Inconsistent Estimators

📊 Inconsistent Estimators

Sample Size (n):

Estimator 1: X̄ + 5 (Biased - converges to μ+5 instead of μ)

E(Estimator 1): μ + 5 = 55

Var(Estimator 1): —

Estimator 2: First observation (X₁)(Unbiased but variance doesn’t decrease)

E(Estimator 2): μ = 50

Var(Estimator 2): —