Bahadur efficiency and robustness of studentized score tests

We derive the exact Bahadur slopes of studentized score tests for a simple null hypothesis in a one-parameter family of distributions. The Student's t-test is included as a special case for which a recent result of Rukhin (1993, Sankhy Ser. A, 55, 159–163) was improved upon. It is shown that locally optimal Bahadur efficiency for one-sample location models with a known or estimated scale parameter is attained within the class of studentized score tests. The studentized test has an asymptotic null distribution free of the scale parameter, and the optimality of likelihood scores does not depend on the existence of a moment generating function. We also consider the influence function and breakdown point of such tests as part of our robustness investigation. The influence of any studentized score test is bounded from above, indicating certain degree of robustness of validity, but a bounded score function is needed to cap the influence from below and to ensure a high power breakdown point. We find that the standard Huber-type score tests are not only locally minimax in Bahadur efficiency, but also very competitive in global efficiency at a variety of location models.     

Xe54+离子与Xe原子碰撞过程中的辐射电子俘获及退激发辐射的理论研究

基于多组态Dirac-Fock理论方法和冲量近似, 对Xe⁵⁴⁺与Xe在197 MeV/u碰撞能量下, 炮弹离子的俘获及退激发过程进行了理论研究. 计算了炮弹离子从中性靶原子俘获一个电子到nl (n=1, 2, 3, 4, 5; l=s, p, d) 轨道上的辐射电子俘获截面和相应的辐射光子能量, 以及俘获末态退激发辐射跃迁的能量和概率. 结合这些计算结果, 进一步模拟了碰撞产生的炮弹离子的退激发X射线谱的结构, 并与兰州重离子加速器装置上的最新实验观测结果进行了比较, 符合得很好.     

O(1D)和CD4反应的准经典轨线

在新的全域势能面上, 用准经典轨线方法细致地研究了O(¹D)+CD₄多通道化学反应的动力学．这个势能面是用交换不变多项式方法基于MRC+Q/aug-cc-pVTZ从头算点拟合得到的．通过计算得到了产物OD+CD₃、D+CD₂OD/CD₃O和D₂+DCOD/D₂CO的分支比、平动能分布以及角度分布,结果显示理论与实验吻合得较好, 从而说明了这个反应的同位素取代效应很小． 研究表明,O(¹D)+CD₄反应是经过陷入的抽取机理发生的： 最初主要通过D原子的抽取,并不是之前人们认为的直接C-D键的插入形成CD3OD中间物后再进而解离成各个产物通道．     

环境扫描电镜及其应用

叙述了环境扫描电镜（ＥＳＥＭ）的成像原理———电子信号气体放大原理及其与常规扫描电镜（ＳＥＭ）的区别，介绍了我国第一台带高温台的ＥＳＥＭ．综述了近年来国外学者应用ＥＳＥＭ开展的一些研究工作．介绍了中国科学院化工冶金研究所应用ＫＹＫＹ１５００型ＥＳＥＭ对金属表面氧化反应中晶须／晶粒生长过程的研究     

激光二极管泵浦腔内倍频Nd：YVO4／KTP绿光噪声研究

从实验上测量了Ｎｄ：ＹＶＯ４／ＫＴＰ腔内激光器绿光噪声和腔长、泵浦功率的变化关系，并从理论上进行了分析计算、，找出多纵模情况下影响绿光噪声大小的关键因素。理论计算与实验结果相一致。     

ACOUSTIC INVERSE METHOD FOR MEASURING THE SIZE-DISTRIBUTION OF THE DROPS AND THE MOISTURE CONTENT IN WATER (CLOUD) FOG

The acoustic-energy loss was measured when the sound wave propagated through a layer of water fog. By the application of the sound attenuation theory in granular media and by means of the acoustic inverse (optimization) method, the size-distribution of the drops and the moisture content in the water fog were measured. It is demonstrated that the sizes of the water drops obey the normal distribution approximately. Comparison of the size-distribution results between data obtained by the inverse measurements and those obtained by the optic-microscopic-size methods shows good agreement with each other. The results of the moisture content and the thickness of the fog layers obtained by this method are also consistent with the results measured by other methods (for example, the water-content weight and the direct measurement of layer's thickness by a scale, etc.) reasonably.     

