A spatial rank‐based multivariate EWMA control chart

Nonparametric control charts are useful in statistical process control when there is a lack of or limited knowledge about the underlying process distribution, especially when the process measurement is multivariate. This article develops a new multivariate self‐starting methodology for monitoring location parameters. It is based on adapting the multivariate spatial rank to on‐line sequential monitoring. The weighted version of the rank‐based test is used to formulate the charting statistic by incorporating the exponentially weighted moving average control scheme. It is robust to non‐normally distributed data, easy to construct, fast to compute and also very efficient in detecting multivariate process shifts, especially small or moderate shifts which occur when the process distribution is heavy‐tailed or skewed. As it avoids the need for a lengthy data‐gathering step before charting and it does not require knowledge of the underlying distribution, the proposed control chart is particularly useful in start‐up or short‐run situations. A real‐data example from white wine production processes shows that it performs quite well. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 91–110, 2012     

刚性夹杂双周期分布的反平面问题

在遵循复合材料中各夹杂相互影响的条件下,构造呈双周期分布且相互影响的椭圆形刚性夹杂模型的复应力函数,采用复变函数的依次保角映射方法,达到满足各个夹杂的边界条件,利用围线积分将求解方程组化为线性代数方程组,推导出了椭圆形刚性夹杂呈双周期分布的界面应力解析表达式,并讨论了夹杂间距对界面应力最大值（应力集中系数）的影响规律,描绘出了曲线。     

COSMIC掩星电子密度廓线的质量检核

利用COSMIC掩星任务自2010年至2014年的电离层电子密度廓线,使用只考虑廓线自身特性的4种参数进行质量检核,并对廓线质量的时空分布进行分析。发现在廓线质量的空间分布上,廓线不合格率在高纬地区最高,其次是低纬地区,在中纬地区最低,这可能与电子密度分布在磁赤道附近存在赤道异常、两极地区的磁场强度最大有关。廓线质量的季节变化较明显,在南、北半球,冬、春两季的廓线不合格率均显著高于夏、秋两季。另外,廓线质量具有一定昼夜分布特性,不合格率白天明显较夜晚低,且在晨昏分界线上变化较大。合格廓线的电子密度峰值和峰值高度分布在磁赤道附近明显高于其他区域,呈现"双驼峰"现象。     

多碱光电阴极饱和机理研究

多碱光电阴极饱和机理的研究对于提高阴极电子发射能力具有重要意义。依据光电阴极三步电子发射理论,采用蒙特卡洛法研究了多碱光电阴极的电子发射过程。研究结果与相关文献中的实验数据进行了对比分析,光子能量临近光电阴极响应阈值附近时,得到的量子效率曲线以及电子能量分布曲线与实验数据吻合良好。基于上述模型,研究了光压效应和空间电荷效应对多碱光电阴极电子发射特性的影响。结果表明,多碱光电阴极在光压效应限制下的阈值饱和激光能量密度约为8μJ/cm~2,在空间电荷效应限制下的阈值饱和激光能量密度约为2. 23μJ/cm~2。开展了266 nm激光辐照多碱光电阴极实验,经测量,多碱光电阴极的阈值饱和激光能量密度约为2μJ/cm~2,这表明空间电荷效应是限制其光电子发射能力的主要因素。     

成败型产品验收试验方案研究

在可靠性定型试验的基础上,利用多层贝叶斯方法确定批产品可靠性指标的先验分布,从而制定出成败型产品可靠性验收试验的一种贝叶斯方案.给出利用定型试验信息确定产品可靠性指标先验分布的方法.这种验收方法充分利用了产品定型试验中的先验信息,在确保有较好验收效果的前提下,与传统的验收试验相比,可以大大减少试验量,从而得到可观的经济效益.     

A general model of heterogeneous system lifetimes and conditions for system burn‐in

Burn‐in is a technique to enhance reliability by eliminating weak items from a population of items having heterogeneous lifetimes. System burn‐in can improve system reliability, but the conditions for system burn‐in to be performed after component burn‐in remain a little understood mathematical challenge. To derive such conditions, we first introduce a general model of heterogeneous system lifetimes, in which the component burn‐in information and assembly problems are related to the prediction of system burn‐in. Many existing system burn‐in models become special cases and two important results are identified. First, heterogeneous system lifetimes can be understood naturally as a consequence of heterogeneous component lifetimes and heterogeneous assembly quality. Second, system burn‐in is effective if assembly quality variation in the components and connections which are arranged in series is greater than a threshold, where the threshold depends on the system structure and component failure rates. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 364–380, 2003.     

基于贝叶斯混合博弈的空袭火力资源分配决策模型

从博弈论的角度出发研究空袭火力资源的分配问题,针对空袭编队和防空火力单元攻防对抗过程中存在的不确定性、静态性以及动态性,建立基于贝叶斯混合博弈的空袭对抗火力分配模型。通过构造贝叶斯混合博弈树,采用逆向回溯法分别建立不同的博弈分析模型,利用混合粒子群算法求解那什均衡。仿真结果表明:以博弈论为背景研究空袭作战火力分配问题,符合真实的作战坏境,有效性好,有较高的理论应用价值。     

TEDS技术在加速度传感器数据校正中的应用

提出一种利用传感器电子数据表格技术改善加速度传感器动态性能的办法。传感器标定时，其相关的特征参数被储存在传感器电子数据表格中；测试初始化时，每个传感器的特征参数被读入测试系统，指导系统自动完成其数学模型的建立，并在测试时进行实时数据校正。实验证明传感器电子数据表格技术的引入提高了加速度传感器的工作频带带宽和动态响应速度等动态性能指标。     

Estimating failure time distribution and its parameters based on intermediate data from a Wiener degradation model

Instead of measuring a Wiener degradation or performance process at predetermined time points to track degradation or performance of a product for estimating its lifetime, we propose to obtain the first‐passage times of the process over certain nonfailure thresholds. Based on only these intermediate data, we obtain the uniformly minimum variance unbiased estimator and uniformly most accurate confidence interval for the mean lifetime. For estimating the lifetime distribution function, we propose a modified maximum likelihood estimator and a new estimator and prove that, by increasing the sample size of the intermediate data, these estimators and the above‐mentioned estimator of the mean lifetime can achieve the same levels of accuracy as the estimators assuming one has failure times. Thus, our method of using only intermediate data is useful for highly reliable products when their failure times are difficult to obtain. Furthermore, we show that the proposed new estimator of the lifetime distribution function is more accurate than the standard and modified maximum likelihood estimators. We also obtain approximate confidence intervals for the lifetime distribution function and its percentiles. Finally, we use light‐emitting diodes as an example to illustrate our method and demonstrate how to validate the Wiener assumption during the testing. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

布尔函数的Walsh谱绝对值分布及其性质研究

提出并研究了布尔函数的Walsh谱绝对值分布.指出布尔函数Walsh谱绝对值分布在仿射变换下的不变性,计算了n(n≤5)元布尔函数的Walsh谱绝对值分布,研究了Walsh谱绝对值分布与Walsh谱支撑和Walsh谱中非零取值个数以及其他一些密码学难题的联系,最后研究了布尔函数的Walsh谱绝对值分布的大小.