Can someone concisely clarify the distinction between an ergodic process and a stationary one? Specifically, can anyone provide examples of processes that are ergodic but not stationary or vice-versa? You don't need to provide the definitions; I know what the words mean. But it seems to me that a stationary time series (such as one with the same mean and variance for any sub-interval) would automatically have these same parameters if one took an infinitely long sample of the process, implying ergodicity. What am I missing here? Thanks!