Prove that (operatorname{MSE}(hat{theta}, theta)) can be decomposed into two parts given by [operatorname{MSE}(hat{theta}, theta)=operatorname{Bias}^{2}(hat{theta}, theta)+V(hat{theta})] where (operatorname{Bias}(hat{theta},
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Prove that \(\operatorname{MSE}(\hat{\theta}, \theta)\) can be decomposed into two parts given by
\[\operatorname{MSE}(\hat{\theta}, \theta)=\operatorname{Bias}^{2}(\hat{\theta}, \theta)+V(\hat{\theta})\]
where \(\operatorname{Bias}(\hat{\theta}, \theta)=E(\hat{\theta})-\theta\).
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