Introduction to turbulence/Statistical analysis/Generalization to the estimator of any quantity
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Similar relations can be formed for the estimator of any function of the random variable say <math>f(x)</math>. For example, an estimator for the average of <math>f</math> based on <math>N</math> realizations is given by: | Similar relations can be formed for the estimator of any function of the random variable say <math>f(x)</math>. For example, an estimator for the average of <math>f</math> based on <math>N</math> realizations is given by: | ||
| + | |||
| + | <table width="100%"><tr><td> | ||
| + | :<math> | ||
| + | F_{N}\equiv\frac{1}{N}\sum^{N}_{n=1}f_{n} | ||
| + | </math> | ||
| + | </td><td width="5%">(2)</td></tr></table> | ||
Revision as of 11:05, 10 June 2006
Similar relations can be formed for the estimator of any function of the random variable say 
. For example, an estimator for the average of 
based on 
realizations is given by:
|
| (2) |
