My guess is that if the dead man was really a thief it was probably a good shoot. A thief doesn't have the right to attack someone attempting a citizen's arrest on him.
If the dead man was just an innocent jogger, it was almost certainly a bad shoot. Being confronted with two men with guns out of the blue would make an innocent person think he was probably in mortal danger.
Given that I don't know if the deceased was stealing from the neighborhood, I don't know if it was a good shoot or not. And I don't think I ever will.
That's a big fat hairy negative there ghostrider.
You can only do a citizens arrest (in places where you can at all) if you see the guy
actually committing the crime. Even if this guy was the thief they thought he was (i.e had broken into homes in the neighborhood previously) he was jogging at the time. They had no right to stop him at all, certainly not armed.
I agree with Colion Noir: if I'm jogging and a truck pulls in front of me, and two armed people get out, the gunfight has started at that point. Arbary didn't have an effetive means to defend himself, but he did his best against two armed attackers.
There may be some other facts coming forward, but based on the video, and the statements of the shooters thmeselves, this is going to be a very hard shoot to justify.