查询词典 probability function

In our model the probability density function of the jump size p is general. A closed series formula of the price is given by introducing some kind of Green function and the optimal exercise boundary of the perpetual put option is given by the smooth junction condition.

文章强调跳量的概率密度函数p是一般形式的，通过偏微分方程方法引入格林函数，给出永久美式看跌期权的价格，并通过自由边界条件给出最佳实施边界的显式表达式。

If mark the probability density function of continuous random variable X and continuous random variable leave each other, then when,there is , there is inverse function of .

Theorem 如果将连续型随机变量和连续型随机变量的概率密度函数分别记为，则时有：，这里是的反函数。

PSO is a population-based optimization algorithm, which mimics the social behavior of animals in a flock. It makes use of individual and group memory to update each particle position allowing global and local search optimization. The objective function considered was the total weight of the structure subjected to stresses, displacements and forces constraints. The effects of the parameters were investigated as well and such combination of tuning parameters promote a better global search behavior avoiding premature convergence while rapidly converging to the optimal solution. Results showed the effectiveness of the proposed method by comparing with ANSYS Design Optimization Tool (zero-order method). The PSO with the tuning parameters makes it an ideal method for offshore wind turbines foundations optimization tasks.(2) A reliability analysis method for pile foundation bearing axial loads based PSOThe performance function of pile foundation's axially bearing capacity sometimes is nonlinear and complex, on the basis of geometric meaning of structural reliability index, an optimum model with PSO for structural reliability analysis under arbitrary random variables was established, The PSO algorithm is very efficient to solve global optimization problemsIts use in structural reliability field presents not only the advantage of its facility of implementation, but also the possibility to obtain the design point and the failure probability with a good accuracy. In addition, PSO is a zero order algorithm, for no derivative is necessary for its implementation.

本文的研究针对桩式海上风机基础结构的特点，在国内外有关研究成果的基础上对海上风机基础结构优化设计理论和可靠度方法一些相关问题进行了较为深入的研究，具体做了以下几个方面的工作：(1)基于粒子群优化的桩式海上风机基础确定性优化设计方法桩式海上风机基础的优化设计是一个复杂的、非线性约束的优化问题，针对传统的基于梯度信息的优化方法在处理非线性问题中易陷入局部最优解的问题，本文将一种耦合惩罚函数的PSO算法引入到海上风机基础结构概念设计中，PSO算法是从群体动物聚集觅食这一活动中受到启发而发展的，该算法利用个体和群体的信息共享不断改进自身的位置从而进行局部和全局最优搜索，本文中以桩和三脚架连接段直径及壁厚为设计变量，以基础总重量作为优化的目标函数，在给定的约束条件下建立了三脚架基础优化数学模型，另外本文还研究了PSO参数变化对结果的影响，协调的参数组合可以避免陷入早熟收敛而能够快速的获得全局的最优解，通过与ANSYS优化模块的计算结果比较验证了该方法的有效性，本方法为海上风机基础的确定性设计提供了一条有效的途径。

From the statistical meaning of random load action, the cumulative distribution function and probability density function of equivalent load are developed according to the property of order statistics when load acts for many times.

从载荷作用的统计学意义出发，根据顺序统计量的性质，建立载荷多次作用时等效载荷的累积分布函数和概率密度函数。

119 4 And 0. 006 7, respectively. Both the failure probability density function and the cumulative distribution function can be presented by this degradation failure model.

所选的某型金属化膜脉冲电容器未知参数估计值为0.0001194和0.0067，将该值代入失效分布函数和概率密度函数中。

Firstly, with Gaussianizing filter being defined explicitly, a practical method on filtering performance evaluation is given. Secondly, two typical Gaussianizing filters are studied. One is called the U-filter, based on the probability density function and its derivate. The other is called the G-filter, based on the cumulative distribution function and its inverse. After implementation, mechanisms and performances of each filter are contrastively discussed, an example with lake trial is illustrated.

本文给出高斯化滤波的定义和效果评价方法，然后对比研究了基于概率密度函数及导数的U滤波和基于累积分布函数及反函数的G滤波两种高斯化实现方法、原理与性能，并使用一组测试数据刚试了它们各自的高斯化效果。

On the basis of Russenes method, the probability density function and membership function are deduced.

结合工程常用的Russenes岩爆判别法，推导出模型的概率密度函数和隶属函数形式。

Properties are discussed for a class of exponential sum function on recurrence relationship,integral formula,it has been proved that its curve configuration is single peak and it is a probability density,the application of this function is showed in proving equalities and a differential equation model of substance transform reaction.

对一类指数和函数的递推关系、积分公式、曲线的单峰形态等性质进行了讨论，证明了该函数为概率密度函数，并给出了该函数在等式证明、物质转化反应的微分方程模型等方面的应用。

According to the basic concept of Gamma function and Γ distribution,this paper gives out some expression including probability density,distribution function and basic numeric characteristic value.

依据Gamma函数及Γ分布的基本概念，给出了非均质性储层渗透率K的概率密度、分布函数以及基本数字特征的表达式。

The universal generating function can express the relation between system performance level and state probability, and use the u-functions of elements to obtain the u-function of system.

通用生成函数能够表达系统性能水平和状态概率之间的关系，并且可以方便地由元件的u函数获得系统的u函数。

I hope that this success is just the first in a long series.

我希望这只是成功的开始。

Three dimensional stresses on the interface of tire and soil, tire deflection and soil sinkage are measured.

测试轮胎——沙土界面上的三向应力、轮胎变形和沙土沉陷；建立考虑剪切应力对沙土承载特性产生影响的车轮牵引性能预测模型；分析车轮作用下土壤的纵向稳定性。