Consistent estimator: Difference between revisions

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== Bias versus consistency ==
[[Bias of an estimator|Bias]] is related to consistency as follows: a sequence of estimators is consistent [[if and only if]] it converges to a value and the bias converges to zero. Consistent estimators are convergent and ''asymptotically'' unbiased (hence converge to the correct value): individual estimators in the sequence may be biased, but the overall sequence is still consistent, if the bias converges to zero. Conversely, if the sequence does not converge to a value, then it is not consistent, regardless of whether the estimators in the sequence are biased or not.
 
=== Unbiased but not consistent ===