Gaussian limit of the Poisson distribution

e^(-(k-a)^2/(2a))/sqrt(2 pi a), beside the exact Poisson pmf at round(k).

Usage

PoisGauss(k, a)

Arguments

k

event count; may be non-integral for the continuous form.

a

expected count, > 0.

Value

list(PG, exact).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eq (5.23).

Examples

PoisGauss(12, 10)$PG
#> [1] 0.1032883