Methods for using statistical analysis to monitor performance of new network infrastructure and applications for deployment thereof. A method monitors a release of executing software applications or execution infrastructure to detect deviations in performance. A first set of time-series data is acquired from executing software applications and execution infrastructure. A first statistical description of expected behavior is derived from the first set of acquired data. A second set of time-series data is acquired from the monitored release of executing software applications and execution infrastructure. A second statistical description of behavior is derived from the second set of acquired data. The first and second statistical descriptions are compared to identify instances where the first and second statistical descriptions deviate sufficiently to indicate a statistically significant probability that an operating anomaly exists within the monitored release of executing software applications and execution infrastructure.