区域和参数化可靠性灵敏度指标及其解法

针对基于方差的全局可靠性灵敏度指标,分别提出基于方差的区域和参数化可靠性灵敏度指标,以衡量输入变量的取值区域发生变化时或输入变量的方差减小时整个输入变量系统对失效概率不确定性贡献的变化情况。然后从Pearson相关系数的视角分别将所提指标表述成无条件失效域指示函数与固定某一随机输入时的条件失效域指示函数之间的相关系数。在此转换的基础上,提出基于Pearson相关系数的两种求解方法,一种采用蒙特卡洛方法重复抽样进行循环计算,另一种借鉴重要抽样的思想。功能函数的计算样本可重复使用而不增加任何额外的计算代价,故后者大大提高了求解所提区域和参数化灵敏度指标的计算效率。算例结果验证了所提指标的合理性,同时也证明了所提方法的准确性与高效性。     

Nonparametric bayesian lifetime data analysis using dirichlet process lognormal mixture model

We propose a nonparametric Bayesian lifetime data analysis method using the Dirichlet process mixture model with a lognormal kernel. A simulation‐based algorithm that implements the Gibbs sampling is developed to fit the Dirichlet process lognormal mixture (DPLNM) model using rightly censored failure time data. Five examples are used to illustrate the proposed method, and the DPLNM model is compared to the Dirichlet process Weibull mixture (DPWM) model. Results indicate that the DPLNM model is capable of estimating different lifetime distributions. The DPLNM model outperforms the DPWM model in all the examples, and the DPLNM model shows promising potential to be applied to analyze failure time data when an appropriate parametric model for the data cannot be specified. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

Statistical analysis for masked system life data from Marshall‐Olkin Weibull distribution under progressive hybrid censoring

This paper considers the statistical analysis of masked data in a series system, where the components are assumed to have Marshall‐Olkin Weibull distribution. Based on type‐I progressive hybrid censored and masked data, we derive the maximum likelihood estimates, approximate confidence intervals, and bootstrap confidence intervals of unknown parameters. As the maximum likelihood estimate does not exist for small sample size, Gibbs sampling is used to obtain the Bayesian estimates and Monte Carlo method is employed to construct the credible intervals based on Jefferys prior with partial information. Numerical simulations are performed to compare the performances of the proposed methods and one data set is analyzed.     

指数寿命产品可靠性增长试验的Bayes分析

针对指数寿命产品的定时、定数截尾试验方案,推广了Mazzuchi-Soyer模型的应用范围。首先引入模型假设,以狄氏分布作为先验分布,综合利用产品研制的历史信息和专家信息,结合产品研制各阶段试验数据,给出了各阶段可靠性的联合后验分布。然后利用Gibbs抽样算法解决后验推断计算问题,得到各阶段产品可靠性的Bayes点估计和区间估计。最后给出产品可靠性增长分析实例,表明了模型的优越性。     

GNSS接收机离散化处理对解扩性能影响的研究

建立了扩频信号防混叠滤波、采样和量化与解扩输出关系的数学解析模型,推导得到解扩输出信噪比的解析表达式。分析与仿真表明,当量化位数大于等于4比特,解扩得到总的信噪比损失可以分解为由量化引起的损失和滤波加采样引起损失的乘积,且量化器最优限幅系数只与量化位数相关;当量化位数小于4比特时,信噪比损失在一定条件下可近似为量化损失和滤波加采样损失的乘积。当量化位数大于4比特、滤波器带宽大于5倍码率、采样频率大于4倍码率时,再增大上述参数引起的信噪比损失波动小于0.05dB,对解扩性能提升不明显。本文结论可为实用型GNSS接收机前端离散化处理优化设计提供理论指导。     

Some elementary ideas concerning the complexity of system structure

A system of iid Bernoulli components is the starting point in the statistical theory of reliability. This simplification allows for the development of a rich, though elementary, theory for the structure of the system. Two representations play a prominent role in the study of structural reliability. One is the minimal path set representation and the other is the signature representation. By combining the two representations with the Gibbs measure for the state of components, one obtains terms that can be interpreted as the complexity of the system structure. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

网络舆情中一种基于OLDA的在线话题演化方法

研究网络舆情分析中话题演化方法.首先分析网络舆情信息的特点;在此基础上,建立网络舆情信息模型,基于话题模型抽象描述文本内容的隐含语义,进而建立文本流在时间序列上的关联模型;进一步,提出基于OLDA的话题演化方法,针对舆情信息的特点,建立不同时间片话题间的关联.实验结果表明,该方法能够有效检测话题演化,为网络舆情分析提供了有效途径.     

Bayesian inference for a Lanchester type combat model

We undertake inference for a stochastic form of the Lanchester combat model. In particular, given battle data, we assess the type of battle that occurred and whether or not it makes any difference to the number of casualties if an army is attacking or defending. Our approach is Bayesian and we use modern computational techniques to fit the model. We illustrate our method using data from the Ardennes campaign. We compare our results with previous analyses of these data by Bracken and Fricker. Our conclusions are somewhat different to those of Bracken. Where he suggests that a linear law is appropriate, we show that the logarithmic or linear‐logarithmic laws fit better. We note however that the basic Lanchester modeling assumptions do not hold for the Ardennes data. Using Fricker's modified data, we show that although his “super‐logarithmic” law fits best, the linear, linear‐logarithmic, and logarithmic laws cannot be ruled out. We suggest that Bayesian methods can be used to make inference for battles in progress. We point out a number of advantages: Prior information from experts or previous battles can be incorporated; predictions of future casualties are easily made; more complex models can be analysed using stochastic simulation techniques. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 541–558, 2000     

基于MSP430 MCU的安全智能水量计量研究与实现

随着社会经济的迅速发展,工、农业的用水需求日益增多。为提高工、农业等大型供水系统的智能化和安全性,本文基于MSP430嵌入式处理机研发了安全智能水量测控仪嵌入式系统。本系统支持IC卡预购水,控制水泵启动、阀门开关,实现水量的自动计量、计费及报警提示等功能;系统自带GSM短信模块发送水站用水信息给管理系统,为用水的安全监控与调度奠定了基础。     

基于贝叶斯方法的大学生学习成绩影响因素分析

本文采用社会科学研究中常用的贝叶斯方法,利用MCMC模拟中的Gibbs抽样技术,分析了新疆大学某学院本科生的学习成绩的影响因素,研究发现,高考分数和地域因素对该系学生的学业影响较大,同时发现地域和高考分数的交互作用对学生学习成绩也具有较明显的影响。为分析新疆大学学生的学习差异提供了科学依据。