Relative Efficiency
If and are estimators for the parameter, then is said to dominate if:
- its mean squared error (MSE) is smaller for at least some value of
- the MSE does not exceed that of for any value of θ.
Formally, dominates if
holds for all, with strict inequality holding somewhere.
The relative efficiency is defined as
Although is in general a function of, in many cases the dependence drops out; if this is so, being greater than one would indicate that is preferable, whatever the true value of .
Read more about this topic: Efficient Estimator
Famous quotes containing the words relative and/or efficiency:
“She went in there to muse on being rid
Of relative beneath the coffin lid.
No one was by. She stuck her tongue out; slid.”
—Gwendolyn Brooks (b. 1917)
“Never hug and kiss your children! Mother love may make your childrens infancy unhappy and prevent them from pursuing a career or getting married! Thats total hogwash, of course. But it shows on extreme example of what state-of-the-art scientific parenting was supposed to be in early twentieth-century America. After all, that was the heyday of efficiency experts, time-and-motion studies, and the like.”
—Lawrence Kutner (20th century)