Quadratic forms in spherical random variables: Generalized noncentral x2 distribution

Let X denote a random vector with a spherically symmetric distribution. The density of U = X'X, called a “generalized chi-square,” is derived for the noncentral case, when μ = E(X) ≠ 0. Explicit series representations are found in certain special cases including the “generalized spherical gamma,” the “generalized” Laplace and the Pearson type VII distributions. A simple geometrical representation of U is shown to be useful in generating random U variates. Expressions for moments and characteristic functions are also given. These densities occur in offset hitting probabilities.     

The impact of defense and non‐defense public spending on growth in Asia and Latin America∗

For a three‐sector Feder‐Ram framework, we present time‐series, cross‐sectional estimates for two cohorts, consisting of Asian and Latin American countries. The estimates indicate that private investment, and defense and non‐defense public spending are growth promoting for alternative error components representations. For the best error components representation, greater growth enhancement is associated with the two forms of public spending in Asia than in Latin America, while the opposite comparison characterizes private investment. Although defense is growth promoting, an opportunity cost exists insofar as non‐defense spending, financed by defense spending, appears to give a small net boost to growth in Latin America.     

Cinematic representations of the Mexican Narco War

This essay provides an overview of the eras of Mexican cinema followed by an analysis of 10 Spanish-language narco cinematic representations, an overview of the eras of American cinema followed by an analysis of 10 English language narco cinematic representations, and a conclusion that compares and contrasts the Mexican and US narco war cinematic experience. Due to divergent national trajectories – Mexico is engulfed in narco violence and corruption while the United States is not – more differences than similarities exist between these national cinematic genres. Dark spirituality themes are also increasingly evident in more recent narco war films.     

Systems composed of two types of nonidentical and dependent components

A coherent system of order n that consists two different types of dependent components is considered. The lifetimes of the components in each group are assumed to follow an exchangeable joint distribution, and the two random vectors, which represent the lifetimes of the components in each group are also assumed to be dependent. Under this particular form of dependence, all components are assumed to be dependent but they are categorized with respect to their reliability functions. Mixture representation is obtained for the survival function of the system's lifetime. Mixture representations are also obtained for the series and parallel systems consisting of disjoint modules such that all components of Type I are involved in one module (subsystem) and all components of Type II are placed in the other module. The theoretical results are illustrated with examples. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 388–394, 2015     

The effect of correlated exponential service times on single server tandem queues

An investigation via simulation of system performance of two stage queues in series (single server, first-come, first-served) under the assumption of correlated exponential service times indicates that the system's behavior is quite sensitive to departures from the traditional assumption of mutually independent service times, especially at higher utilizations. That service times at the various stages of a tandem queueing system for a given customer should be correlated is intuitively appealing and apparently not at all atypical. Since tandem queues occur frequently, e.g. production lines and the logistics therewith associated, it is incumbent on both the practitioner and the theoretician that they be aware of the marked effects that may be induced by correlated service times. For the case of infinite interstage storage, system performance is improved by positive correlation and impaired by negative correlation. This change in system performance is reversed however for zero interstage storage and depends on the value of the utilization rate for the case where interstage storage equals unity. The effect due to correlation is shown to be statistically significant using spectral analytic techniques. For correlation equal unity and infinite interstage storage, results are provided for two through twenty-five stages in series to suggest how adding stages affects system performance for ρ>0. In this extreme case of correlation, adding stages has an effect on system performance which depends markedly on the utilization rate. Recursive formulae for the waiting time per customer for the cases of zero, one, and infinite interstage storage are derived.     

BaTiO3的相温度曲线

根据BaTiO3的吉布斯自由能展开式，讨论了对称群Oh操作的所有不可约表示，考虑到不同不可约表示项的相互作用，并利用相稳定条件，推导出可能对称相的温度曲线。     

A time series analysis of some interrelated logistics performance variables

This paper is a case study. We show how the powerful methods of time series analysis can be used to investigate the interrelationships between Alert Availability, a logistics performance variable, and Flying Hours, an operational requirement, in the presence of a major change in operating procedures and using contaminated data. The system considered is the fleet of C-141 aircraft of the U.S. Air Force. The major change in operating procedures was brought about by what is known as Reliability Centered Maintenance, and the contaminated data were due to anomalies in reporting procedures. The technique used is a combination of transfer function modeling and intervention analysis.     

基于Q-MMSPF的海杂波多重分形互相关分析和目标检测

提出一种研究长程互相关和多重分形的新方法——Q阶混合矩结构分割函数法(Q-MMSPF),并利用Q-MMSPF分析了海杂波时间序列的多重分形互相关特征。通过对实测海杂波数据的计算分析发现,海杂波互相关多重分形特征较弱,目标信号之间的互相关多重分形特征明显,而目标信号与海杂波之间的互相关多重分形程度介于二者之间。据此,本文采用一种新的特征值进行海杂波背景下的目标检测。通过对不同条件下的实测海杂波数据验证,表明使用本文提出的特征值测量方法可以十分有效地检测出海杂波背景下的小弱目标。     

Towards finding global representations of the efficient set in multiple objective mathematical programming

We propose and justify the proposition that finding truly global representations of the efficient sets of multiple objective mathematical programs is a worthy goal. We summarize the essential elements of a general global shooting procedure that seeks such representations. This procedure illustrates the potential benefits to be gained from procedures for globally representing efficient sets in multiple objective mathematical programming. © 1997 John Wiley & Sons, Inc.     

