kb:ergodicity

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kb:ergodicity [2021-05-05 01:03] – ↷ Page moved from kb:probstat:ergodicity to kb:ergodicity jaeyoungkb:ergodicity [2024-04-30 04:03] (current) – external edit 127.0.0.1
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 For an ergodic random process, the time average of each of its instances equals the ensemble mean of the process. For an ergodic random process, the time average of each of its instances equals the ensemble mean of the process.
  
-A process is ergodic if its autocovariance goes to zero as $n$ or $t$ goes to $\pm \infty$.+A process is ergodic if its autocovariance goes to zero as $n$ or $t$ goes to $\pm \infty$. Alternatively, it is ergodic if the fluctuation spectral density has no impulse at zero frequency.
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