Why is $$\frac{\sum_{i=1}^n \log(X_i)}{n} = \overline{log X}$$ ($X_i$ are i.i.d samples)
2026-04-04 02:32:01.1775269921
Why is $\frac{\sum_{i=1}^n \log(X_i)}{n} = \overline{log X}$
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It is the notation convention. If a function $f$ is defined for all possible values $X_i$ in your sample, then $$\overline {f(X)} = \frac1n\sum_{i=1}^nf(X_i).$$