Mathematics · Estimation Theory
Let {Xi : i ≥ 1} be independent and identically distributed (i.i.d.) random variables with E(Xi) = 0 and Var(Xi) = σ2 > 0. Which of the following estimators is NOT consistent for σ2?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 11n-1 ∑i=1n (Xi - X̄)2
- 21n ∑i=1n Xi2
- 31n ∑i=1n (Xi - X̄)2
- 41n ∑i=1n (X2i-1 - X2i)2✓
Correct answer
1n ∑i=1n (X2i-1 - X2i)2
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