Murray Spivack was a Russian-born American sound engineer. He was also a drum teacher whose students included Louie Bellson, Joe Morello, David Garibaldi, Vinnie Colaiuta, Chuck Silverman, Chad Wackerman, Ed Shaughnessy, and many more.
Some years ago I was at the masterclass of drummer Phil Maturano and he spoke about the Spivack technique, I had never heard this before, it was very interesting and caught my curiosity…
Recently my drum teacher spoke to me about this technique, explaining the fundamentals, and the grip, introducing a series of exercises playing the Stick Control (Single Beat Combinations) at very slow metronome speed, focusing on the grip and the mechanic of the stroke.
If you are interested to know more about this method check out these products.
Murray Spivack: A Lesson with Louie Bellson
Basic Snare Drum Technique – Chuck Silverman
Watching this video will help you to understand the grip.
Francis' Drumming Blog 
I’m not an expert of the Spivack technique but I think, talking with the drum teacher who let me know this method, the stick is almost “inline” with the forearm. Just a natural continuation of the forearm.
I suggest you this video: https://www.youtube.com/watch?v=wo3aCHKW18c
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