The present invention relates to a method and an apparatus for monitoring an operational state of a system on the basis of telemetry data, wherein the operational state is either a nominal operation state or a novel operation state, the novel operation state being a state different from the nominal operation state, and the telemetry data comprises time series data of at least one parameter of the system indicating the operational state of the system over time. According to the invention, the method comprises: obtaining sample interval data indicating time series data of a parameter of the at least one parameter of the system relating to a time interval of a predetermined duration; determining one or more characteristic quantities of the sample interval data, the one or more characteristic quantities determined at this step forming a sample set of characteristic quantities; obtaining a plurality of pre-stored sets of characteristic quantities, wherein the plurality of pre-stored sets of characteristic quantities relate to the parameter of the at least one parameter of the system and to a plurality of time intervals of the predetermined duration during which the system was in the nominal operation state; determining a probability of the sample set of characteristic quantities being an outlier with respect to the plurality of pre-stored sets of characteristic quantities; and if the determined probability exceeds a threshold probability, providing a message indicating at least one of the sample interval data and the parameter of the at least one parameter of the system or just notifying that no novel behaviors were found.
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