Mathematics · Statistical Inference
Let X1, X2 and X3 be independent and identically distributed (i.i.d.) Normal random variables with mean θ and variance θ2, where θ ∈ ℝ is unknown. Which of the following estimators is unbiased for θ?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1X1X2
- 2X12 + X22 + X323
- 3X1 + X2 + X34
- 4X1 + 2X2 + 3X36✓
Correct answer
X1 + 2X2 + 3X36
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