Still alive as far as I'm aware, they seem to be arguing amongst themselves as to a successor at the moment. Think they need to decide on a burial place that won't cause even more conflict, Arafat wanted to be buried in Jerusalem which is not going down well with Israel
Until the burial ground is chosen they will no doubt refuse to turn of the life-support machine as due to religious customs Arafat must be buried within 24 hours of "dying". They are saying that due to the circumstances this may be overlooked this time, who knows
BBC link