Out of curiosity about how many visitors I might have daily I finally enabled some very basic logging in nginx. Because the privacy of my visitors is important to me I do not log anything about the visitors, just which files nginx read so I can do some analysis on that.
Here are the relevant parts of the nginx.conf:
log_format fmt '$request_filename'; access_log /var/log/nginx/nginx.log fmt;
If you are concerned about your ISP, my VPS providor, their ISP, your government, my VPS privider's government, any other government or NSA logging you then consider using the onion version of this site. All of the HTML pages also link to an onion version of themselves.