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Results tagged with sufficient-statistics
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user 282272
A sufficient statistic is a lower dimensional function of the data which contains all relevant information about a certain parameter in itself.
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How to show that a sufficient statistic is NOT minimal sufficient?
As you stated:
If there exist $x_1,x_2\in X$ such that $f(x_1)=f(x_2)$ but $g(x_1)\ne g(x_2)$, then $g$ can not be written as a function of $f$, i.e. there exists no function $h$ with $g=h∘f$.
So, f …
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