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     

Optimum step‐stress accelerated life test plans for log‐location‐scale distributions

This article presents new tools and methods for finding optimum step‐stress accelerated life test plans. First, we present an approach to calculate the large‐sample approximate variance of the maximum likelihood estimator of a quantile of the failure time distribution at use conditions from a step‐stress accelerated life test. The approach allows for multistep stress changes and censoring for general log‐location‐scale distributions based on a cumulative exposure model. As an application of this approach, the optimum variance is studied as a function of shape parameter for both Weibull and lognormal distributions. Graphical comparisons among test plans using step‐up, step‐down, and constant‐stress patterns are also presented. The results show that depending on the values of the model parameters and quantile of interest, each of the three test plans can be preferable in terms of optimum variance. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

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.     

关于半鞅向量随机积分的两个结果

首先利用半鞅Girsanov定理与闭图像定理证明了:若{Xn}是带滤基的完备概率空间(Ω,F,F,P)中的一列半鞅,其中滤基F=(Ft)t≥0满足通常条件,且{Xn}在关于P的Emery拓扑空间中收敛于X,则当概率测度Q相似文献   

基于循环子空间理论的线性系统测试矩阵优化

研究了线性定常系统在循环指数大于1(即其约当标准形不同的约当块有重根)的情况下测试矩阵的优化方法.以循环子空间相关定理的证明为基础,根据根向量链的相关特性,得到了测试向量的线性和与系统观测性的直接关系,给出了在保证系统可观测性的同时,使得测试代价最小的测试矩阵优化方法.算例表明,提出的方法简单直观,对配置测试向量具有良好的工程价值.     

冲压增程弹进气道设计方法与性能分析

以冲压增程弹为应用背景进行了进气道设计.结合增程弹的特点,讨论了轴对称进气道中心锥参数、喉道参数、外罩参数的选择.特别对进气道唇口处参数、扩张段角度设计方法进行了分析.设计了单锥混压式、单锥外压式以及双锥混压式三种进气道,并进行了数值模拟.分析了进气道主要设计参数对其性能的影响.数值结果表明,就增程弹的性能要求而言,双锥混压式进气道的性能较高.     

攻角对双三角翼旋涡特性影响的数值模拟

采用数值方法研究了双三角翼上涡流运动随攻角的变化规律.计算取层流假设,研究了攻角在5°～30°,76°/40°后掠双三角翼绕流的流场结构随攻角的变化,并对双三角翼上涡破裂现象对流场结构及气动力性能的影响进行了分析.结果表明,双三角翼上的多涡结构存在强烈的相互影响,较大的攻角会导致涡破裂在翼面上发生,严重影响了双三角翼的气动力性能.     

机动目标一维距离像RAT法线性化补偿

研究了机动目标宽带线性调频脉冲回波全去斜率信号模型,根据速度和加速度的调频频谱展宽特点,提出了机动目标宽带一维距离像线性化调频回波模型,给出了Radon模糊图转换(RAT)法线性参数估计与运动补偿方法,并进一步分析了测速和测距误差.仿真实验验证了RAT法一维距离像线性化参数估计与补偿,表明该方法很好地解决了运动参数未知情况下机动目标的一维距离像频谱展宽问题.     

一种改进方位向非线性CS大斜视角SAR成像算法

大斜视角SAR成像时存在严重的距离走动现象,慢时域的距离走动校正在解决这一问题同时导致了聚焦深度问题.分析了二维频域解耦合后残余相位误差以及时域走动校正后的多普勒调频率误差,提出一种改进的方位向非线性CS算法,校正了三次以上距离迁徙带来的相位误差,同时采用改进非线性CS扰动方程补偿了随方位偏移量线性变化的调频率误差.仿真结果表明,改进算法的大斜视角大场景成像性能优于传统的高分辨大斜视角成像算法.     

LFM脉冲雷达距离维快速搜索处理算法

针对脉冲雷达近距离目标遮挡问题,从理论上分析了雷达最小作用距离不受限于脉冲宽度.在此基础上,以Chirp脉冲为例,提出了一种适合远近距离全程目标的快速搜索处理算法.该算法只需发射一种宽脉冲波形,而不必根据距离的变化改变脉宽,从而有效缩短了搜索时间,大大提高了搜索效率.仿真结果表明了理论分析的正确性和算法的有效性.