RMS output is about 70% of peak output, and peak to peak is double peak output. Peak output is not about short term maximum output, like say a generators peak output, it's the highest positive voltage of the output waveform.
A lot of manufacturers like to boast about their large amplifier outputs so as most of them are stereo they quote 2 x peak to peak output.
Incidentally our 240v mains electricity is the RMS value so if you were to use the peak to peak value it would be About 650 volts.
It all came about to give a comparison with DC. If you feed 240vdc into a heater you would get the same heating effect out as feeding 240vac rms into the same heater.
Hope this helps in a small way lol