Cognomen Yelibayev (Елибаев 
, Yelibayev) , across the world, is a rare family name. The cognomen Yelibayev is habitual in Azerbaijan, where it is quite a rare surname, Kazakhstan, and Kyrgyzstan, where it is a very rare surname. Measured by absolute frequency, the name is most common in Azerbaijan, Kazakhstan, and Russia. Very seldom, Yelibayev is the forename as well as the last name.