查询词典 singular bivariate normal distribution

By the analysis for the characteristic of singular value of ideal signal and noise, it's pointed out that there is a big turning point in the singular value curve of ideal signal, but not in the one of noise, so the concept of curvature spectrum of singular value is proposed, which can effectively describe the turning point state of singular values of noisy signal.

分析了在Hankel矩阵方式下理想信号和噪声的奇异值特点，指出理想信号的奇异值曲线存在一个很大的转折点，而噪声的奇异值曲线则很平坦。

In the meantime, a new relation between the coefficient of variation for a normal variate and its sample size is achieved, where the probability to make mistake Ⅱ is considered 5 The probability distribution of fatigue strength at given life under large sample size determined by a new method is found to follow the log-normal distribution and normal distribution, and a new method are developed to estimate the characteristic parameters of probability distribution of fatigue strength from the probability distribution of traditional tensile properties.

根据P-S-N曲线的要求，采用概率统计方法，导出了考虑犯Ⅱ类错误的概率时获取给定精度P-S-N曲线所需的最少子样容量，引入了不同方法获取的P-S-N曲线结果是否趋同的判别标准，得到了P-S-N曲线的寿命求解法和系数求解法获得趋同结果的条件。 5）研究了大子样条件下指定寿命时疲劳强度的概率分布，并提出了根据拉伸性能的分布估算材料疲劳强度概率分布参数的一种方法。

When normal distribution of subordinate function was considered, we can further deduce fussy reliable formulas that forces and intensities were lognormal distribution, that forces and intensities were weibull distribution, that forces were exponential distribution and intensities were normal distribution, that forces and intensities were exponential distribution. 3. Coincide methods of skip-ratio curve were gotten by deducing and skip-ratio functions of standard road in common use was gotten by theoretic and algebraic calculation.

并以此为基础选取了广义而精确的正态分布隶属函数，进一步推导了应力和强度均为对数正态分布时的模糊可靠性公式、应力和强度均为威布尔分布时的模糊可靠性公式、应力为正态分布和强度为威布尔分布时的模糊可靠性公式、应力为指数分布和强度为正态分布时的模糊可靠性公式、应力和强度均为指数分布时的模糊可靠性公式。

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

This thesis mainly discuss following issues, Theory and simple expressions for array covariance matrixes are derived when angular spread functions are symmetric distribution functions, i. e. the Uniform distribution, the Gauss distribution, the Laplace distribution and the Von Mises distribution, and a non-symmetric distribution function, i. e. the Gamma distribution. And the relation between the effective signal subspace and the array number, or and the nominal angle of the distributed source, the angular spread, the distributed functions, and the Signal-to-Noise Ratio is gained. The dimension of the effective signal subspace increases with increment of the array number. And it is more obvious to the non-symmetric distribution. The dimension of the effective signal subspace decreases with increment of the nominal angle. And the distributed source is equal to a point source as θ=π/2. The dimension of the effective signal subspace increases with increment of the angular spread.

本论文针对阵列信号处理中广泛存在的分布源现象，主要讨论了以下问题：推导了角度分布函数分别为对称的均匀分布、高斯分布、拉普拉斯分布、Von Mises分布和非对称的伽马分布时，分布源阵列接收信号协方差阵的严格模型和简化模型，得到了单个分布源的有效信号子空间随阵元数、分布源中心角、分布角、角度分布函数和信噪比的变化规律：随着阵元数的增加，对所有角度分布函数的有效信号子空间维数也随着增加，且非对称分布函数的有效信号子空间充满整个空间的可能性更大；随着分布源中心角逐步增加，有效信号子空间维数逐步减小，当θ=π/2时，等价于点源情形；随着分布源分布角逐渐加大，有效信号子空间维数也随之增加，直到有效信号子空间充满整个空间；随着信噪比的增加，有效信号子空间维数有一定程度的减少。

At first, beginning with legal definition of power and right of distribution----the core concept of distributive institute, the paper analyses the characteristics of power and right of distribution, types and nature and legal attribute of it, proposed the concept of the power of distribution and the right of distribution, among them, the national power of distribution mainly include the planed regulatory power of GNP distribution, the distributive power of national finance, the power of taxation, the regulatory power of banking, the intervene power of price distribution etc. the distributive right of enterprise's income and the distributive right of resident's income are the main content of the right of distribution.

首先从作为分配法律制度核心范畴的分配权的法律界定入手，详细全面地分析了分配权的特征、类型划分、性质和部门法归属，提出了以调整国民收入分配关系为目标的国民收入分配的计划调控权、国家财政分配权、征税权、金融调控权、价格分配干预权等为主要内容的国家分配权力，以及以企业收入分配权、个人收入分配权为组成部分的分配权利的法律内容。

The safety margin of every slice is assumed to be normal distribution and the safety margin of two next slices is bivariate normal distribution.

将滑动面上的土体按等弧长划分为n个土条，假设每个土条的安全余量服从正态分布，相邻两个土条的安全余量则服从二元正态分布，根据土条破坏传播的概率，计算土坡渐进破坏的概率以及土坡中裂缝开展长度的期望值，并对算例的结果进行了讨论。

In this paper, univariate or/and bivariate binormal model was established and its parametrers was estimated by the"method of scoring". To calculate the statistical significance of the difference between two ROC curves using any one of three distinct statistical tests: the bivariate Chi-square test, the area z-score test, and the TPR z-score test.

本文探讨了单变量、双变量双正态ROC模型的构建及其参数的最大似然估计方法；采用双变量卡方检验、真阳性率z检验、面积z检验三种方法比较了ROC曲线间是否具有显著性差异。

Considering the key to the bivariate simple equation is innumerability and the high security, we use Schnorr's signature scheme and Wu et al.'s signature scheme, present a new multi-signature scheme based on the bivariate simple equation.

我们分析研究了基于Schnorr方案和吴挺等数字签名方案，提出了基于离散对数问题并以二元一次不定方程为基础的一个多重数字签名方案。

In chapter one, we review recent developments on bivariate distributions and bivariate copulas.

中文摘要在第一章，先回顾目前一些二元分布和二元机率结合函数相关的定义、主要定理，及目前的发展概况。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？