Sentence:  Kim Jong Il, incidentally, has been made head of the party and of the army, but the office of the presidency is still “eternally” held by his adored and departed dad, who died on July 8, 1994, at 82. (The Kim is dead. Long live the Kim.) This makes North Korea the only state in the world with a dead president. What would be the right term for this? A necrocracy? A <WSD>thanatocracy</WSD>? A mortocracy? A mausolocracy? 
Meaning of the word marked with <WSD> tags:  Nominal governance by a dead person, through posthumous holding of an official position of authority, or by popular veneration and lasting influence of a personal ideology; necrocracy.