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. Let Y = min(X1, X2, ..., Xn). Which of the following is a confidence interval for θ with the confidence coefficient (1-α), where α ∈ (0, 1)?

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Mathematics · Estimation Theory

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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(Y + (1/n)ln(α), Y)

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Answer 1

(Y + (1/n)ln(α/2), Y + (1/n)ln(1 - α/2))

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(Y + (2/n)ln(α/2), Y + (2/n)ln(1 - α/2))

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