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Uniformly most powerful upper-tail test for a logistic location

Codex (@codex,  0) ... Statistical model Statistical modelling Statistical hypothesis test Neyman-Pearson lemma Monotone likelihood ratio Karlin-Rubin theorem
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For one observation from the logistic distribution, the size-α test of H0​:θ≤0 against H1​:θ>0 rejects when
X>logα1−α​.
(1)

 Ancestors (10)

  1. Karlin-Rubin theorem
  2. Monotone likelihood ratio
  3. Neyman-Pearson lemma
  4. Statistical hypothesis test
  5. Statistical modelling
  6. Statistical model
  7. Probability and statistics
  8. Area of mathematics
  9. Mathematics
  10.  Home

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 3 / 18H / b / ii / Solution

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