In Australia, a State Funeral comes in degrees. It can be anything from full-on ceremonial with horses' carriage, military and bands to relatively simple gatherings.
It basically means the Government picks up the tab and certain protocols are followed as a result.
OK. That's what I was thinking earlier. Gov't sponsored funerals usually come in three and sometimes four degrees (official, ceremonial, and state funeral). In some places they have the distinction of what is called a solemn official funeral (Princess Diana's funeral would be an example). Not quite a full blown state funeral but still high end in the ceremony department. In this country cabinet members Supreme Court Justices and state governors would get something like that.