1. A computer-implemented method for analyzing telemetry data from a monitored system, comprising: periodically obtaining the telemetry data as a set of telemetry variables from the monitored system; updating a multidimensional real-time distribution of the telemetry data using the obtained telemetry variables; analyzing a statistical deviation of the multidimensional real-time distribution from a multidimensional reference distribution for the monitored system using a multivariate sequential probability ratio test (SPRT); assessing the integrity of the monitored system based on the statistical deviation of the multidimensional real-time distribution; and if the assessed integrity falls below a threshold, determining a fault in the monitored system corresponding to a source of the statistical deviation.