| 引用本文: | 韩旭,孙翱.最大值指标截尾正态分布精度换算方法.[J].国防科技大学学报,2015,37(5):110-115.[点击复制] |
| HAN Xu,SUN Ao.Precision conversion methodology with truncated normal distribution theory assumption oriented to maximum-error specification[J].Journal of National University of Defense Technology,2015,37(5):110-115[点击复制] |
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| 最大值指标截尾正态分布精度换算方法 |
| 韩旭1,2, 孙翱1 |
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(1.中国人民解放军91550部队， 辽宁 大连 116023;2.
2. 中国人民解放军92493部队博士后工作站， 辽宁 葫芦岛 125001)
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| 摘要: |
| 提出了面向最大值指标的截尾正态分布精度换算方法，为最大值指标与常用精度指标间的精度换算以及真值测量系统精度指标的确定提供了参考依据。该方法假设系统输出序列中各观测点的合格概率服从对数截尾正态分布；根据给定最大值指标的置信水平及序列样本量，证明并推导了截尾正态分布之截尾上限、截尾下限、均值及标准偏差的计算公式，导出了最大值精度指标与1σ等常用精度指标间的换算关系；结合精密仪器有关理论给出了最大值指标下真值测量系统精度指标的确定方法。实例应用的实验结果表明，该方法是可行的。 |
| 关键词: 精度换算 截尾正态分布 最大值指标 |
| DOI：10.11887/j.cn.201505017 |
| 投稿日期：2014-11-14 |
| 基金项目:教育部博士点新教师基金资助项目（200802881012） |
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| Precision conversion methodology with truncated normal distribution theory assumption oriented to maximum-error specification |
| HAN Xu1,2, SUN Ao1 |
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(1. The PLA Unit 91550, Dalian 116023, China;2. Postdoctoral Workstation of the PLA Unit 92493, Huludao 125001, China)
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| Abstract: |
| A precision conversion methodology with truncated normal distribution theory assumption oriented to maximum-error specification was brought forward, and it could be taken as a reference frame for the precision conversion between maximum-error specification and other precision measurement specifications, so that the precision class of according true value measurement systems could be determined in advance. The method assumes that the conformity probability of the observation sequence is subjected to logarithmic truncated normal distribution; based on the aimed confidence level for maximum-error specification and the given sample size of target sequence, the calculation formulation of upper truncated limit, lower truncated limit, mean and standard deviation of the truncated normal distribution were proved and derived, thus the precision conversion relationships between maximum-error specification and other precision measurement specifications, such as 1σ, were turned out; through referring to the corresponding theories on precision instrument fields, the determination methodology for precision class of true value measurement systems under maximum-error specification was given. The application on related example cases proved the feasibility of the proposed method. |
| Keywords: precision conversion truncated normal distribution maximum-error specification |
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