Discriminant analysis for locally stationary processes

In this paper, we discuss discriminant analysis for locally stationary processes, which constitute a class of non-stationary processes. Consider the case where a locally stationary process {X_t,T} belongs to one of two categories described by two hypotheses π₁ and π₂. Here T is the length of the observed stretch. These hypotheses specify that {X_t,T} has time-varying spectral densities f(u,λ) and g(u,λ) under π₁ and π₂, respectively. Although Gaussianity of {X_t,T} is not assumed, we use a classification criterion D( f:g), which is an approximation of the Gaussian likelihood ratio for {X_t,T} between π₁ and π₂. Then it is shown that D( f:g) is consistent, i.e., the misclassification probabilities based on D( f:g) converge to zero as T→∞. Next, in the case when g(u,λ) is contiguous to f(u,λ), we evaluate the misclassification probabilities, and discuss non-Gaussian robustness of D( f:g). Because the spectra depend on time, the features of non-Gaussian robustness are different from those for stationary processes. It is also interesting to investigate the behavior of D( f:g) with respect to infinitesimal perturbations of the spectra. Introducing an influence function of D( f:g), we illuminate its infinitesimal behavior. Some numerical studies are given.     

多值逻辑函数的扩散性质

对多值逻辑函数的扩散性进行了研究，采用多值逻辑函数的Chrestenson循环谱分别给出了满足PC(k)、PC(k)／m和EPC(k)／m的多值逻辑函数之充要条件，并给出了二次P值逻辑函数满足PC(k)／m和EPC(k)／m的充要条件．     

Limit analysis and conic programming: ‘porous Drucker–Prager’ material and Gurson's modelAnalyse limite et optimisation conique : étude d'un matériau de Drucker–Prager poreux

Extending a previous work on the Gurson model for a ‘porous von Mises’ material, the present study first focuses on the yield criterion of a ‘porous Drucker–Prager’ material with spherical cavities. On the basis of the Gurson micro-macro model and a second order conic programming (socp) formulation, calculated inner and outer approaches to the criterion are very close, providing a reliable estimate of the yield criterion. Comparison with an analytical criterion recently proposed by Barthélémy and Dormieux—from a nonlinear homogenization method—shows both excellent agreement when considering tensile average boundary conditions and substantial improvement under compressive conditions. Then the results of an analogous study in the case of cylindrical cavities in plane strain are presented. It is worth noting that obtaining these results was made possible by using mosek, a recent commercial socp code, whose impressive efficiency was already seen in our previous works. To cite this article: M. Trillat et al., C. R. Mecanique 334 (2006).     

《军用通信设备通用规范》中B组检验合格判据的讨论

本文针对GJB367A-2001《军用通信设备通用规范》B组检验中的第二条判决标准进行了分析,对采用样本缺陷数替代每百单位产品缺陷数进行了探讨。     

高次数弹性函数的构造

给出了一种直接构造弹性函数的方法, 得到了次数大于m的n个输入m个输出弹性度为t的函数,并且在相同次数下得到了目前非线性度最高的函数,而且满足扩散准则同时给出了它的计数。用这种方法构造的弹性函数易于计算机实现。     

伞形序约束下参数的一个广义信息准则

The detection of the configuration of parameters is one of the most important problems im statistical studies. It is well known that the Akaike‘s information criterion (AIC) is a key tool for this problem (see [1]). Usually, the AIC is defined as: AIC(μ^) := l(μ^) -p, where l(μ^) is the log-likelihood with the maximum likelihood estimator (MLE) μ for μ,     

Arch Failure in Sandstone in the Case of Nonlinear Flow

A mathematical model of elastic--plastic deformations and stability of sand in a compacted zone around a perforation with a nonlinear flow is developed for a gas well. Laser processing of porous materials is accompanied by similar problems too. The stresses in porous material and the effect of flowing fluids have been analyzed theoretically. The criteria describing stability of sand arches are given. Critical rates of production are found that do not result in destruction of the reservoir near the perforation opening by tensile and shear stresses. The influence of variable permeability on the stability of the arches around the perforations has been studied. The significant influence of water on elastic–plastic deformation and destruction of sand arches is shown within the approach of constant saturation. The results are obtained for both fluid production from the well and gas injection into the reservoir. The conditions of arch stability near the perforated opening are always fulfilled with fluid injection.     

粒子束对玻姆鞘层判据的影响

在一维平板鞘层中应用双流体模型在有无碰撞两种情况下分别研究了定向离子束和定向电子束的存在对玻姆鞘层判据的影响.研究所涉及的碰撞主要有电荷交换碰撞、电离碰撞和总能量损失碰撞.工作气体是氩气，气压是常压.通过采用四阶龙格-库塔法，得到了数值解.结果表明定向离子束能减小漂移离子进入鞘层的最小速度，电荷交换碰撞也能减小这一速度；定向电子束使这一速度增加，与定向电子束相关的电离碰撞却使这一速度大幅度降低. 关键词： 双流体模型 玻姆鞘层判据 碰撞     

基于预测油价的风险控制决策分析

本文是在建立和求解某石油集团公司针对某种油品的高、中、低三种预测价格的风险型决策模型中，提出了基于风险偏好控制的最大收益原则的决策方法，并进一步讨论了这种决策方法的优势所在。     

Separability of Pure and Mixed States of the Quantum Network of Four Nodes

This article discusses the separability of the pure and mixed states of the quantum network of four nodesby means of the criterion of entanglement in terms of the covariance correlation tensor in quantum network theory.