efficient=

introduction==

%%visits: 5 So the variation and the amount of information we can get from a parameter is dependant on the efficiency. The more variance, or fisher_information, the less efficient the end variable is. ## intuition== ## rigour== efficienc := $eff(\hat{\theta}_n) = \frac{1}{I_n(\theta) var(\hat{\theta})}$

efficien := if eff(θ̂n) = 1 then we say that the estimator is efficient.

assymptotically efficien := if limn → ∞eff(θ̂) = 1 then the estimator is asymptotically efficient.

exam clinic==

examples and non-examples==

resources==

[[Fisher_information]] [[variance]] {{file:../figures/screenshot_20211216_102027.png}} tags :math:

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