Cρ 准则下选择最优子集的并行算法

C_p准则是目前颇受重视的一种变量选择准则。本文针对大型线性回归模型,推导了从所有可能子集中用C_p准则选择最优子集的(乘除法) 运算次数,提出了C_p准则下变量选择的并行算法。给出了在YH-1和YH-2向量巨型计算机上运行该算法的模拟结果且获得了15倍左右的向量加速比s/v,体现了该算法的优越性。     

一种新的自变量选择准则

本文提出了一种着眼于提高回归系数估值精度的自变量选取准则,同时给出了相应的算法。     

液体火箭发动机故障诊断的最优回归方法

提出了一种基于最优回归理论的液体火箭发动机故障诊断方法，可以在测量参数较少的情况下诊断出较多的发动机故障。当发动机故障不太严重、故障因素也不多时，得到比较满意的关于故障定位和故障大小的结果；在发动机故障比较严重的情况下，仍能得到比较好的故障定位结果；当存在多个故障因素时，诊断效能有所下降。结果表明本文所提方法在比较大的范围之内具有良好的效果。     

具连续分布滞量的二阶中立型阻尼偏微分方程解的振动准则

研究一类具有阻尼项和连续分布滞量的二阶中立型偏微分方程解的振动性,通过利用Riccati变换,引入一类Φ(t,s,l)型的新函数,获得该类方程在Robin,Dirichlet边值条件下振动的充分判据.     

Weibull 分布场合下恒定应力加速寿命试验的保序估计

讨论了Ｗｅｉｂｕｌ场合下恒定应力加速寿命试验的最优线性无偏估计及保序估计,获得了保序估计的表示式,并给出了一个模拟例子．     

Attrition models of the Ardennes campaign

This paper revisits the modeling by Bracken [3] of the Ardennes campaign of World War II using the Lanchester equations. It revises and extends that analysis in a number of ways: (1) It more accurately fits the model parameters using linear regression; (2) it considers the data from the entire campaign; and (3) it adds in air sortie data. In contrast to previous results, it concludes by showing that neither the Lanchester linear or Lanchester square laws fit the data. A new form of the Lanchester equations emerges with a physical interpretation. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 1–22, 1998     

Locating a target from directional data

Statistical estimation plays an important role in locating a target in space, a task that has important applications in many areas. However, theoretical measures on the quality of various estimators reported in the literature have been difficult to obtain because of mathematical complications. As a result, choice of estimator in practice has been largely arbitrary. In this paper, we present a systematic study on major target estimators reported in the literature. Focus is on comparisons between the traditional angle method, the line method, and a recently developed line-to-point transformation method. Insights gained from the study directly lead to the development of a novel two-stage angle method that not only produces highly accurate target estimation among all known estimators but is also computationally efficient. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 353–364, 1998     

回归型支持向量机的机翼结冰冰型预测

飞机结冰严重威胁着飞行安全。针对机翼结冰冰型预测时不确定性因素较多、难以准确预测的问题,提出了一种基于回归型支持向量机的机翼结冰冰型预测方法。在建立冰型模型的基础上,利用回归型支持向量机(Support Vector Regression,SVR)获得冰型多项式系数,从而预测出相关飞行条件和大气条件下的冰型。仿真结果表明,该方法具有较好的预测能力,可以及时提供可靠的结冰信息,为保证结冰条件下的飞行安全提供了保障。     

基于采样的非线性滤波方法

在系统阐述贝叶斯估计理论的基础上,分析和总结了扩展卡尔曼滤波、Sigma点卡尔曼滤波以及粒子滤波等方法的特点、使用条件以及局限性.介绍了扩展卡尔曼滤波方法并指出其缺陷;介绍了无轨迹卡尔曼滤波、中心差分卡尔曼滤波等确定性采样方法,并在加权统计线性回归意义下将其归结为Sigma点卡尔曼滤波方法;介绍了随机采样方法-粒子滤波方法,并指出其主要的研究方向.最后,对非线性滤波的发展趋势进行了展望.     

Approximating nondominated sets in continuous multiobjective optimization problems

Many important problems in Operations Research and Statistics require the computation of nondominated (or Pareto or efficient) sets. This task may be currently undertaken efficiently for discrete sets of alternatives or for continuous sets under special and fairly tight structural conditions. Under more general continuous settings, parametric characterisations of the nondominated set, for example through convex combinations of the objective functions or ε‐constrained problems, or discretizations‐based approaches, pose several problems. In this paper, the lack of a general approach to approximate the nondominated set in continuous multiobjective problems is addressed. Our simulation‐based procedure only requires to sample from the set of alternatives and check whether an alternative dominates another. Stopping rules, efficient sampling schemes, and procedures to check for dominance are proposed. A continuous approximation to the nondominated set is obtained by fitting a surface through the points of a discrete approximation, using a local (robust) regression method. Other actions like clustering and projecting points onto the frontier are required in nonconvex feasible regions and nonconnected Pareto sets. In a sense, our method may be seen as an evolutionary algorithm with a variable population size. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.