric boundary layer the magnitude ΦT(K0) or G2T measured by acoustic radar is a random variable obeying the logarithmic normal distribution.We analysed the frequency spectra of ΦT(K0) and found that in the frequency range of 10-3-3 × 10-3 c/s there is a maximum value vange of energy. Between the maximum...

The magnitude of temperature fluctuation spectrum ΦT(K0) or temperature structure coefficient G2T can be directly measured by acoustic radar. In atmosphere, the spectrum scale is very wide, so in atmospheric boundary layer the magnitude ΦT(K0) or G2T measured by acoustic radar is a random variable obeying the logarithmic normal distribution.We analysed the frequency spectra of ΦT(K0) and found that in the frequency range of 10-3-3 × 10-3 c/s there is a maximum value vange of energy. Between the maximum value range and high-frequency range exists a sharp transitional band of energy. At past years some meteorologists usually considered that there is a gap in the meso-scale range of spectra. In this articale, it is shown that at meso-scale range, whenever in stable or unstable conditions there is a cyclic activity of time scale from several minites to more ten minites and it makes a great contribution to the energy. This phenomena may be of importance for the theoritical research of the atmospheric turbulence. Since in the atmosphere the spectral range is very wide, we must select correctly the length of mean time in the measurement of meteorological elements or other physical parameters to obtain their stable means.

声雷达可以直接测量温度脉动谱Φ_T(K_0)或温度结构系数C_T~2值。由于大气中谱的尺度很宽,在边界层大气中,用声雷达测得的Φ_T(K_0)或C_T~2是一个随机量,具有正偏态分布的特性,并满足对数正态分布。 从Φ_T(K_0)的频谱分析中得到,在频率为10~(-3)—3×10~(-3)秒~(-1)的范围内,存在着一个能量的峰值区,峰值和高频之间,能量的过渡带很陡。过去一般认为中尺度范围是大气谱段中能量的低值区。本文的分析发现,在中尺度范围内,无论在稳定或不稳定层结,经常存在着几分钟到十几分钟的周期活动,并对能量产生较大的贡献。这对今后大气湍流理论的研究,是一个值得注意的问题。此外,由于大气中谱尺度很宽,必须正确地选取气象要素或其它物理量的平均时间,才能获得稳定的气象要素的平均值。

Th tentative idea in this paper is to explore the applicability of the concept “probability fracture”in design.In strict sense,the safty factor used in conventional design has become confused.In fact,the fracture toughness K(?) of a material and the stress intensity factor are both the functions of random variables,so it would be appropriate to consider the fracture criterion and fatigue crackgrowth path as random variables and stochastic process.The reliability is accor-dingly considered as the probability...

Th tentative idea in this paper is to explore the applicability of the concept “probability fracture”in design.In strict sense,the safty factor used in conventional design has become confused.In fact,the fracture toughness K(?) of a material and the stress intensity factor are both the functions of random variables,so it would be appropriate to consider the fracture criterion and fatigue crackgrowth path as random variables and stochastic process.The reliability is accor-dingly considered as the probability of crack growth resistence K(?) exceeding srackgrowth drive K,i.e.R=P((?)>0)=integral from 0 to ∞(f(?)d(?))where (?)=K(?)-K.when the functions,K(?) ahd K conform to the normal distributonR=1/(?)∫integral from _(-μζ/σζ)to ∞ exP[-Z~2/_2]dZthe fundamentel equation for reliability design isZ=-μζ/σζ=-(μ_(Kc)-μ_K)/(?).In such a way the accurate exprssions for the mean and the standarddeviation of function of random variable K are obtained.In this paper,such kindof reliability analysis is sed for the leak-versure-rupture phenomenon of thinwalled pressure vessel of high strength steel with a surface flaw on it.The predicted rupture pressure is compared with the results of prototype rupture tests.The result shows the reliability design is better than the conventionalmethod.

本文尝试用可靠性设计概念去分析断裂力学K-准则。在裂纹扩展阻力K_C 和裂纹扩展驱动力K 是服从正态分布的随机变量函敉的情况,将可靠性看作是裂纹扩展阻力K_C 超过裂纹扩展驱动力K 的概率。从而得出可靠性设计基本方程式。并导出了作为多元随机变量函数K 的均值和标准偏差的精确表达式。对有表面裂纹的高强度钢制薄壁压力容器“先漏后爆”进行了可靠性断裂力学分析、予测了爆破压力,并与全尺寸爆破试验结果进行了比较。证明了可靠性指标是优越的。

 
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