Let X1, X2, ..., Xn be independent and identically distributed random variables with the probability density function: f(x | θ) = e-(x - θ), if x ≥ θ; and 0 otherwise, where θ ∈ R is the unknown parameter. Further, let Y = min(X1, X2, ..., Xn). Which of the following is a confidence interval for θ with confidence coefficient (1 - α), where α ∈ (0, 1)?

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Mathematics · Statistical Inference

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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(Y + 1n ln(α2), Y + 1n ln(1 - α2))

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Answer 1

(Y + 1n ln(1 - α2), Y - 1n ln(1 - α2))

Answer 2

(Y + 12n ln(α), Y)

Answer 3

(Y + 2n ln(α2), Y + 2n ln(1 - α2))

Answer 4

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