Can I host/sell my application outside of the NeuroSky Store?

Yes. However, the NeuroSky Store provides a very convenient distribution channel with a targeted audience and managed bandwidth. People who come to the store to purchase headsets will also be looking for games and applications. End-users are also reassured that games/programs hosted on the Store have been reviewed by NeuroSky for content and utility. Lastly, as the developer, you get to keep almost all of the revenue from sales made through the NeuroSky Store (with a small fraction of the revenue kept by NeuroSky for maintenance and bandwidth). For all these reasons, it is generally to your advantage to sell your game or program at the NeuroSky Store.

http://store.neurosky.com/collections/applications