Efficient Estimator

  • Definition
  • Related theorems
Home

❯

mathematics

❯

Introduction to Mathematical Statistics

❯

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

Recent Notes

  • Likelihood Ratio Test

    Dec 12, 2025

    • Internal Links for Weekly Material

      Dec 12, 2025

      • Neyman-Pearson Theorem

        Dec 11, 2025

        • Common Distribution Equations

          Dec 11, 2025

          • 4.2 Confidence Intervals

            Dec 11, 2025

            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

            Created with Quartz v4.5.2 © 2026

            • GitHub
            • Discord Community