基于Fiducial推断的Bayes验前分布的表示

先验分布的确定与表示是Bayes统计推断的出发点和关键点。提出了一种基于信仰推断 (FiducialInfer ence)观点确定Bayes先验分布的设想 ,有助于解决无验前信息或验前历史信息较少时先验分布的确定问题 ,文中给出了一个实例说明了该方法的应用     

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     

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.     

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.     

海面空-空无线信道特征

针对海上远距通信场景,基于无人机之间的无线通信链路,对接收功率进行实际测量。在大尺度路径损耗方面,采用对数距离线性模型进行拟合,分析海上远距空-空无线信道特征,获取路径损耗指数,并采用射线跟踪方法进行仿真验证,通过仿真所得信道冲激响应在多径时延和功率方面分析产生接收功率快速变化的原因。分析结果表明,近岸的多径反射会造成接收功率的波动,并且会造成路径损耗的升高。利用三种分布函数对测量数据进行分布拟合,分析海面和近岸两种通信条件下空-空无线信道的小尺度分布特征。测量分析结果表明,小尺度特征受陆地反射影响明显,在距离陆地较远的海面呈现高斯分布特征,而在近陆地处未呈现典型分布特征。     

量子雷达及其目标探测性能综述

量子技术与传统技术相结合以提升经典系统性能是近年来电子信息、计算机技术等众多科学领域研究热点。由于隐身和电子对抗技术的进步和日益成熟,雷达作为一类典型的电子信息系统,其目标探测受到了越来越多的挑战。从雷达目标探测角度出发,介绍了量子雷达的基本概念与分类、若干实现模型,重点剖析、归纳了量子纠缠等量子效应增强雷达目标探测性能的物理机理与研究现状,指出了量子雷达研究和实现中的关键技术与研究方向。     

基于改进遗传算法的防空火力优化分配方法

结合地空导弹部队防空作战的特点,提出了基于改进遗传算法的防空火力优化分配模型,给出了模型求解的方法和步骤,详细阐述了改进遗传算法在防空火力分配中的应用,通过在计算机上仿真运行实例得出了火力分配方案,通过仿真证明本方法运算速度较快,结果精度较高,对地面防空火力分配决策研究具有一定的参考价值。     

军用雷达成本波动的源头探索与关键控制

根据军用雷达成本涉及的各个方面,建立雷达成本波动评价指标体系,运用主成分分析法确定其重要影响因子及权重,构造具有望小特性的评价函数可用于竞标决策选优,为军用雷达成本控制提供即时管理。     

Deterministic inventory lot‐size models under inflation with shortages and deterioration for fluctuating demand

In this paper, we extend the inventory lot‐size models to allow for inflation and fluctuating demand (which is more general than constant, increasing, decreasing, and log‐concave demand patterns). We prove that the optimal replenishment schedule not only exists but is also unique. Furthermore, we show that the total cost associated with the inventory system is a convex function of the number of replenishments. Hence, the search for the optimal number of replenishments is simplified to finding a local minimum. Finally, several numerical examples are provided to illustrate the results. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 144–158, 2001