A result on hypothesis testing for a multivariate normal distribution when some observations are missing

Let U_i = (X_i, Y_i), i = 1, 2,…, n, be a random sample from a bivariate normal distribution with mean μ = (μ_x, μ_y) and covariance matrix

. Let X_i, i = n + 1,…, N represent additional independent observations on the X population. Consider the hypothesis testing problem H₀ : μ = 0 vs. H₁ : μ ≠ 0. We prove that Hotelling's T² test, which uses (X_i, Y_i), i = 1, 2,…, n (and discards X_i, i = n + 1,…, N) is an admissible test. In addition, and from a practical point of view, the proof will enable us to identify the region of the parameter space where the T²-test cannot be beaten. A similar result is also proved for the problem of testing μ_x ? μ_y = 0. A Bayes test and other competitors which are similar tests are discussed.     

Chapter 8 Estimating production frontier shifts: An application of DEA to technology assessment

Evaluating the separate impacts of factors which affect the productive efficiency of organizations is difficult. This is because the impact of a factor is often contingent on other organizational, managerial or environmental characteristics. Standard econometric methods are limited in their ability to discriminate between efficient and inefficient units, and often impose considerable structure in parametrically specified functional forms. We show how a nonparametric data envelopment approach can be employed to focus on the best that can be achieved, with and without the key characteristic of interest. We illustrate the approach with real data from the service sector requiring the evaluation of the impact of a new information technology. The analytical technique estimates the annual savings in materials cost for an average store using the information technology to be over $4,000 (2.04% of materials cost), well in excess of the amortized annual cost for its installation. Establishing the separation in the production frontier in different regions, we show that the information technology had a substantially larger impact for the bigger stores. The savings were about 80% greater in the larger volume stores than in the smaller volume operations, an important consideration in setting the priorities for installation. The illustration underscores the flexibility of DEA in detecting different impacts of a new technology in different environments.     

Observational Constraints with Recent Data on the DGP Modified Gravity

We study one of the simplest covariant modified-gravity models based on the Dvali-Gabadadze-Porrati (DGP) brane cosmology, a self-accelerating universe. In this model gravitational leakage into extra dimensions is responsible of late-time acceleration. We mainly focus on the effects of the model parameters on the geometry and the age of universe. Also we investigate the evolution of matter density perturbations in the modified gravity model, and obtain an analytical expression for the growth index, f. We show that increasing leads to less growth of the density contrast δ, and also decreases the growth index. We give a fitting formula for the growth index at the present time and indicate that dominant term in this expression verifies the well-known approximation relation f≃Ω _m ^γ . As the observational test, the new Supernova Type Ia (SNIa) Gold sample and Supernova Legacy Survey (SNLS) data, size of baryonic acoustic peak from Sloan Digital Sky Survey (SDSS), the position of the acoustic peak from the CMB observations and the Cluster Baryon Gas Mass Fraction (gas) are used to constrain the parameters of the DGP model. We also combine previous results with large scale structure formation (LSS) from the 2dFGRS survey. Finally to check the consistency of the DGP model, we compare the age of old cosmological objects with age of universe in this model.     

离轴三反空间相机外遮光罩组件的研制

杂散光抑制对提高空间相机的成像品质起着至关重要的作用。通过合理地设置外遮光罩可以有效地抑制杂散光。为了满足空间相机外遮光罩轻质、高刚度、高强度和高尺寸稳定性的要求,选取增强基碳纤维复合材料作为空间相机外遮光罩的材料,并提出了相机主支撑结构与外遮光罩独立安装的设计思想,从而最大限度地降低了外遮光罩变形对光学元件尺寸稳定性的影响。利用有限元分析技术对外遮光罩结构进行了热特性及动态特性分析,并对结构参数进行了优化设计,最终得到了质量为5.2kg、一阶固有频率为113Hz的外遮光罩结构。动力学试验测试结果表明,外遮光罩一阶谐振频率为106.8Hz,在正弦振动和随机振动试验中加速度放大倍率小于10倍,最大应力为86.6MPa,远远小于碳纤维复合材料屈服应力,结构刚度、强度完全满足设计指标要求。     

Tests for normality based on density estimators of convolutions

Recent results show that densities of convolutions can be estimated by local U-statistics at the root-n rate in various norms. Motivated by this and the fact that convolutions of normal densities are normal, we introduce new tests for normality which use as test statistics weighted L₁-distances between the standard normal density and local U-statistics based on standardized observations. We show that such test statistics converge at the root-n rate and determine their limit distributions as functionals of Gaussian processes. We also address a choice of bandwidth. Simulations show that our tests are competitive with other tests of normality.     

