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This dissertation deals with theoretical and practical aspects of antithetic and common random numbers for variance reduction in simulation of stochastic systems.

本文对复杂系统仿真中的公共随机数和对偶变量法进行了系统的论述,给出了各种条件下实现方差衰减的理论和实验结果,给出了估计一对具有独立和相关分量的向量函数的响应和期望的最优化证明,且推导出在弱条件下的方差衰减。

Using a decomposition in canonical form, a multi-sensor distributed optimal fusion reduced-order filter for each state component is proposed based on the component fusion algorithm weighted by scalars in the linear minimum variance sense for descriptor discrete stochastic linear systems with multiple sensors. It requires in parallel the calculating of a series of scalar weights.

对带多个传感器广义离散随机线性系统,利用典范型分解,基于线性最小方差各分量按标量加权融合算法,给出了多传感器分布式最优分量融合降阶滤波器,它要求并行计算一系列标量权重。

Based on GSDE, an exact test of variance component is obtained by applying generalized p-value method.

同样地,证明了均方误差意义下方差分量矩阵的谱分解估计一致优于ANOVA估计。

ANOVA for detecting QTL effect and epistasis was studied. The statistic and genetic expectations of various variance components in different ANOVA were deduced.

研究了各类作图群体的QTL效应及互作检测的方差分析法,推导出了其各种方差分析中方差分量的生统遗传学期望。

By analyzing the random disturbance series of the classical time series model, the existence of autoregressive conditional heteroscedasticity effect is demonstrated by the Lagrange multiplier test, and the non-satisfaction of homoscedasticity of the classical model is discusse...

通过分析经典时间序列模型随机扰动分量,论证了自回归条件异方差效应的存在性,探讨了经典模型同方差假设不满足的问题。

A model for finding the cryptic period of hydrological time series is proposed. The functions of the model include to apply logarithm transformation for making the sequence more stationary, to construct a corresponding auto-regression model for reducing the herteroskedasticity of residual, to determine the component of the prime period by periodogram analysis.

本文在讨论水文时序平稳性和异方差性的基础上,提出了检测水文时序隐含周期的模型,即对水文时序设计对数变换序列,提高序列的平稳性;建立相应的自回归模型降低残差的异方差性;通过对所得平稳序列进行周期图分析确定可能的主周期分量。

Model for finding the cryptic period of hydrological time series is proposed. The functions of the model include to apply logarithm transformation for making the sequence more stationary, to construct a corresponding auto-regression model for reducing the herteroskedasticity of residual, to determine the component of the prime period by periodogram analysis.

bstract 本文在讨论水文时序平稳性和异方差性的基础上,提出了检测水文时序隐含周期的模型,即对水文时序设计对数变换序列,提高序列的平稳性;建立相应的自回归模型降低残差的异方差性;通过对所得平稳序列进行周期图分析确定可能的主周期分量。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现,利用水平梯度的复组合,即复数表示后,扰动重力场元复组合之间的协方差函数尽管还是各向异性,但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构,因而水平分量复组合的配置问题与重力异常的配置问题相似,可以利用傅立叶变换矩阵进行降阶处理。

The proposed algorithm first detects smooth intervals based on gray variance from the original frame sequence, then concatenates them to constructs a new frame sequence. After that, video features such as pixel-wise difference, HSV histogram difference and edge histogram difference are fed to a SVM classifier to decide the types of different shot boundaries.

第一级分类器根据视频帧灰度方差特征,将无明显变化的视频序列从原始视频序列中分离出去,得到一个新的视频序列;第二级分类器在新视频序列的基础上,提取视频图像的像素对差值、HSV空间颜色直方图的各分量差值以及边缘直方图X,Y分量差值等视频特征,并采用支持向量机多分类策略进行镜头边界类型的检测。

The fully inseparable bright tripartite entangled state was experimentally generated using the NOPA at deamplification and the linear optical system consisting of polarization beam splitters and half wave plates. The variances of the sum of the amplitude quadratures of the three obtained optical modes and the relative phase quadratures among them is respectively 3. 28dBm and 3. 18dBm below the corresponding Shot Noise Limit.

利用运转于参量反放大状态的NOPA和偏振分束棱镜及半波片,从实验上产生了完全不可分的明亮三组份纠缠态光场,所产生的纠缠态具有三模正交振幅分量和与相对正交位相分量差的起伏方差低于散粒噪声极限的特性。

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