Poisson distribution surface

pmf in log space, series-checked mean and variance, mode ceil(a) - 1, and the alternating e^-a series. Mirrors morie.fn ch4 Poisson modules.

Usage

morie_poisson_dist(a, k = NULL)

Arguments

a

expected count, > 0 (>= 0 for the pmf).

k

optional specific count.

Value

list: pmf (if k given), mean, variance, mode, p_zero.

References

Morin (2016), eqs. (4.40), (4.53), (4.89), (4.92), (4.94).

Examples

morie_poisson_dist(2.0, k = 3)$pmf
#> [1] 0.180447