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