The word of the day is intestate:

< Latin intestāt-us, < in- (in- prefix³) + testātus, past participle of testārī to bear witness, to make a will. Compare French intestat (13th cent. in Godefroy Compl.).

 Of a person: Not having made a will  (OED)

"When Swedes die intestate, everything is awarded to their kin -  a strange law in a country where unregistered unions are almost the rule.  In any case, Larsson's money has gone to the two surviving members of his immediate family, his father and his brother."

 - Joan Acocella, "Man of Mystery: Why do people love Stieg Larsson's novels?", 10 January 2011 The New Yorker