Efficient Estimator

  • Definition
  • Related theorems
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Introduction to Mathematical Statistics

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Efficient Estimator
  • Definition
  • Related theorems

Efficient Estimator

Feb 22, 20261 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

Recent Notes

  • rangkuman_202603011304

    Mar 16, 2026

    • forecasting methods

      Mar 16, 2026

      • type/category
    • ARIMA(p,d,q) Model

      Mar 16, 2026

      • ARMA(1,1) Process Model

        Mar 16, 2026

        • Moving Average Process (MA(q))

          Mar 16, 2026

          Graph View

          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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