不同切型BaTiO3晶体二波耦合特性研究

分析了光折变晶体的电光系数对二波耦合特性的影响,二波耦合能量转移方向不仅依赖于晶体中光生载流子的电荷符号以及入射光与晶体ｃ轴的相对取向,而且依赖于晶体光系数各分量的相对大小;这种特性别明显地表现在相向二波耦合作用中。     

Rayleigh-Schrödinger perturbation theory for electron-phonon interaction in two dimensional quantum dots with asymmetric parabolic potential

Within the framework of the second-order Rayleigh-Schr?dinger perturbation theory, we investigate the effects of the interaction of the electron and longitudinal-optical phonons in two-dimensional semiconductive quantum dots with respect to a general potential. We propose a simple expression for the ground state energy, and compare it with those obtained by Landau-Pekar strong coupling theory. It is shown both analytically and numerically that the results obtained from the second-order Rayleigh-Schr?dinger perturbation theory could be better than those from Landau-Pekar strong coupling theory when the coupling constant is sufficiently small. Moreover, some interesting problems, such as polarons in quasi-one-dimensional quantum wires, and quasi-zero-dimensional asymmetric or symmetric quantum dots can be easily discussed only by taking different limits. After the numerical calculations, we find that there exists a simple dimensional scaling and symmetry relation for the ground state polaron energy. Furthermore, we apply our results to some weak-coupling polar semiconductors such as GaAs, CdS. It is shown that the polaronic effects are found to be quiet appreciable if the confinement lengths and smaller than a few nanometers. Received: 3 December 1997 / Revised: 6 July 1998 / Accepted: 17 September 1998     

光学元件的激光损伤问题

光学元件是各类激光系统不可或缺的光学功能实现部件,其性能决定了激光系统的输出能力和光束质量。光学元件的激光损伤问题从激光发明起就一直伴随着激光技术的发展,随着激光新技术的发展和激光新应用的牵引,激光的波段、脉冲宽度以及重复频率等参数不断拓宽,使得激光损伤问题更加复杂,但万变不离其宗,激光损伤问题的核心是光学元件或光学材料对激光的吸收机制问题。从激光与光学材料相互作用的基本原理出发,以惯性约束聚变（ICF）激光驱动器应用的典型光学材料和光学元件为研究对象,回顾了针对光学元件的激光损伤问题开展的科研工作,总结了在此期间形成的关键技术和里程碑进展,同时也对依然困扰该领域的几类光学元件存在的问题瓶颈以及进一步研究发展趋势进行了展望。     

2-巯基-5-甲基苯并咪唑振动光谱的密度泛函理论研究

本文选用密度泛函理论中的B3LYP杂化泛函,在B3LYP/6-311++G(d, p)水平下,优化了2-巯基-5-甲基苯并咪唑分子(MMBI)的结构,优化结果表明,2-巯基-5-甲苯并咪唑分子是一个近平面结构.通过频率计算,获得了2-巯基-5-甲基苯并咪唑分子(MMBI)的拉曼光谱,并和实验获得的拉曼光谱图进行了对比,实验和理论计算获得的拉曼光谱图基本上是一致的,表明本文选取的DFT理论计算方法是可靠的.结合VEDA4软件对2-巯基-5-甲基苯并咪唑分子的拉曼谱带简正振动模式进行了指认.此外,分析并讨论了2-巯基-5-甲基苯并咪唑分子(MMBI)前线轨道,HOMO和LUMO轨道能级差为4.51 eV,电子有从HOMO跃迁到LUMO的趋势.采用含时密度泛函理论(time dependent density functional theory, TDDFT)对2-巯基-5-甲基苯并咪唑分子(MMBI)的激发态进行了计算分析,计算结果表明乙醇溶剂中2-巯基-5-甲基苯并咪唑分子(MMBI)理论计算的吸收波长为226 nm, 288 nm.对研究2-巯基-5-甲基苯并咪唑分子的性质,提供了理论...