...The main advantage is that MINIBIAN has a very small footprint, boots in some seconds and uses just few of precious RPi RAM.
Unlike other similar projects, MINIBIAN has not been obtained purging unneeded packages from original image, neither recompiling the source code: it’s just a customized Raspbian installation obtained from the same repository used for official RPi image.
So kernel and binary files are exactely the same you will find on standard image, with the difference that MINIBIAN fit on 1GB SD Card, is fastest, and updated more often.