Convolutions and generalization of logconcavity: Implications and applications

Additive convolution of unimodal and α‐unimodal random variables are known as an old classic problem which has attracted the attention of many authors in theory and applied fields. Another type of convolution, called multiplicative convolution, is rather younger. In this article, we first focus on this newer concept and obtain several useful results in which the most important ones is that if is logconcave then so are and for some suitable increasing functions ?. This result contains and as two more important special cases. Furthermore, one table including more applied distributions comparing logconcavity of f(x) and and two comprehensive implications charts are provided. Then, these fundamental results are applied to aging properties, existence of moments and several kinds of ordered random variables. Multiplicative strong unimodality in the discrete case is also introduced and its properties are investigated. In the second part of the article, some refinements are made for additive convolutions. A remaining open problem is completed and a conjecture concerning convolution of discrete α‐unimodal distributions is settled. Then, we shall show that an existing result regarding convolution of symmetric discrete unimodal distributions is not correct and an easy alternative proof is presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 109–123, 2016     

单兵模拟射击训练的数据统计方法研究

提出了对单兵模拟射击训练系统射击数据的新统计方法。该方法针对射击需要,在初步的数据统计后,利用统计学理论,针对性地设计了射击数据二次处理统计指标。新的统计指标不仅使射击训练水平更加精确高效,同时使射击指挥更加科学合理。     

火灾统计失实问题的现状及对策

以四川省为例介绍火灾统计失实的情况 ,并分析火灾统计失实问题的原因 ,提出纠正火灾统计失实问题的工作意见。     

基于多元统计的空中目标区分方法

现代战争中的空情信息复杂多变,如何对空中目标合理地区分,以提取其主要信息,是空情信息处理的一个重要方面。基于多元统计的思想,采用聚类分析和判别分析的方法,对空中目标进行区分、辨别,以此为指挥人员提供作战决策的依据。     

《军械工程学院学报》（自然科学版）1989—2001年载文信息的统计分析

以《军械工程学院学报》 (自然科学版 ) 1989- 2 0 0 1年发表的 74 0篇论文为统计样本 ,对其载文信息进行统计分析。得到载文总量 ,平均年载文量 ,平均期载文量 ,篇均页码 ,信息密度 ,发文时滞 ,基金论文率等指标值 ,从一个侧面反映了学院的科研学术成果和《学报》的学术质量     

现代舰载光电装备与高科技局部海战

以现代物理、计算机、自动控制、信息处理与融合等高新技术为支撑的现代舰载光电装备技术,在现代海战中有着举足轻重的作用.根据现代海战的基本特点,论证了高科技局部海战对光电装备的3大需求,阐述了现代舰载光电装备的类别及其发展趋势.     

Reliability and mean residual life functions of coherent systems in an active redundancy

In this article, the reliability and the mean residual life (MRL) functions of a system with active redundancies at the component and system levels are investigated. In active redundancy at the component level, the original and redundant components are working together and lifetime of the system is determined by the maximum of lifetime of the original components and their spares. In the active redundancy at the system level, the system has a spare, and the original and redundant systems work together. The lifetime of such a system is then the maximum of lifetimes of the system and its spare. The lifetimes of the original component and the spare are assumed to be dependent random variables. © 2017 Wiley Periodicals, Inc. Naval Research Logistics, 64: 19–28, 2017     

Consecutive k‐within‐m‐out‐of‐n:F system with exchangeable components

As a generalization of k‐out‐of‐n:F and consecutive k‐out‐of‐n:F systems, the consecutive k‐within‐m‐out‐of‐n:F system consists of n linearly ordered components such that the system fails iff there are m consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k‐within‐m‐out‐of‐n:F systems with exchangeable components are studied. The bounds and approximations for the survival function are provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The results are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution. © 2009 Wiley Periodicals, Inc. Naval Research Logistics 2009     

基于检测统计量的修正转换恒虚警检测算法

提出了一种新的恒虚警检测算法--修正的转换恒虚警检测算法(MS-CFAR).该算法考虑检测单元采样作为参考单元的选择依据,其使用了基于转换恒虚警(S-CFAR)和最大选择恒虚警(GO-CFAR)的复合算法.给出了该算法在均匀背景中的数学分析.结果表明,该检测器既具有均匀背景下和CA-CFAR相近的良好性能,在多目标环境中亦克服了GO-CFAR不能分辨主目标的弊端,具有较强的适应性.尤其在杂波边缘环境中,MS-CFAR表现出了远好于S-CFAR的控制虚警的能力.     

Dynamic signatures and their use in comparing the reliability of new and used systems

The signature of a system with independent and identically distributed (i.i.d.) component lifetimes is a vector whose ith element is the probability that the ith component failure is fatal to the system. System signatures have been found to be quite useful tools in the study and comparison of engineered systems. In this article, the theory of system signatures is extended to versions of signatures applicable in dynamic reliability settings. It is shown that, when a working used system is inspected at time t and it is noted that precisely k failures have occurred, the vector s [0,1]^n‐k whose jth element is the probability that the (k + j)th component failure is fatal to the system, for j = 1,2,2026;,n ‐ k, is a distribution‐free measure of the design of the residual system. Next, known representation and preservation theorems for system signatures are generalized to dynamic versions. Two additional applications of dynamic signatures are studied in detail. The well‐known “new better than used” (NBU) property of aging systems is extended to a uniform (UNBU) version, which compares systems when new and when used, conditional on the known number of failures. Sufficient conditions are given for a system to have the UNBU property. The application of dynamic signatures to the engineering practice of “burn‐in” is also treated. Specifically, we consider the comparison of new systems with working used systems burned‐in to a given ordered component failure time. In a reliability economics framework, we illustrate how one might compare a new system to one successfully burned‐in to the kth component failure, and we identify circumstances in which burn‐in is inferior (or is superior) to the fielding of a new system. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009