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Diff — Regression toward the mean

Revision #3389 → #3911 · back to history

addedGalton board pellet distribution1ca269ac1abd
modifiedRegression toward the mean criterion on correlationa35a70eafc05
FieldFrom #3389To #3911
noteCriterion 0 < β < 1 for regression toward the mean is not stated in Mathlib.Criterion -1 < r_xy < 1 for regression toward the mean is not stated in Mathlib.
provenanceaiai-moderated
addedConditional mean is within |r| standard deviations4c6662dcd843
modifiedLaw of large numbers (referenced contrast)bed6506c6a92
FieldFrom #3389To #3911
noteThe article contrasts regression to the mean with the law of large numbers; the (strong) LLN is formalized in Mathlib as `ProbabilityTheory.strong_law_ae` (confirmed via decl_exists).The strong law of large numbers is formalized in Mathlib as `ProbabilityTheory.strong_law_ae` (confirmed via decl_exists).
addedGambler's fallacy (contrast)4f23fef58bec