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 23, 2025
-> The last date for CSIR NET Application Form 2025 submission has been extended to 26th June 2025.
-> The CSIR UGC NET is conducted in five subjects -Chemical Sciences, Earth Sciences, Life Sciences, Mathematical Sciences, and Physical Sciences.
-> Postgraduates in the relevant streams can apply for this exam.
-> Candidates must download and practice questions from the CSIR NET Previous year papers. Attempting the CSIR NET mock tests are also very helpful in preparation.