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a^k e^-a / k! with k! replaced by k^k e^-k sqrt(2 pi k), beside the exact pmf.

Usage

PoisStirl(k, a)

Arguments

k

event count, >= 1.

a

expected count, > 0.

Value

list(approx, exact, rel_error).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eq (5.16).

Examples

PoisStirl(10, 8)$rel_error
#> [1] 0.008365359