Asked by Amvinder Khubber on Sep 29, 2024

If there are two unbiased estimators of a population parameter available,the one that has the smallest variance is said to be:

A) a biased estimator.
B) relatively efficient.
C) consistent.
D) relatively unbiased.

Unbiased Estimators

Statistical estimators that, on average, accurately predict the value of a population parameter without systematic error.

Smallest Variance

The smallest degree of spread or dispersion of observations around the mean in a dataset, indicating less variability.

Relatively Efficient

Refers to a process or system that achieves its goals with comparatively minimal waste of time, resources, or energy.

  • Pinpoint the essential qualities of optimal estimators, notably unbiasedness, consistency, and relative efficiency.
  • Delineate the parameters for the selection between differing estimators.