Time series forecasting on dsp embedded systems
I'm not sure why you oppose statistical signal processing to digital signal processing, they are not mutually exclusive. If you perform statistical signal processing with non-continuous quantized samples, you perform digital signal processing.

Second of all, if you are using a microcontroller, you are likely to have limited RAM resources. Can you clarify what kind of algorithms you are using? You need to estimate the RAM resources required for your algorithms.