Progressive Type‐II censoring and coherent systems

A new connection between the distribution of component failure times of a coherent system and (adaptive) progressively Type‐II censored order statistics is established. Utilizing this property, we develop inferential procedures when the data is given by all component failures until system failure in two scenarios: In the case of complete information, we assume that the failed component is also observed whereas in the case of incomplete information, we have only information about the failure times but not about the components which have failed. In the first setting, we show that inferential methods for adaptive progressively Type‐II censored data can directly be applied to the problem. For incomplete information, we face the problem that the corresponding censoring plan is not observed and that the available inferential procedures depend on the knowledge of the used censoring plan. To get estimates for distributional parameters, we propose maximum likelihood estimators which can be obtained by solving the likelihood equations directly or via an Expectation‐Maximization‐algorithm type procedure. For an exponential distribution, we discuss also a linear estimator to estimate the mean. Moreover, we establish exact distributions for some estimators in the exponential case which can be used, for example, to construct exact confidence intervals. The results are illustrated by a five component bridge system. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 512–530, 2015     

拖缆强度校核的随机模拟方法

建立了拖缆的动态拉力模型,应用蒙特卡罗随机模拟方法对已知方案中的拖缆强度进行了校核.结果表明,分析其失效概率能够对拖缆选型给出直观的评价,有利于提高拖航的安全性.     

一种改进的遥感图像分形维数提取算法

基于离散分形布朗随机场的图像分数维提取方法,在综合分析和实验验证的基础上,提出了一种改进的图像分形维数计算方法。仿真实验证明,该算法相较于原算法计算结果稳定,不同地物的区分能力强,能够应用于遥感图像的地物分类。     

考虑多轴应力与共振影响的随机振动疲劳寿命预测

目前工程上计算结构随机疲劳寿命时,仍经常采用基于单轴拉-压疲劳寿命(Stress-Number of cycles,S-N)曲线的应力寿命方法。虽然使用简单方便,但这种方法不仅忽视了单轴S-N曲线且不能准确反映结构在多轴应力状态下的疲劳,还忽略了随机振动中共振对结构疲劳寿命的影响,因此该方法在预测结构在随机振动下的疲劳寿命时与实际寿命往往有较大误差。对此引入三轴因子来反映结构在随机振动下的多轴应力状态,同时推广得到其在频域上的表达式,并在此基础上引入非线性函数,提出了一个新的随机振动疲劳损伤参量——多轴振动因子。新的损伤参量不仅同时考虑了结构随机振动下的多轴应力状态与共振对疲劳寿命的影响,而且该损伤参量形式简单,便于工程应用。利用新的随机振动疲劳损伤参量,得到了适用于随机振动下的多轴S-N曲线,从而建立了一种新的随机振动疲劳寿命预测方法。通过对7075-T6和LY12CZ铝合金缺口试件的随机振动疲劳寿命进行预测,结果表明该方法较准确地预测了两种缺口试件随机振动下的疲劳寿命。     

基于贝叶斯网络的态势估计时间推理方法

基于贝叶斯网络的态势估计方法是目前态势估计领域中的主要方法之一,然而,传统的贝叶斯网络不具备时间语义,因此无法解决态势估计中的时间推理问题.基于此,对贝叶斯网络进行改造,研究了时间贝叶斯网络的构建方法.通过一个战场想定,说明了时间贝叶斯网络构建、推理的过程与方法,证明了提出方法的有效性.     

Random disambiguation paths for traversing a mapped hazard field

We consider the problem of safely and swiftly navigating through a spatial arrangement of potential hazard detections in which each detection has associated with it a probability that the detection is indeed a true hazard. When in close proximity to a detection, we assume the ability—for a cost—to determine whether or not the hazard is real. Our approach to this problem involves a new object, the random disambiguation path (RDP), which is a curve‐valued random variable parametrized by a binary tree with particular properties. We prove an admissibility result showing that there is positive probability that the use of an RDP reduces the expected traversal length compared to the conventional shortest zero‐risk path, and we introduce a practically computable additive‐constant approximation to the optimal RDP. The theoretical considerations are complemented by simulation and example. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

区间正交小波变换域FLP算法及其在捷联寻北中的应用

针对机抖激光陀螺角随机游走和发动机干扰等影响静态捷联寻北精度的问题,提出了一种新的基于区间正交小波变换的前向线性预测算法。该算法利用前向线性预测技术以及区间正交小波变换抑制边界效应的能力,有效地减小了角随机游走和发动机干扰。车载实验证明该算法的有效性。     

跳测度的可料对偶投影

证明了跳测度 ν的 Doob-Meyer分解 ν=m+π中 ,π即为跳测度的可料对偶投影 ,也是 ν-π的鞅特征     

逆重复 m 序列输入下 FIR 模型辨识及精度分析

针对离散控制系统的有限脉冲响应 (FIR)函数模型 ,研究了在伪随机逆重复m序列输入激励下的相关辨识及其精度问题 ,得到了有色噪声干扰下FIR参数估计精度的显式表达式。文中有仿真实例。     

条件随机变量与条件数据融合

本文讨论基于条件事件代数系统上的条件随机变量的表示问题,并给出了在多个信息源提供的不同类型的条件数据时之统一表示方法,以及利用条件随机变量分布函数性质,对所得数据进行关联等。