I would like to start a web business but I'd like to remain anonymous, So I'm wondering, how one can achieve this? As an example the sites Inputs.io for storing bitcoins or now the defunct site silkroad.com, both of which were rather popular sites and did business.

Please note that I'm not planning to have any "illegal" business, but for me the anonymity is important, and I'd like to learn more about it, from registering the domain name, hosting it, all the way to being able to perform ecommerce transactions.

Any ideas and references for further reading would be welcome