Efficient Estimator

  • Definition
  • Related theorems
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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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        Related notes

        • 2025-08-08
        • Internal Links for Weekly Material
        • Maximum Likelihood Estimator (mle)
        • Bottom-Up Learning Approach
        • Chapter 8 Exercises
        • 6.2 Rao-Cramér Lower Bound and Efficiency
        • Introduction to Mathematical Statistics

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