Quote from optionsgirl:
There's a whole field of statistical arbitrage, but I think this is usually taking into account of analysis of extraneous factors like volatility, fundamentals, technicals, etc. I suppose you might be able to construct an option position to exploit pairs trading, but I'm not sure if that would be worthwhile either.
The only way I've ever found to do this is purely theoretical...once you bring in the transaction cost of retail commisions when you need to rebalance combined with the fact that when your talking less capital/fewer contracts, the spread because less granular and the difference in real world fills chews up the strategy along with the commision.
Maybe a more interesting idea would be to drop the arb part, since that is simply not realistic and look at something akin to "stat based directional positions with a semi hedge".