Efficient Estimator

  • Definition
  • Related theorems
Home

❯

mathematics

❯

Introduction to Mathematical Statistics

❯

Efficient Estimator
  • Definition
  • Related theorems

Efficient Estimator

Apr 09, 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

  • Deciding Recall Difficulty of Kaishi 1.5k

    May 03, 2026

    • Tips in Memorizing Kaishi 1.5k

      May 03, 2026

      • Learn Japanese

        May 03, 2026

        • Choosing Recall Difficulty of Anki Cards

          May 03, 2026

          • studying

            May 03, 2026

            • type/category

          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