Their techniques are completely different from what I can see..... Paul is much more an out and out rock/metal guitarist using the whammy bar to bend and hold the notes and with liberal use of a Wah-Wah pedal as well as a volume pedal. Randy on the other hand is as I've said more bluesy rock to me, a much more laid back style with liberal use of a bottle neck when he's into his slide moments.
Neither of them can hit the notes right though as they both have to keep bending the strings to make the note sound right