关于正规变换函数性质的研究

正规变换函数是研究估计量的各类渐近性质的重要工具，在估计量的渐近性质研究中起着非常重要的作用。通过对正规变换函数性质的研究，利用概率统计的分析方法，对正规变换函数的性质做出更为深刻的刻画，推广了正规变换函数的性质，得到了正规变换函数的一系列好的性质，为极值理论领域中估计量及估计量各类性质的研究提供了有力的工具。     

作战任务总量的迭代收敛性

为降低作战任务的复杂度,提高任务执行效率,研究了作战任务总量及其迭代收敛问题.首先,采用图形和设计结构矩阵,阐明反导作战子任务的复杂联系.再引入任务转移矩阵建立任务总量模型,总结迭代收敛条件.最后,综合考虑资源和时间约束,规划子任务优先级并优化作战资源配置.结合实例分析了任务总量迭代收敛规律的可行性和有效性,为反导作战任务规划提供了理论指导.     

运动与血脂

血脂代谢异常是造成心血管等许多疾病的重要原因。运动能够不同程度的改善机体血脂状况。运动对血脂的影响包括几个方面,本文主要在运动对总胆固醇(TC)、甘油三脂(TG)、低密度脂蛋白(LDL-c)、高密度脂蛋白(HDL-c)、ApoA、ApoB的影响方面给予综述。     

大气对流层气体组分随高度变化的理论预期

利用大气对流层温度随高度变化的规律,采用局部平衡的多分子混合模型,从理论上论证了对流层气体组分随高度变化的规律,发现大气各主要成分体积分数、分子平均摩尔质量均随高度线性变化,并拟合数值计算结果得到了相关参数。氧气的相对体积分数随高度明显下降,而氮气的相对体积分数却明显上升;但是相比于温度随高度的变化,大气分子平均摩尔质量的改变可以忽略。该理论比以往其他模型预测大气压强随高度变化规律具有更自然、更接近实际的优势。     

双高速摄像机交汇的高旋弹丸位姿估计算法及误差分析

为了测量高旋弹丸在炮口处的各种信息,基于双高速摄像机交汇的测量方法,提出了一种新的弹丸位姿估计方法.对总攻角函数进行了误差建模与分析,结果表明两台高速摄像机的光轴应相互垂直,且应选择光轴远离攻角平面的高速摄像机所对应的测量函数计算总攻角,此时测量误差最小.以靶场实验的方式对攻角函数的误差分析结论和位姿估计算法进行验证....     

变异系数在可靠性中的应用

对使用变异系数描述随机变量的离散程度进行分析,推导了可靠性工程中常用的4种概率分布的变异系数与分布参数之间的关系.以机械产品整机及其零部件不同失效模式的寿命变异系数的取值范围为实例,说明了变异系数在可靠性工程中的应用.     

Data‐driven variation source identification for manufacturing process using the eigenspace comparison method

Variation reduction of manufacturing processes is an essential objective of process quality improvement. It is highly desirable to develop a methodology of variation source identification that helps quickly identify the variation sources, hence leading to quality improvement and cost reduction in manufacturing systems. This paper presents a variation source identification method based on the analysis of the covariance matrix of process quality measurements. The identification procedure utilizes the fact that the eigenspace of the quality measurement covariance matrix can be decomposed into a subspace due to variation sources and a subspace purely due to system noise. The former subspaces for different samples will be the same if the same variation sources dominate. A testing procedure is presented, which can determine the closeness of the subspaces under sampling uncertainty. A case study is conducted to illustrate the effectiveness of this methodology. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006.     

正规模糊测度空间上的条件期望

讨论了次可加、具有有界变差的正规模糊测度空间上关于模糊测度、内测度及模糊积分的性质，在此基础上定义了此模糊测度空间上随机变量的条件数学期望，它是相对于经典测度空间的一个推广。     

基于改进差分进化算法的内弹道参数优化

火炮内弹道参数直接影响其计算结果,内弹道参数优化设计是内弹道分析计算的重要环节。基于经典内弹道计算模型,以火药内弹道计算中最为敏感的燃速指数及其燃速系数为设计参量,以最大膛压及弹丸初速的计算值与测试值一致性为目标,对差分进化算法群体的初始化、变异因子及变异模式进行了改进,对某型火炮的内弹道参数进行了优化计算。优化设计结果表明改进后的差分进化算法满足内弹道设计工程实践要求,为内弹道参数优化设计提供了一种有效的算法。     

Convolutions and generalization of logconcavity: Implications and applications

Additive convolution of unimodal and α‐unimodal random variables are known as an old classic problem which has attracted the attention of many authors in theory and applied fields. Another type of convolution, called multiplicative convolution, is rather younger. In this article, we first focus on this newer concept and obtain several useful results in which the most important ones is that if is logconcave then so are and for some suitable increasing functions ?. This result contains and as two more important special cases. Furthermore, one table including more applied distributions comparing logconcavity of f(x) and and two comprehensive implications charts are provided. Then, these fundamental results are applied to aging properties, existence of moments and several kinds of ordered random variables. Multiplicative strong unimodality in the discrete case is also introduced and its properties are investigated. In the second part of the article, some refinements are made for additive convolutions. A remaining open problem is completed and a conjecture concerning convolution of discrete α‐unimodal distributions is settled. Then, we shall show that an existing result regarding convolution of symmetric discrete unimodal distributions is not correct and an easy alternative proof is presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 109–123, 2016