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Diff — Akaike information criterion

Revision #2847 → #3974 · back to history

modifiedAkaike information criterion (AIC)330eb289b0a4
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noteNo AIC or model-selection-criterion definition exists in Mathlib (grep for 'Akaike'/'AIC' returns nothing in Mathlib/).Grep for 'Akaike'/'AIC' returns no hits in Mathlib/.
modifiedAIC value of a model8b59c06c3b74
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noteThe formula AIC = 2k - 2 ln L̂ is absent from Mathlib; Mathlib has KL divergence and log-likelihood-ratio infra but no AIC formula.The formula AIC = 2k − 2 ln L̂ is absent from Mathlib; no likelihood-based model-selection API exists.
addedKullback–Leibler divergencefdc117f5c521
modifiedRelative likelihood of model i2ea9586eee15
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noteThe relative-likelihood transform exp((AICmin - AICi)/2) has no Mathlib counterpart.The relative-likelihood transform exp((AICmin − AICi)/2) has no Mathlib counterpart.
modifiedProbability interpretation of relative likelihood469c7a9ff834
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noteNot formalized; depends on AIC and the underlying decision-theoretic interpretation absent from Mathlib.Depends on AIC and a decision-theoretic interpretation, none of which is in Mathlib.
modifiedThree candidate models example731538361acb
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noteNumerical AIC worked example with no formal statistics counterpart in Mathlib.Numerical AIC worked example with no formal counterpart in Mathlib.
addedLog-normal distribution (transformed density)b5db940aee3f
modifiedBIC penalty vs AIC penalty72a3b9b6ed9e
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noteNeither AIC nor BIC (Bayesian Information Criterion) is defined in Mathlib.Neither AIC nor BIC is defined in Mathlib.
modifiedAsymptotic equivalence of AIC and Cpf0d7eb576c32
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noteMallows's Cp statistic is not defined in Mathlib (grep for 'Mallows' returns no results).Grep for 'Mallows' in Mathlib returns no hits, so Cp and this equivalence are not formalized.