With the modernization of GPS and other constellations becoming operational (e.g., GLONASS, Galileo, and BDS), advanced receiver autonomous integrity monitoring (ARAIM) has been developed by taking advantage of dual-frequency and multi-constellation measurements (Blanch et al., 2015). As an airborne application, ARAIM can support stringent services globally with vertical guidance (e.g., localizer precision vertical 200-feet decision height [LPV-200; Working Group C, 2015]). Since satellite signals may fail in the process of production, transmission, and reception, the developers of ARAIM developed an integrity support message (ISM) for bounding position error within the required integrity budget by the protection level (PL; Working Group C, 2016). ISMs consist of various integrity parameters including user range error (URE), user range accuracy (URA), probability of single satellite fault (P sat ), probability of constellation fault (P const ), and nominal bias (b nom ), which are statistical measures of the range error caused by the control and space segments.URE refers to a 1σ bound of the nominal broadcast orbit and clock errors, while signal-in-space range error (SISRE) acts as the error, itself. URA is broadcast by constellation service providers-a satellite is considered to have a service failure if the global average SISRE is greater than 4.42-times the URA value (DoD, 2020). The probability of single satellite fault is defined as P sat , while P const is the probability that more than one satellite is faulty (Walter et al., 2019). Based on the ARAIM baseline algorithm (Working Group C, 2016), smaller P sat and P const values can result in more than necessary integrity risk allocated for the fault hypothesis with