基于截尾正态分布的最大值指标精度换算方法

提出了基于截尾正态分布的最大值指标精度换算方法，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 等常用精度指标间的换算关系，最后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。

One Maximum-error Specification Oriented Precision Conversion Methodology Based on Truncated Normal Distribution Theory

This paper brings forward a maximum-error specification oriented precision conversion methodology based on truncated normal distribution theory, 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. Firstly, it is assumed that the conformity probability of the observation sequence is subjected to logarithmic truncated normal distribution; Then basing 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 is proved and derived, thus the precision conversion relationships between maximum-error specification and other precision measurement specifications, such as , are turned out; Lastly, with referring corresponding theories on precision instrument fields, the determination methodology for precision class of true value measurement systems under maximum-error specification literature is given. And with the application of the methodology on related example cases, it is proved feasible by corresponding test results.