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Introduction to Mathematical Statistics

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Efficient Estimator
  • Definition
  • Related theorems

Efficient Estimator

Oct 13, 20251 min read

Definition

Let Y : Unbiased estimator of parameter θ

Then Y is an efficient estimator ⟺ Y attains the Rao-Cramér lower bound

Related theorems

  • Corollary 6.2.1 Rao-Cramér bound for unbiased estimators

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