Ionospheric scintillation is one of the most challenging problems in Global Navigation Satellite Systems (GNSS) positioning and navigation. Scintillation occurrence can not only lead to an increase in the probability of losing the GNSS signal lock but also reduce the precision of the pseudorange and carrier phase measurements, thus leading to positioning accuracy degradation. Statistical models developed to estimate the probability of loss of lock and Geometric Dilution of Precision normalized 3D positioning errors as a function of scintillation levels are presented. The models were developed following the statistical approach of nonlinear regression on data recorded by Ionospheric Scintillation Monitoring Receivers operational at high and low latitudes. The validation of the probability of loss of lock models indicated average correlation coefficient values above 0.7 and average Root Mean Squared Error (RMSE) values below 0.35. The validation of the positioning error models indicated average RMSE values below 10 cm. The good performance of the developed models indicates that these can provide GNSS users with information on the satellite loss of lock probability and the error in the 3D position under scintillation.

电离层闪烁是全球导航卫星系统（GNSS）定位和导航中最具挑战性的问题之一。闪烁的发生不仅会导致丢失GNSS信号锁定的可能性增加，还会降低伪距和载波相位测量的精度，从而导致定位精度下降。提出了统计模型，该模型用于估计丢失锁的概率以及精确度归一化的3D定位误差作为闪烁水平的函数的几何稀释度。这些模型是根据对在高纬度和低纬度下运行的电离层闪烁监测接收器记录的数据采用非线性回归的统计方法开发的。锁模型丢失概率的验证表明，平均相关系数值高于0.7，平均均方根误差（RMSE）值低于0.35。定位误差模型的验证表明平均RMSE值低于10厘米。所开发模型的良好性能表明，这些模型可以为GNSS用户提供有关卫星失锁概率和闪烁下3D位置误差的信息。