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| 三维射击精度的Winterbottom逼近 | |
| 引用本文： | 宋天莉,安维廉,王书宁.三维射击精度的Winterbottom逼近[J].系统仿真学报,2010,22(3). |
| 作者姓名： | 宋天莉 安维廉 王书宁 |
| 作者单位： | 1. 清华大学自动化系,北京,100084;第二炮兵装备研究院,北京,100085 2. 第二炮兵装备研究院,北京,100085 3. 清华大学自动化系,北京,100084 |
| 基金项目： | 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。 |
| 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 |
Winterbottom Approximation for Accuracy Evaluation in Three Dimensions |
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| SONG Tian-li,AN Wei-lian,WANG Shu-ning.Winterbottom Approximation for Accuracy Evaluation in Three Dimensions[J].Journal of System Simulation,2010,22(3). | |
| Authors: | SONG Tian-li AN Wei-lian WANG Shu-ning |
| Institution: | SONG Tian-li1,2,AN Wei-lian2,WANG Shu-ning1 (1. Department of Automation,Tsinghua University,Beijing 100084,China,2. Equipment Institute of Second Artillery,Beijing 100085,China) |
| Abstract: | 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 fo... |
| Keywords: | three-dimensional shot accuracy SEP (spherical error probable) Winterbottom expansion Cornish-Fisher first-order adjustment |
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