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Asymptotic distribution of a sample median

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Statistical inference Robust statistics
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For an odd sample size n from a distribution with positive continuous density f at its median m,
n​(m−m)⟹N(0,4f(m)21​).
(1)

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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 223 / 3 / d / Solution

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