I've now got over 5000 reputation, which I see means I can approve edits to tag wikis. However, I can't edit tag wikis until I reach 20000 reputation (see tag info for the 'distributions' tag, for example). Is this a mistake? If not, could someone explain the logic behind this? It seems completely back-to-front to me. I'm trusted to decide whether other people's edits to tag wikis are useful, but I'm not trusted enough to make edits to tag wikis myself. Huh?
Making an edit is like posting a reply (which should require some reputation); approving an edit is like voting a reply up (which requires no reputation at all). Seems consistent to me.
What I don't understand is why such a huge reputation (20K/5K) is needed to do anything with these wikis. That precludes their development at this stage and effectively deprecates their value.
(Part of the problem here is that 20K rep is almost nothing on a site like SO where questions get hundreds of votes but is much harder to achieve on a site like this where questions average only four or so votes apiece. But that's a bigger issue...)
I tried editing wiki yesterday. I chose econometrics. The process was quite painless, I was able to edit, but somebody else had to approve it. The question is who has the right to approve? If it is the moderators only then it is not good. If somebody with reputation over 5k, then it is no problem. Peer review is a good thing. The only question remains is of notification. From what I've read about new changes, the notifications of new edits are only for users with 10k of reputation. For tag wiki's there should be a better way of notifying users who can approve the edits.