The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart

In this paper, we proposed a new two-parameter lifetime distribution with increasing failure rate, the complementary exponential geometric distribution, which is complementary to the exponential geometric model proposed by Adamidis and Loukas (1998). The new distribution arises on a latent complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the maximum lifetime value among all risks. The properties of the proposed distribution are discussed, including a formal proof of its probability density function and explicit algebraic formulas for its reliability and failure rate functions, moments, including the mean and variance, variation coefficient, and modal value. The parameter estimation is based on the usual maximum likelihood approach. We report the results of a misspecification simulation study performed in order to assess the extent of misspecification errors when testing the exponential geometric distribution against our complementary one in the presence of different sample size and censoring percentage. The methodology is illustrated on four real datasets; we also make a comparison between both modeling approaches.     

Optimal allocation of change points in simple step-stress experiments under Type-II censoring

In simple step-stress experiments under Type-II censoring with the cumulative exposure model and exponentially distributed lifetimes, maximum likelihood estimates (MLE) of the expected lifetimes may not exist due to the absence of failure times either before or after the stress change point. For this reason, when planning a step-stress experiment, the change point could be chosen so as to minimize the probability of non-existence of the MLE. These non-existence probabilities are examined and compared in the one- as well as the two-sample situations. Moreover, the optimal allocations of the change points are discussed and the effects of the use of non-optimal choices for the change points are assessed.     

Nonlinear state estimation for rigid-body motion with low-pass sensors

In this paper, we consider the state estimation problem for the nonlinear kinematic equations of a rigid body observed under low-pass sensors. The problem is motivated from a walking robot application where inclinometers and gyros are the sensors used. We show that a non-local high gain observer exists for the nonlinear rigid-body kinematic equations and that it under a small angle assumption is possible to use one inclinometer only to estimate two angles.     

Estimation of the Bivariate Stable Spectral Representation by theProjection Method

A method of estimating the spectral representation of a generalized bivariatestable distribution is presented, based on a series of maximum likelihood (ML)estimates of the stable parameters of univariate projections of the data. Thecorresponding stable spectral density is obtained by solving a quadraticprogram. The proposed method avoids the often arduous task of computing themultivariate stable density, relying instead on the standard univariate stabledensity. The paper applies this projection procedure, under the simplifyingassumption of symmetry, to simulated data as well as to foreign exchangereturn data, with favorable results. Kanter projection coefficients governingconditional expectations are computed from the estimated spectral density. For the simulated data these compare well to their known true values.     

设计不安于“弃”——永续性环保设计

工业设计主要研究的是人、产品、环境三者之间的关系。所以好的工业设计产品要同时满足环境和人的心理的需要。本文以此为出发点,基于现在环境的恶化和人们之间的冷漠提出"永续性环保设计(Sustainable design)"的理念。通过介绍现今社会环境,提出此设计理念并提出了其设计方法。     

周期环境下的最优的脉冲控制策略

研究了周期环境影响下具有脉冲控制的捕食与被捕食模型的全局动态行为,通过Floqnet理论和微分方程比较定理,得到了捕食系统害虫根除周期解的全局稳定性的临界值,进一步数值模拟分析了系统参数如何影响害虫综合控制,得到了最优的脉冲控制策略．     

冲积河流稳定平衡条件与断面几何形态的数理分析

冲积河流稳定平衡条件长期以来被认为无闭合解,致使众多经验假说得以应用。本文通过将两个无量纲断面形态参数宽深比和边坡角度引入到冲积河流三大基本运动方程中,详细分析了推移质输沙率与这两个变量之间的复杂关系,从数学上推导得出冲积河流达到稳定平衡的水动力学条件是推移质输沙率最大。河流达到稳定平衡时的过水断面形态数学表达式表明,天然冲积河流在平滩水位时所展现的水力几何关系是河流通过调整过水断面形态达到的稳定平衡的结果。     

静宁县建立农村供水工程投入稳定增长机制的思考

依据2011年中央1号文件关于建立水利工程投入稳定增长机制的政策措施,结合静宁县农村供水工程投资实际,探究建立公共财政投资和金融投资建设供水主体工程,群众投资投劳建设供水入户工程,社会资金投入提高供水入户标准的农村供水工程投入稳定增长机制,为工程实施提供资金保障.     

航空相机稳定平台控制算法设计及其像移补偿

飞行过程中飞机姿态角速度变化会对摆扫式航空相机产生干扰,另外相机在拍摄时飞行方向上的景物与感光介质之间存在相对运动。为消除姿态角速度的干扰和前向像移,设计了一种基于F28335的机载相机两轴稳定平台系统。探讨了伺服控制系统的算法选择,介绍了硬件结构和软件流程。通过摇摆台试验证明,该两轴稳定平台动态精度高、运行可靠,满足相机拍摄时序和精度的要求。