Bulletin of Mathematical Biology

, Volume 51, Issue 1, pp 125–131

Tutorial on large deviations for the binomial distribution

  • R. Arratia
  • L. Gordon

DOI: 10.1007/BF02458840

Cite this article as:
Arratia, R. & Gordon, L. Bltn Mathcal Biology (1989) 51: 125. doi:10.1007/BF02458840


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<p<a<1.

Copyright information

© Society for Mathematical Biology 1989

Authors and Affiliations

  • R. Arratia
    • 1
  • L. Gordon
    • 1
  1. 1.Department of MathematicsUniversity of Southern CaliforniaLos AngelesU.S.A.

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