The Cramér‐Rao lower bound on variance: Adam and Eve's “uncertainty principle” Available to Purchase

The editorial aims to describe the importance of the Cramér‐Rao lower bound (CRLB) in matters of risk, and consider why this inequality generally receives less attention than it deserves.

The CRLB is discussed in the context of other celebrated equations, one of which (Heisenberg's uncertainty principle) is actually implied by the CRLB. A hypothetical world with no randomness on the macroscopic level is then imagined, and the role of the CRLB in that world is considered.

It is found that in a world with no macroscopic uncertainty, the CRLB would play a central role in describing the “counterintuitive” concept of randomness.

The editorial identifies and explores an important epistemological result that is under‐appreciated.