[R] Combination of Bias and MSE ?

[Viechtbauer Wolfgang (STAT)]

The MSE of an estimator X for a parameter theta is defined as E(X - theta)^2, which is equal to Var[X] + (Bias[X])^2, so in that sense, the MSE is already taking the bias of X into account.

Hope this helps,

-- 
Wolfgang Viechtbauer 
 Department of Methodology and Statistics 
 University of Maastricht, The Netherlands 
 http://www.wvbauer.com/ 


> -----Original Message-----
> From: r-help-bounces at stat.math.ethz.ch [mailto:r-help-
> bounces at stat.math.ethz.ch] On Behalf Of Amir Safari
> Sent: Wednesday, April 05, 2006 5:20 PM
> To: R-help at stat.math.ethz.ch
> Subject: [R] Combination of Bias and MSE ?
> 
> 
> 
>     Dear R Users,
>   My question is overall and not necessarily related to R.
>   Suppose we face to a situation in which MSE( Mean Squared Error) shows
> desired results but Bias shows undesired ones, Or in advers. How can we
> evaluate the results. And suppose, Both MSE and Bias are important for
> us.
>   The ecact question is that, whether there is any combined measure of two
> above metrics.
>   Thank you so much for any reply.
>   Amir Safari
> 
> 
> 
> 
> 
> ---------------------------------
> 
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