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Jul 3, 2017 at 8:08 history edited Tim CC BY-SA 3.0
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Jun 29, 2017 at 8:01 history edited Tim CC BY-SA 3.0
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Jun 28, 2017 at 14:55 history edited Tim CC BY-SA 3.0
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Jun 28, 2017 at 11:19 comment added Cagdas Ozgenc It is not a criticism. Additional remarks. The other answers were not comprehensive enough to comment on.
Jun 28, 2017 at 11:17 comment added Tim @CagdasOzgenc I am explicitly stating that this applies to arithmetic mean.
Jun 28, 2017 at 11:16 comment added Cagdas Ozgenc This holds for the plain vanilla mean estimator, not for the population mean (in the limit), or more sophisticated mean estimators. In fact most shrinkage estimators yield a lower mean (in absolute terms) compared to the vanilla estimator, hence that level doesn't really balance.
Jun 28, 2017 at 11:13 history answered Tim CC BY-SA 3.0