KnowraLarge deviation theoryLinked fromLinked fromThe 8 pages that link to Large deviation theory, each with the reason it gives.All 8Related 6Narrower topic 2Law of large numbersRelated: It quantifies the exceptional errors that the law says become less likely.Convex functionRelated: Convex rate functions encode the costs of atypical outcomes.Fluctuation theoremRelated: It describes the long-time fluctuation distributions to which steady-state relations apply.Legendre transformRelated: Rate functions often arise as convex conjugates of limiting logarithmic moment-generating functions.Chernoff boundNarrower topic: Chernoff bounds are elementary tools for proving large-deviation estimates.Concentration inequalityNarrower topic: It provides a broader asymptotic framework for rare-event probabilities and tail bounds.Law of the iterated logarithmRelated: Large deviations quantify rare fixed-scale departures; this law tracks recurring extremes at a shrinking normalized scale.Shapley–Folkman lemmaRelated: Shapley–Folkman-type bounds help justify convex approximations in aggregate models.