L波段端面发射高效率磁绝缘线振荡器

 建立了磁绝缘线振荡器自磁绝缘的理论模型,给出了磁绝缘电流计算公式。然后给出了非线性稳态的最大轮辐电流计算公式,并据此分析了负载限制型磁绝缘线振荡器的最大效率。提出一种新型的端面发射型磁绝缘线振荡器,在二极管电压590 kV,二极管电流为55.47 kA情况下,粒子模拟得到周期平均功率6.1 GW左右,工作主频为1.24 GHz,束波转换效率18.64%左右。端面发射型磁绝缘线振荡器的效率比负载限制型磁绝缘线振荡器的最大效率提高6%左右。端面发射的电流不参与束波互作用,由于端面发射的电流比较小,在总电流不变的情况下参与束波互作用的电流增多,从而提高了效率。最后分析了角向磁场的分布以及自磁绝缘的情况。     

单层n型MoS2/p型c-Si异质结太阳电池数值模拟

单层二硫化钼(MoS₂)是一种具有优异光电性能的半导体材料,在太阳能能量转换中表现出很大的应用潜力。本文基于AMPS模拟软件,对单层n型MoS₂/p型c-Si异质结太阳电池进行了数值模拟与分析。通过模拟优化,n型MoS₂的电子亲和能为3.75 eV、掺杂浓度为10¹⁸ cm^-3,p型c-Si的掺杂浓度为10¹⁷ cm^-3时,太阳电池能够取得最高22.1%的转换效率。最后模拟了n型MoS₂/p型c-Si异质结界面处的界面态对太阳电池性能的影响,发现界面态密度超过10¹¹ cm^-2·eV^-1时会严重影响太阳电池的光伏性能。     

钢构件应力集中区低周疲劳分析及实验研究

针对两个具有应力集中区的特定钢构件的低周疲劳问题进行理论分析和实验研究。文中提出了一套低周疲劳分析的相关近似方法 :由材料静力参数估算其疲劳参数 ,并利用实验数据加以修正 ,获得了循环应力 -应变曲线和应变 -疲劳寿命曲线 ;进而把非线性有限元法和局部应力应变分析结合在一起计算疲劳寿命。理论结果和实验结果作了比较 ,从而证明本文提出的分析方法是行之有效的。     

地下强爆炸诱发地表塌陷的试验模拟与应用

地下核爆炸后会在地表产生下陷弹坑、塌陷带等不可逆变形爆炸后效应,利用地表形变信息对地下核试验进行有效监控和评估具有十分重要的意义。基于考虑重力影响的地下强爆炸塌陷成坑相似理论,利用陆军工程大学自主研制的地下爆炸效应真空室模拟试验装置,对2017年9月3日朝鲜地下核试验诱发的地表不可逆变形进行了模型试验。试验结果表明,地表塌陷带半径为257 m,下陷弹坑的半径为154 m,与美国、前苏联等国家已有的地下核试验经验公式的数据结果基本相当,并且符合天基雷达TS-InSar卫星监测数据的估算结果,验证了地下爆炸真空室模型试验在地下强爆炸诱发地表不可逆变形区域模拟和评估的可行性,成为有效补充地震波和卫星监测地下强爆炸的一种研究手段。     

The Optimal Power Allocation for Sum Rate and Energy Efficiency of Full-Duplex Two-Way Communication Network

Full-duplex (FD) transmission holds a great potential of improving the sum data rate of wireless communication systems. However, the self-interference introduced by the full-duplex transmitter brings a big challenge to enhance the energy efficiency. This paper investigates the power allocation problem in a full-duplex two-way (FDTW) communication network over an OFDM channel, aiming at improving the sum data rate and energy efficiency. We first characterize the sum rate and energy efficiency achieved in a single-carrier FDTW system. The optimal transmit power that achieves the maximal sum data rate is presented. The energy efficiency maximization problem is solved by using fractional programming. Then we further formulate sum rate and energy efficiency maximization problem in a multi-subcarrier FDTW system. In particular, the sub-optimal transmit power allocation which achieves a decent sum rate improvement is found by using a proposed iterative algorithm. By combining the iterative algorithm and fractional programming, we further maximize the energy efficiency of the multi-subcarrier system. With our proposed algorithm, we can easily obtain an optimal transmit power that approximates the global optimal solution. Simulation results show that using the obtained optimal transmit power allocation algorithm can significantly improve the sum rate and energy efficiency in both single-carrier and multi-subcarrier systems.