Question
Download Solution PDFConsider the pdf given by
\(f(x \mid θ)=\frac{e^{(x-θ)}}{\left[1+\left.e^{(x-θ)}\right|^2\right.}\), -∞ < x < ∞, -∞ < θ < ∞
Based on one observation X with the above pdf, a UMP test of size α for testing H0 ∶ θ ≤ θ0 versus H1 ∶ θ > θ0 is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFBased on one observation X with the given pdf, a UMP test of size α for testing H0 ∶ θ ≤ θ0 versus H1 ∶ θ > θ0 is
X > k for some k such that α = \(P_{θ_0}\)[X > k]
Option (1) is correct
Last updated on Jun 5, 2025
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