Bayesian sequential testing for Lévy processes with diffusion and jump components

We study the Bayesian problem of sequential testing of two simple hypotheses about the Lévy-Khintchine triplet of a Lévy process, having diffusion component, represented by a Brownian motion with drift, and jump component of finite variation. The method of proof consists of reducing the original optimal stopping problem to a free-boundary problem. We show it is characterized by a second order integro-differential equation, that the unknown value function solves on the continuation region, and by the smooth fit principle, which holds at the unknown boundary points. Several examples are presented.     

Monocrystal elastic constants in the ultrasonic study of welds

For studying welds ultrasonically, the importance of knowing the material's single-crystal elastic constants, the C_ijs, is explained. Where these constants are not known, some guidelines are given for estimating them from polycrystalline elastic constants such as Young's modulus and the shear modulus.The important case of [001] fibre texture is considered. Being transversely isotropic, this case exhibits five macroscopic elastic constants, which are related to the three cubic elastic constants: C₁₁, C₁₂, C₄₄. From these five constants the angular variations of Young's modulus, the torsional modulus, and the sound velocities can be computed. For the same [001] fibre texture, results are given for a standard well-characterized material — copper, where the C_ijs are well known.     

一种多光路光轴平行性检测系统

介绍一种用于检测多光路光电设备光轴平行性的测试系统,该系统采用准直平行光管提供无穷远目标,并融合了CCD图像采集处理和计算机技术,通过计算目标靶十字中心和激光光斑中心之间在CCD上的像素跨距,计算出红外、可见光以及激光三轴相互间的平行性误差,系统的计算误差小于5。     

Bayesian Variable Selection on Model Spaces Constrained by Heredity Conditions

This article investigates Bayesian variable selection when there is a hierarchical dependence structure on the inclusion of predictors in the model. In particular, we study the type of dependence found in polynomial response surfaces of orders two and higher, whose model spaces are required to satisfy weak or strong heredity conditions. These conditions restrict the inclusion of higher-order terms depending upon the inclusion of lower-order parent terms. We develop classes of priors on the model space, investigate their theoretical and finite sample properties, and provide a Metropolis–Hastings algorithm for searching the space of models. The tools proposed allow fast and thorough exploration of model spaces that account for hierarchical polynomial structure in the predictors and provide control of the inclusion of false positives in high posterior probability models.     

焊缝超声相控阵检测数据深度学习降噪方法

超声相控阵检测技术在焊缝检测中具有广泛的应用.超声相控阵检测技术检测信号中常混入噪声导致检测成像时难以分辨真实的缺陷特征.这些噪声主要为无关的反射信号和局部相关的结构噪声,传统的超声图像降噪方法难以有效滤除这些噪声,且存在计算效率低、参数优化复杂等问题.该文提出了一种基于深度学习的焊缝超声相控阵检测技术检测S扫图像的降...     

Large Deviation Probabilities for Square-Gaussian Stochastic Processes

We investigate properties of square-Gaussian stochastic processes. These processes are formed by quadratic forms of Gaussian processes or by limits in the mean square of quadratic forms of Gaussian processes. Special classes of these processes are determined and investigated. For processes from these classes estimates of large deviation probability are obtained. These estimates we use to estimate the probability that Gaussian vector-valued process leave some region on some interval of time. We construct asymptotic confidence regions for estimates of covariance functions of vector-valued Gaussian processes. Criterion of hypothesis testing on covariance functions of these processes is constructed.     

Determination of Chloride Content in Different Types of Cement Using Laser-Induced Breakdown Spectroscopy

The characterization and accurate determination of the chloride content in cement/concrete is very important for the assessment of the durability and safety of a concrete structure. The available analytical techniques are relatively expensive and time consuming. In this study, a laser-induced breakdown spectroscopy (LIBS) system was used for determination of elemental composition in three different types of cement samples. The plasma was generated by focusing a pulsed Nd: YAG laser at 1064 nm on the cement samples. The concentrations of different elements of significance for structural stability in cement samples were determined. The evaluation of the potential and the capabilities of LIBS as a rapid tool for characterization of cement samples is discussed. The optimum LIBS setup and experimental conditions to detect and measure chloride in building materials are reported. The LIBS results were compared with the results obtained using a standard analytical technique such as inductively coupled plasma emission spectroscopy (ICP–ES). The limits of detection were determined, and calibration curves were measured. The results of this investigation indicate the reliability of LIBS to characterize different cement samples and to assess the chloride content in these cements.     

Tests of ordered hypotheses in linkage in heredity

The asymptotic null distribution of the likelihood ratio test for two cases of ordered hypotheses in a particular genetic model is considered. A simple iterative process is proposed in order to get the restricted estimates. It is shown that both tests have asymptotically a chi-bar squared distribution and the same size. A simulation study is also conducted in order to compare the usual unrestricted test with the corresponding one of ordered hypotheses. Finally, the results are extended to some special cases.     

NaN_3对玉米萌发过程中超弱光子辐射的影响

为了解读植物种子萌发过程中超弱光子辐射信息的生物学意义,采用呼吸抑制剂NaN3处理萌发玉米种子,跟踪测量和分析了玉米种子萌发过程中超弱光子辐射中自发光子辐射和外界光诱导的延迟光子辐射的变化规律,同时研究了萌发玉米种子鲜质量的变化.结果发现,NaN3同步抑制了萌发玉米自发光子辐射和鲜质量的增长,造成萌发玉米延迟光子辐射的初始光子数和延迟光子辐射积分强度大幅度降低,相干时间减小.机理分析表明,NaN3对呼吸代谢电子传递链的抑制造成的自由基反应减弱是萌发玉米自发光子辐射减小的原因,自发光子辐射强度可以作为玉米萌发状态的信号,延迟光子辐射动力学参数的大小可以表征萌发玉米呼吸代谢的强弱,相干时间是种子细胞组织序性的量度,通过对萌发种子超弱光子辐射的采集和分析可以实现对萌发种子细胞代谢和功能状态变化的灵敏和无损检测.     

基于ARM的嵌入式超声传播时间测量装置

应用超声波检测技术进行检测时,通常需对超声波在介质中的传播时间进行精准的测量,为精准测量超声波的传播时间,设计了一套基于ARM的嵌入式超声传播时间测量装置。该装置电路运行稳定,成本低廉,采用多次测量结果取算数平均值的方法以减小随机干扰,采用参比方法放置接收探头以消减电路中电子器件的延时。通过对实验结果进行分析,得出该装置可精准测量超声波在实验试块中的传播时间且满足设计要求,分辨率可达一纳秒。