I trigger recording when power of current sample is X dB greater than last Y samples, what is the terminology here? Doing time domain processing of incoming audio. I sample the power level every 0.25s and keeping a running average of intensity over 5 samples. When the power level of the current sample is 10dB greater than the moving average, we start recording.

What are the correct names for these numbers? I also use the same method to trigger recording stop. Is this the same terminology?

I have the code and will use your suggestion to name the variables correctly.

Thank you.
"Running average" is fine. You can also call it the moving average.

I suppose you could call the variable associated with the 10dB number the signal detection threshold.