Statistical relations are useful tools to comprehend the intrinsic physics processes of gamma-ray bursts (GRBs). In this work we collect spectral lag (τ), variability (V) and optical peak time (t _p,o). We find that there is a correlation between variabilities and spectral lags, reading as V = −0.0075 (0.0007) log₁₀ τ + 0.0351 (0.0024). There may also exist a relatively weak positive tendency between GRBs optical band peak times and their spectral time lags. Its Pearson coefficient is 0.398, which indicates a weak linear correlation. If we contain some “negative spectral lag” samples, then the latter relation would be worse due to two outlying points. The τ-V relation is consistent with previous studies, and the positive trend between τ and t _p,o indicates the spectral lag of GRB might be caused by the curvature effect, but this conclusion is not significant.

统计关系是理解伽马射线暴 (GRB) 的内在物理过程的有用工具。在这项工作中，我们收集光谱滞后 ( τ )、可变性 ( V ) 和光学峰值时间 ( t _p,o )。我们发现变异性和光谱滞后之间存在相关性，读数为V = -0.0075 (0.0007) log ₁₀ τ + 0.0351 (0.0024)。GRB的光带峰值时间与其光谱时间滞后之间也可能存在相对较弱的正趋势。其 Pearson 系数为 0.398，表明线性相关性较弱。如果我们包含一些“负光谱滞后”样本，那么由于两个离群点，后一种关系会更糟。τ - _V关系与前人研究一致，τ与t _p,o呈正趋势表明 GRB 的光谱滞后可能是由曲率效应引起的，但该结论并不显着。