Is there a way to have the master process log to STDOUT STDERR instead of to a file?
It seems that you can only pass a filepath to the access_log directive:
If the question is docker related... the official nginx docker images do this by making softlinks towards stdout/stderr
RUN ln -sf /dev/stdout /var/log/nginx/access.log && ln -sf /dev/stderr /var/log/nginx/error.log
REF: https://microbadger.com/images/nginx