宽带模糊函数的群论解释及小波变换求解

讨论了各种形式的宽带模糊函数,通过群论分析表明,它们都可解释为二维不可约仿射群U表示的矩阵系数,因此其性质可通过对仿射群的研究作出解释。还讨论了宽带模糊函数与小波变换的关系,并由此导出其高效的小波变换求解方法。     

收发合置情况下海底混响仿真

为了实现收发合置情况下海底混响时间序列仿真,提出了一种混合模型方法。该方法将点散射模型方法与单元散射模型方法混合使用,既能够克服单元散射模型方法中高斯分布假设带来的计算误差,又能够克服点散射模型方法计算复杂的问题。针对窄带发射信号,为了便于计算,设计了一种适用于任意采样率的基于复包络的混响信号仿真方法。最后,通过仿真试验证实了仿真方法的有效性。     

Allocation of two redundancies in two‐component series systems

The allocation of redundancies in a system to optimize the reliability of system performance is an interesting problem in reliability engineering and system security. In this article, we focus on the optimal allocation of two exponentially distributed active (standby) redundancies in a two‐component series system using the tool of stochastic ordering. For the case of active redundancy, stochastic comparisons are carried out in terms of the likelihood ratio and reversed hazard rate orders. For the case of standby redundancy, a likelihood ratio ordering result is developed. The results established here generalize and strengthen corresponding results in the recent literature. In addition, several numerical examples are used to explicate the results. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

Hit probability for a chain-like series of shots—a simple formula

To find the hit probability for a series of correlated shots is, with conventional methods, a very tedious job even for the simplest statistical distributions. Experimental data, however, commonly show the shots lying chain-like on smooth curves about the target. For this case this paper introduces a new method of finding the hit probability without the use of correlation coefficients. The method is based on a transformation, where the target is transformed into a point and each bullet into an area the size of the target.     

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     

电源插座过载火灾危险性分析

利用反复过载实验方法对电源插座分别采用1.5倍、2.0倍、2.5倍、3.0倍额定电流进行过载实验,在过载3次及6次后分别通以额定电流,得出了一系列温度—时间的变化曲线及相关数据,并进行了分析。在实验所得结果的基础上,分析了插座过载引起火灾的原因,并提出了相应的火灾预防对策,这对预防插座过载引起电气火灾,减少火灾损失具有重要意义。     

海军特种作战军事概念格式化描述框架和模板研究

介绍了海军特种作战军事概念格式化描述的方法。对海军特种作战军事概念格式化描述的要求进行深入分析,得出格式化描述的基本思路：用面向对象的方法对海军特种作战军事行动进行分解,给出一套规范和格式,使军事人员对军事行动的格式化表述清晰地提供出技术人员所熟悉的面向对象的概念和机制。根据这种思路对海军特种作战军事行动进行分析,抽取出格式化描述的五个要素：作战单位、动作、作战行动、信息和作战环境,从而建立海军特种作战军事概念格式化描述的框架并详细研究了上述五个要素的描述框架和模板结构。     

The multiplicative representation for multiple objectives optimization with an application for arms procurement

Multiple Objectives Optimization is much seen in combination with linear functions and even with linear programming, together with an adding of the objectives by using weights. With distance functions, normalization instead of weights is used. It is also possible that together with an additive direct influence of the objectives on the utility function a mutual utility of the objectives exists under the form of a multiplicative representation. A critical comment is brought on some representations of this kind. A full‐multiplicative form may offer other opportunities, which will be discussed at length in an effort to exclude weights and normalization. This theoretical approach is followed by an application for arms procurement. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 327–340, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10014     

四阶Fibonacci数列的通项及性质

著名的二阶Fibonacci数列有许多通项表达式和性质.文中运用矩阵方法,对四阶Fibonacci数列进行了比较深入的研究,求得了四阶Fibonacci数列的3个通项表达式,并得到了一些与Fibonacci数列相似的性质.     

运动激光辐照圆柱薄壳温度场的数值模拟

对圆柱薄壳在四种不同运动模式激光源辐照下的温度场分布进行了分析研究。运用傅立叶级数展开法推导了在不同运动模式激光源作用下圆柱薄壳温度场的解析表达式,并对该解析表达式进行了编程计算,其计算结果与有限元解吻合良好。详细分析了旋转角速度与平动速度对圆柱壳温升分布的影响,发现在往复运动加热模式下光斑区域的温升变化最为剧烈。计算结果为导弹的抗激光辐射提供了理论依据。     

One- and two-stage scheduling of two products with distributed inserted idle time: The benefits of a controllable production rate

Consider the problem of scheduling two products on a single machine or through two machines in series when demand is constant and there is a changeover cost between runs of different products on the same machine. As well as setting batch sizes, it is assumed that the production scheduler can choose the production rate for each product, provided an upper bound is not exceeded. This is equivalent to permitting distributed inserted idle time over the production run. It is shown that characteristic of the optimum schedule is that there is no idle time concentrated between runs; it is all distributed over the run. If the inventory charge is based on average inventory then one product is always produced at maximum rate on the bottleneck stage; however, if there is an inventory constraint based on maximum inventory then in the single-stage case it can occur that neither product is produced at maximum rate.