A random process is ergodic if all of its statistics can be determined from a
sample function of the process. That is, the ensemble averages equal the
corresponding time averages with probability one.
Role of Ergodicity in Human Inference
A newspaper has previously printed some inaccurate information, therefore, the
newspaper is going to publish inaccurate information in the future. Fair;
ensemble of published articles is more or less ergodic.
More crimes are committed by black persons than by white persons, therefore each
individual black person is not to be trusted? The ensemble of black people is
not at all ergodic!