title: Tutorial on large deviations for the binomial distribution.
abstract: We present, in an easy to use form, the large deviation theory of the binomial distribution: how to approximate the probability of k or more successes in n independent trials, each with success probability p, when the specified fraction of successes, a identical to k/n, satisfies 0 less than p less than a less than 1.
authors.forename: R
authors.initials: R
authors.lastname: Arratia
authors.forename: L
authors.initials: L
authors.lastname: Gordon
mesh_terms: D000595:Amino Acid Sequence; D001483:Base Sequence; D004247:DNA / Q000235:genetics; D008433:Mathematics; D008962:Models, Theoretical; D011336:Probability
chemical_list: D004247:DNA