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19 August, 12:44

g X, Y, and Z are all estimators of the same parameter. X and Y are unbiased estimators, while Z is biased. Also, the variance of X is larger than the variance of Y which is larger than the variance of Z. What can you conclude about in this case about the relative efficiency of these estimators

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  1. 19 August, 13:04
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    Step-by-step explanation:

    Going by variance size, Estimator Z is relatively more efficient than Estimator Y and Estimator Y is relatively more efficient than Estimator X.

    By bias, estimators X and Y would have been preferred to estimator Z but if estimator Z has small bias, it should be more efficient than X and Y, especially as it has the smallest variation (variance) from the true value of the variable.
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