Tutorial on large deviations for the binomial distribution

@article{Arratia1989TutorialOL,
  title={Tutorial on large deviations for the binomial distribution},
  author={Richard Arratia and Louis Gordon},
  journal={Bulletin of Mathematical Biology},
  year={1989},
  volume={51},
  pages={125-131}
}
We present, in an easy to use form, the large deviation theory of the binomial distribution: how to approximate the probability ofk or more successes inn independent trials, each with success probabilityp, when the specified fraction of successes,a≡k/n, satisfies 0 
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