三维射击精度的Winterbottom逼近  

Winterbottom Approximation for Accuracy Evaluation in Three Dimensions

作　　者：宋天莉[1,2] 安维廉[2] 王书宁[1] 

机构地区：[1]清华大学自动化系,北京100084 [2]第二炮兵装备研究院.北京100085

出　　处：《系统仿真学报》2010年第3期554-557,共4页Journal of System Simulation

基　　金：国家自然科学基金(60674025,60534060);国家“九七三”基础研究项目(2002CB312200)

摘　　要：为避免导弹武器三维射击精度降维评估带来的信息损失问题,在三维射击精度一阶逼近法研究的基础上,引进SEP对分布参数的二阶偏导数,依据Winterbottom展开给出了SEP的置信上界和置信区间表达式。详细推导了具体计算公式,提出Box-Cox变换参数λ的选取原则,列出了优化λ的计算方程,并以示例说明Winterbottom逼近对中小样本的具体运用和实际效果,结果表明该方法具有良好的使用前景。首次将渐进正态性理论和逼近理论引入三维精度评估领域,解决了球概率误差分布未知问题。In order to avoid the information deficiency of dimension reduction evaluation, the second-order partial differentials of spherical error probable （SEP） with respect to distribution parameters were introduced based on the first-order approximation of three-dimensional accuracy. Using Winterbottom expansion, the confidence upper bound and confidence interval of SEP were given. The detailed formulas were derived. In addition, the principle for selecting the Box-Cox transformation parameter and the equation for optimizing the latter were proposed. An example shows that the method proposed is promising. The asymptotic normality and approximation theory are introduced for the first time to overcome the difficulty of unknown SEP distribution.

关 键 词：三维射击精度 球概率误差SEP Winterbottom逼近法 Cornish-Fisher一阶校正 

分 类 号：V448.23[航空宇航科学与技术—飞行器设计]