Family name Бочкаі (Bocskay 
, Бочкаі 
) , in the entire world, is a rare cognomen. The cognomen Бочкаі is characteristic of Hungary, where it is quite a rare surname, Romania, where it is a rare surname, and Austria. Not in comparison with a country's population, the name is most common in Hungary, Romania, and the United States. Very seldom, Бочкаі is the forename as well as the last name.