Jurkevich方法的误差分析

Error Analysis by Jurkevich Method

基于Jurkevich方法原理的基础上,推导并讨论了该方法的误差公式,构造虚拟信号对误差公式进行讨论。最后使用该方法研究了耀变体PKS 2155-304光学I波段光变曲线的光变周期。通过对平均误差为0.01的耀变体PKS 2155-304光学I波段的光变曲线进行了周期分析,得到的Jurkevich方法误差的平均值为4.51×10-4,标准差为1.96×10-4,以及PKS 2155-304在光学I波段可能具有(314.17±11.91)d的光变周期。进一步验证了Jurkevich方法是一种研究光变周期误差极小的方法,即使在待分析数据误差极大的情况下,该方法的误差对低谷的选取和F判据的使用均无影响。

Based on the principle of Jurkevich method, the error formula of the method is derived and discussed. Finally, the periodicity of the light curve in the PKS 2155-304 optical I band is studied by using this method. The average error of the Jurkevich method is 4.51 × 10 -4, the standard deviation is 1.96 × 10 -4, and PKS 2155-304 has a quasi-period that is （314.17＋11.91） d in the optical I band. It is further verified that the method of Jurkevich is a method to study the minimum error of the period. Even if the error of the data to be analyzed is very large, the error of this method has no itffluenee on the selection of trough and the use of F criterion.