CAJ | 학술논문

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。
제출료면향최대치지표적절미정태분포정도환산방법，위최대치지표여상용정도지표간적정도환산이급진치측량계통정도지표적학정제공료삼고의거。해방법가설계통수출서렬중각관측점적합격개솔복종대수절미정태분포；근거급정최대치지표적치신수평급서렬양본량，증명병추도료절미정태분포지절미상한、절미하한、균치급표준편차적계산공식，도출료최대치정도지표여1σ등상용정도지표간적환산관계；결합정밀의기유관이론급출료최대치지표하진치측량계통정도지표적학정방법。실례응용적실험결과표명，해방법시가행적。
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.