星载AIS检测概率建模与仿真分析

针对现有星载AIS检测概率低的问题,对星载AIS接收信号冲突和检测概率进行了研究和论证,并对影响检测概率的诸多因素进行了分析。分析了星载AIS与地面AIS的差异性,指出了星载AIS面临的新挑战。重点对星载AIS信号多网冲突问题进行了研究,建立了一种基于船舶分布密度函数的星载AIS检测概率模型。通过分析时隙冲突、船舶动态、轨道高度、天线类型和B类AIS船舶等因素对系统检测概率的影响,为工程设计和性能评估提供了一定参考依据。     

基于SDP松弛的干扰资源优化分配技术研究

提出一种基于semidefinite programming(简称SDP)松弛的干扰资源优化分配算法。在问题优化过程中首先对模型中非凸的约束条件进行松弛,变为凸约束,将原来的数学模型转化成SDP求解形式,利用内点算法对松弛后的模型求解。该算法利用解析的手段使得干扰资源优化分配问题中的NP难问题在多项式时间内得以解决,并且有较高的可靠性。仿真结果验证了算法的有效性。     

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。     

连续求解样本协方差矩阵迹的快速递推算法

为解决当样本数据不断增加时,利用传统方法反复计算样本协方差迹耗时多的缺点,提出了一种快速递推算法。理论分析和仿真试验都表明,算法的时间复杂度比传统的方法降低了一个数量级,从而大大减少了计算时间。     

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     

一种新的数组逻辑结构猜想方法

许多编译优化技术都依赖于数组的逻辑结构,然而在实际的应用中,有相当多的数组是无结构的一维数组,从而妨碍了编译器的优化工作。提出了一种新的数组逻辑结构猜想算法,它能将无结构的一维数组自动变换成具有多维逻辑结构的数组,从而使编译器的优化工作成为可能。首先给出一个引理,指出猜想后的多维数组应满足的基本性质,然后基于该引理给出了猜想数组的逻辑结构应遵循的两条基本规则,最后基于这两条基本规则给出了猜想数组逻辑结构的算法。实验结果验证了所提出的数组逻辑结构猜想算法的有效性。     

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