给我润色一下论文。The a priori fault probability and rate of real-time satellite precise orbit and clock are two critical parameters for precise point positioning PPP integrity evaluation In order to estimate

The a priori fault probability and rate of real-time satellite precise orbit and clock are critical parameters for evaluating the integrity of precise point positioning (PPP). To accurately estimate these parameters using fault detection, it is necessary to construct a test statistic that characterizes the ranging error induced by satellite orbit and clock errors. However, some error components, such as initial clock biases (ICBs), do not affect PPP accuracy. Therefore, we propose a new test statistic that removes the mean bias of satellite clock errors. We evaluate and detect faults in real-time satellite precise orbit and clock products to study the impact of eliminating ICBs on the test statistic and fault performance. Our results demonstrate that the magnitude of the test statistic improves from dm to cm-level, and the fault probability and rate are at and levels, respectively. Additionally, the fault probability and rate are time-dependent and vary based on the quality of real-time satellite precise orbit and clock products at different time windows.