# Introduction to turbulence/Statistical analysis/Generalization to the estimator of any quantity

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 Revision as of 08:55, 10 June 2006 (view source)Michail (Talk | contribs)← Older edit Revision as of 11:05, 10 June 2006 (view source)Michail (Talk | contribs) Newer edit → Line 1: Line 1: Similar relations can be formed for the estimator of any function of the random variable say $f(x)$. For example, an estimator for the average of $f$ based on $N$ realizations is given by: Similar relations can be formed for the estimator of any function of the random variable say $f(x)$. For example, an estimator for the average of $f$ based on $N$ realizations is given by: + +
+ :$+ F_{N}\equiv\frac{1}{N}\sum^{N}_{n=1}f_{n} +$ + (2)
Similar relations can be formed for the estimator of any function of the random variable say $f(x)$. For example, an estimator for the average of $f$ based on $N$ realizations is given by:
 $F_{N}\equiv\frac{1}{N}\sum^{N}_{n=1}f_{n}$ (2)