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Mathematics · L5 · Central Limit Theorem: Convergence to Normality

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Flowchart showing how sample means from any finite-variance distribution converge in distribution to a normal as n grows.

by @openstemUpdated Mathematics
i.i.d. X₁,...,XₙE[Xᵢ]=μ, Var(Xᵢ)=σ²<∞Standardise: Zₙ = √n·X̄ₙ-μ / σn large?Distribution of Zₙ depends on parentZₙ →ᵈ N0,1 by CLTUse normal tables / confidence intervals / hypothesis testsnoyes

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