IEVref: | 103-08-06 | ID: | |

Language: | en | Status: Standard | |

Term: | ergodic, adj | ||

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Definition: | pertaining to a stationary random function for which the mean values in time are identical to the corresponding expectations: $\underset{T\to \infty}{\text{lim}}\frac{1}{2T}{\displaystyle {\int}_{-T}^{+T}}f(t)\mathrm{d}t=E[f(t)]$ | ||

Publication date: | 2009-12 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO 2017-08-25: Delete one <mrow> tag and added one </mrow> elsewhere in order to attempt to correct <mrow> tag problem. LMO | ||

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$\underset{T\to \infty}{\text{lim}}\frac{1}{2T}{\displaystyle {\int}_{-T}^{+T}}f(t)\mathrm{d}t=E[f(t)]$