Explicit expressions are given for the maximum error between the binomial distribution with parameters n and p and its Poisson approximants, for sufficiently small values of np. Both the error in the cumulative distribution function and that in the probability mass function are given for Poisson approximants having means λ = np and λ = -n log(1 - p).
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Poisson approximation
- binomial distribution