I have some valuables in my home but nothing worth risking my life over. Likewise if I was walking down the street and robbed at gunpoint or driving in my car.
What I can I, in the situation of being subject to an armed robbery, do to increase my chances of not getting killed?


Real talk. How on earth do you think this works? There isn’t a magic sol toution here. There’s no way to increase your survivability, realistically. You can try to be as prepared as possible, I suppose, but these situations are so rare and random and case by case there’s no real way to increase your odds to not be killed as a blanket statement.
Disagree. Your chances of survivability go up significantly by not resisting - see @Corporal_Punishment’s reply.
First, I don’t trust the police.
Complying might be the best option in a number of scenarios but like I originally said every situation is going to be different. We can easily game out situations where complying would be the worst option for survival.
The question is pretty absurd. Even if, on the whole complying would increase survival in an “armed robbery” situation, it really isn’t actionable advice.