Power series expansions for the distribution and mean value function of a geometric process with Weibull interarrival times

The geometric process is considered when the distribution of the first interarrival time is assumed to be Weibull. Its one‐dimensional probability distribution is derived as a power series expansion of the convolution of the Weibull distributions. Further, the mean value function is expanded into a power series using an integral equation. © 2014 Wiley Periodicals, Inc. Naval Research Logistics, 61: 599–603, 2014     

用非概率理论分析混合不确定性结构的可靠性

针对不确定性结构可靠性分析中的输入变量分布参数具有不确定性和输入变量为区间模型的混合不确定性结构展开研究。考虑到可用信息最少的情况,将分布参数的不确定性描述为区间模型。通过等概率转换方法将随机变量与其分布参数进行分离,使问题转化为随机与区间变量混合的可靠性问题,建立了混合不确定性问题的可靠性分析模型。基于非概率可靠性理论,建立混合不确定结构分析模型的二级极限状态函数并结合Kriging代理模型建立了高效的求解方法。将所建立的混合不确定模型应用于飞行器结构的不确定性分析中,验证了所建模型的合理性和所提方法的高效性和准确性。     

Bivariate models from univariate life distributions: A characterization cum modeling approach

Bivariate life distribution models are of importance for studying interdependent components. We present a generic approach by introducing a new concept of characterized model in stead of a characterized distribution. It strikes a balance between characterization and modeling approaches to eliminate their individual limitations and incorporate their respective strengths. The proposed model, being a characterized one, admits many important properties irrespective of the choice of marginal distributions. The retention of univariate IFR, DFR, IFRA, DFRA, NBU, and NWU class properties in the bivariate setup has been ensured along with some results on series combinations and convolution. No other models, available in the literature, can ensure simultaneous retention of these fundamental and extremely important class properties. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Exact likelihood inference for the exponential distribution under generalized Type‐I and Type‐II hybrid censoring

Chen and Bhattacharyya [Exact confidence bounds for an exponential parameter under hybrid censoring, Commun Statist Theory Methods 17 (1988), 1857–1870] considered a hybrid censoring scheme and obtained the exact distribution of the maximum likelihood estimator of the mean of an exponential distribution along with an exact lower confidence bound. Childs et al. [Exact likelihood inference based on Type‐I and Type‐II hybrid censored samples from the exponential distribution, Ann Inst Statist Math 55 (2003), 319–330] recently derived an alternative simpler expression for the distribution of the MLE. These authors also proposed a new hybrid censoring scheme and derived similar results for the exponential model. In this paper, we propose two generalized hybrid censoring schemes which have some advantages over the hybrid censoring schemes already discussed in the literature. We then derive the exact distribution of the maximum likelihood estimator as well as exact confidence intervals for the mean of the exponential distribution under these generalized hybrid censoring schemes. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

R-C系统中由表面散射引起的视场内杂散光分布

推导了R-C系统焦平面上由主镜和次镜表面散射引起的视场内杂散光分布的近似解析表达式.针对典型R-C系统的视场内杂散光分布,由近似表达式得到的计算结果与利用商业光学仿真软件得到的模拟结果具有较好的一致性,说明了近似表达式的正确性.与焦平面上无像差衍射光分布相比较,可以方便地分析强光入射时R-C系统焦平面上不同区域的饱和机制.研究结果表明,对于典型的R-C系统,探测器表面上以几何像点为中心,半径为2.5mm的范围内,衍射光是引起探测器饱和的主要因素;在此范围外,表面散射造成探测器的饱和.该结果为进一步研究强光饱和实验,解释有关现象提供理论分析基础.     

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     

基于独立分量分析和神经网络的钢结构损伤识别方法

为了有效剔除钢结构振动信号中的噪声,提取用于损伤识别的特征量,采用独立分量分析方法分离统计独立信号,同时得到表征结构损伤状态的混合矩阵,然后将混合矩阵作为特征量输入至神经网络进行训练,最后将训练好的神经网络作为分类器进行结构损伤识别.在冲击载荷作用下,针对钢框架结构模型进行了不同损伤部位的振动实验,结果表明:基于独立分量分析和神经网络的损伤识别方法具有较高的识别率和可重复性,而且实现简单,在结构损伤识别领域具有较大的应用潜力.     

静止条件下多种轨道-电枢形状的轨道炮电流分布仿真

针对等轨道截面、等炮口截面、等长度、等材料和等电流8种典型的轨道-电枢结构,在电枢速度为0 m／s的情况下,采用Ansoftl 2有限元分析软件,仿真分析电流分布特征,得到：矩形截面轨道一长方体结构电枢的轨道炮有最不均匀的电流分布特征,电流主要分布在轨道外表面和电枢后部凹表面,并且分别对应于趋肤效应和电流短路径聚集现象,跑道形截面的轨道一回转体结构电枢的轨道炮有最均匀的电流密度分布．     

小户型公寓设计与分析

公寓房是我军住房保障体系的重要组成部分,其中又以小户型公寓房为主体,加强小户型公寓的设计研究对提高其保障效能具有现实意义。解读军队公寓住房建筑设计方案竞赛一等奖作品,指出小户型公寓采用一梯两户多层的形式在营造营区环境、降低建筑全寿命费用、改善室内舒适度等方面具有比较优势;应合理分配小户型公寓房面积,适当提高卫浴和厨房所占面积比例,控制客厅和卧室规模;应在门厅空间布局与卫浴空间分室设置、储藏空间多样化、布置多用途小空间、管井集中出户等方面提高设计的精细化程度。     

PCA和ICA的舰船尾流后向散射光信号检测

水体的后向散射光信号是舰船尾流后向散射光信号检测的常见干扰,由于其在频域十分接近且信号强度大于尾流信号,因此严重影响了有用信号的提取。针对这一问题,提出了一种基于主成分分析(PCA)和独立成分分析(ICA)相结合的尾流散射光信号检测方法。首先使用主成分分析对采集的散射光信号进行降维,去除冗余成分,之后使用基于负熵的F astICA算法对数据进行处理,分离了水体和舰船尾流的散射光信号,通过实验验证了该算法的有效性。