Mathematics · Statistics
Let X1, X2, ..., Xn be a random sample of size n from a U(θ, θ + 1) distribution, where θ ∈ &mathbb;R is an unknown parameter. If Tn = min{X1, X2, ..., Xn}, n = 1, 2, ..., then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Tn is an unbiased estimator of θ.
- 2limn → ∞ Eθ(Tn) = 0 for all θ ∈ &mathbb;R.
- 3Tn is a consistent estimator of θ.✓
- 4max{X1, X2, ..., Xn} is a consistent estimator of θ.
Correct answer
Tn is a consistent estimator of θ.
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