The binomial pmf with p = a/n beside the Poisson pmf with mean a.
Arguments
- k
successes, >= 0.
- n
trials, >= 1.
- a
the product n p held fixed as n grows.
Value
list(binomial, poisson, abs_error).
References
Morin, D. J. (2016). Probability: For the Enthusiastic
Beginner. Createspace. Eqs (4.34)-(4.35).
Examples
BinPoisLim(2, 1000, 3)$abs_error
#> [1] 0.0001119363
