  Ultra-reliable low-latency communication enables new use cases for mobile
radio networks. The ultra-reliability (UR) regime covers outage probabilities
between $10^{-9}$ and $10^{-5}$, obtained under stringent latency requirements.
Characterisation of the UR-relevant statistics is difficult due to the rare
nature of outage events, but diversity defines the asymptotic behaviour of the
small-scale fading distributions' lower tail. The UR-relevant regime in
large-scale antenna systems behaves differently from the tail. The generalising
local diversity at a certain outage probability shows this difference clearly.
For more than four independent antenna elements, the classic diversity
overestimates and underestimates the slope of the cumulative density function
for weak and strong deterministic channel components, respectively.
