| 极小子样试验的半经验评估方法 |
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| 引用本文： | 冯蕴雯,黄玮,吕震宙,宋笔锋,冯元生.极小子样试验的半经验评估方法[J].航空学报,2004,25(5):456-459. |
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| 作者姓名： | 冯蕴雯 黄玮 吕震宙 宋笔锋 冯元生 |
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| 作者单位： | 西北工业大学,飞机工程系,陕西,西安,710072 |
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| 基金项目： | 航空基金(03B53008、2000CB0501)，航天创新基金(2003CH0502)，国防基础科研计划先进工业技术项目(1 4 2 1)，西北工业大学英才培养基金资助项目 |
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| 摘 要： | 阐明了Bootstrap方法适用于子样数n≥5而不适用于子样数为n=1,2的情形,对于n=1,2的极小子样,给出了一种半经验评估方法,并提出了把n=1虚拟增广至n=5的半经验虚拟增广子样法与Bootstrap再抽样法相结合的极小子样评估方法,阐明了所提方法的立论依据与推导过程,给出算例并做了有益的讨论。
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| 关 键 词： | Bootstrap 增广子样 极小子样 试验评估 |
| 文章编号： | 1000-6893(2004)05-0456-04 |
| 修稿时间： | 2003年8月15日 |
The Semiempirical Evaluation Method for Extreme Small Sample Test |
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| FENG Yun-wen,HUANG wei,LU Zhen-zhou,SONG Bi-feng,FENG Yuan-sheng.The Semiempirical Evaluation Method for Extreme Small Sample Test[J].Acta Aeronautica et Astronautica Sinica,2004,25(5):456-459. |
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| Authors: | FENG Yun-wen HUANG wei LU Zhen-zhou SONG Bi-feng FENG Yuan-sheng |
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| Institution: | Department of Aircraft Engineering, Northwestern Polytechnical University, Xi' an710072, China |
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| Abstract: | The following concepts are explained: the appropriate number of test samples of Bootstrap method is n≥5, and Bootstrap method is not suitable for sample size n=1 or n=2. Due to this reason, two kinds of methods are presented to solve this problem . The first method is based on the simiempirical estimation theory. The virtualy resempling the sample size from n=1 to n=5 following the empirical distribution function and the Bootstrap method are then combined as the second method. The theoretical basis and derivation process of the second method are presented. Several useful discussions are given. An example is used to illustrate the concept and algorithm of these methods. |
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| Keywords: | Bootstrap resempling sample extreme small sample test evaluation |
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