(CNN)Actor John Hillerman died of natural causes Thursday at his home in Houston, Texas, his publicist, Lori De Waal, said. He was 84 years old. Hillerman was best known for his Emmy Award-winning work in the long-running detective series "Magnum, P.I." The stage-trained actor first made an impression as arrogant radio show detective Simon Brimmer on the NBC revival of "Ellery Queen" in 1975. Hillerman then took on notable roles as the boss of Bonnie Franklin on the long-running CBS sitcom "One Day at a Time," and trading sarcastic quips with Betty White in the short-lived sitcom "The Betty White...