Quote from futuretrading:
Edge is just a general term used to describe the fact of positive expectancy, eg. a statistical advantage.
Casinos make large profits because all their games have a built in mathematical edge on their side. Over the long term they will make more money than they lose. Period. If you don't have an edge (long term mathematical advantage) the best you can hope to do is break even. In trading though you won't even get that far because the odds are stacked against you to begin with (commish, slippage, emotions). Without an advantage you will lose money slowly, or all at once.
In the context of trading most people's edge is a system that they have tested an defined rigorously and have found to make them more money than they lose, giving them the advantage. This could be based on price action, canned indicators, fib numbers, phases of the moon, or their astrological sign...as long as it gives them a positive expectancy over the long term (yielding profit), its an edge.