查询词典 limit distribution

The generalized central limit theorem shows that these heavy-tailed fluctuations accumulate to a stable probability distribution.

如果尾不是太厚，则方差是有限的，且我们可以找到常见的正态极限分布，即稳定分布一种特殊情况。

In Part two, it is proved that, the evolution strategy of uniform distribution for continuous functions, asymptotically converges to the global optimal solutions in probability, by using central limit theorem, under suitable conditions. Then a new kind of evolution strategies is proposed.

第二部分，针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的进化策略是依概率收敛的，然后给出了采用一般连续型随机变量作为变异算子的进化策略依概率收敛的证明。

Most of them rely on the central limit theorem, that states that the mean of N independent realizations of a random variable with mean u and variance d^2 approaches a normal distribution with mean u and variance d^2/N .

在蒙特卡罗评估框架内大量的各种选择性算法已经被推出，他们中的大部分依赖于中心极限定理，一个均值为U方差为D^2的随机变量的N次独立实现的平均值接近于一个均值为U方差为D^2/N的正态分布。

Second, On the basis of analysis of density distribution of sequence points on the chaotic orbit of one-dimension chaotic mapping, a mutative interval chaotic optimization algorithm is presented in search for the solution optimums of the non-linear constrained problems with multi-variables and multi-peak values. With the objective function probability measurement approaching a limit 1, the convergence of the algorithm on the global optimal solution is proofed by aid of Chebyshev inequality.

二、基于一维混沌映射混沌点集的概率测度分析，提出了一种适于解决多变量多峰值非线性约束问题的新的混沌优化算法——变区间混沌优化算法，并应用切比雪夫不等式论证了算法依概率收敛于全局最优解。

The phase of optical wave can be recovered by the intensity transport equation under the paraxial approximation For the optical system with diffraction limit, it is difficult to get the boundary radical slope of phase and sample in the circular domain boundary when using the intensity transport equation to recover the phase, consequently, we reviewed an algorithm mentioned in the reference ［4］, namely, the equation, computation domain and boundary condition are changed, then the phase is reconstructed by the multigrid method and corrected at last Moreover, the experiment system is set to testify the algorithm, and the recovered phase from the intensity data detected by CCD is compared with the result from phase retrieval algorithm, it is found that the phase reconstruction error can reach 017 λ in the case of non-uniform intensity distribution, as a result, the method is suitable for the phase recovery with low wavefront sensing accuracy.

在傍轴近似条件下，可以利用光强传播方程对畸变波前进行相位恢复。对于衍射受限的光学系统，很难获得相位的边界径向斜率值作为边界条件，此外，要获得精确的圆域边界采样值也并非易事。为了克服上述困难，进一步研究了相位恢复改进方法，即改变了方程的表示形式、计算区域和边界条件，并用多重网格法进行求解获得重构相位，最后再将其修正。为了验证算法的精确性，搭建了实验系统对算法进行实验验证，将由CCD探测的光强分布进行计算得到的相位分布与相位恢复算法的结果进行比较，证明在光强分布非均匀的情况下，该方法恢复的相位均方根误差能够达到017 λ，可以适用于波前传感精度要求不是很高的相位恢复。标签自适应光学相位恢复相位修正光强传播方程 adaptive optics phase retrieval phase correction intensity transport equation

The parameterized method of confidence limit s is established based on the theory of rank distribution.

通过引入位置参数，建立了能够同时描述浴盆曲线失效率和最大安全寿命的广义Weibull分布模型族，进而采用秩分布理论给出确定该寿命分布族置信限估计的参数化方法。

In the past, the confidence limit problem of three-parameter Weibull distribution has not been solved, so that the creditability of its result can not be guaranteed, that is, only the result that its creditability is equal to 50% can be obtained using old methods.

由于以往三参数威布尔分布的置信度问题一直没有解决，所以其结果的可信程度也就无法得到保证。此时，也可以说它只能给出可信程度为50％的结果。

Finally we studied the problem of the lower Bayesian confidence limit on the process capability index C_ The Jeffreys'non-informative prior distribution depending on Fisher's information is explored. The posterior distribution of C_is conducted.

最后，研究了C_pm指数置信下限的问题，通过Fisher信息阵确定Jeffrey无信息先验分布，推导出C_pm的后验分布，并据此采用最大后验密度方法构造了贝叶斯置信下限。

The APW in summer is less than 25 mm which is the least limit value of monsoon areas.This means that Xinjiang is not affected by monsoon.The geographic distribution of APW is adverse with that of precipitation,videlicet,higherAPW values corresponding to lower precipitation values.With the effects of westerly winds,the APW mode presents as an uniform change within Xinjiang area and has a stable distribution.It is very different from Xinjiang rainfall mode which changes a lot spatially.As mentioned above,there is no obvious change during 1961～2000,this indicates that APW is not a dominant factor determining precipitation,it is the result of dynamic condition,water vapor convergence and other causes.

APW的地理分布与实际降水量分布相反，其最大区域却为降水量最小区，受西风带影响，新疆APW模态主要表现全疆一致变化，分布稳定，与降水模态分布差异性大有显著不同，且近40年来无显著变化趋势，表明决定新疆降水差异的根本原因不在于水汽的多少，而是由降水产生的动力条件、水汽辐合和其它因素差异决定的。

And the effects of two kinds of bulge processes on the thickness distribution and forming limit were compared.It is concluded that proper application of forward-backward bulge can improve the uniformity of thickness distribution and greatly increase the formin...

结果表明，采用合理的正反胀形可以很好地改善成形件的厚度不均匀性并大大提高成形极限，实验验证了仿真和实验结果相吻合。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。