General Studies · Confidence Intervals
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)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(Y + 1n ln(α2), Y + 1n ln(1 - α2))✓
- 2(Y + 2n ln(α2), Y + 2n ln(1 - α2))
- 3(Y + 12n ln(α), Y)
- 4(Y + 1n ln(1 - α2), Y - 1n ln(1 - α2))
Correct answer
(Y + 1n ln(α2), Y + 1n ln(1 - α2))
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