CumPoissonInv

new in Analytica 4.7

CumPoissonInv(p, mean)

The inverse of the CumPoisson function. Returns the smallest number of events, k, such that the probability P(n ≤ k) is at least «p» when n has a Poisson distribution with a mean of «mean». «p» must be a value between 0 and 1, and «mean» must be positive. Since the Poisson distribution is a distribution on the integers, the result is an integer value.

This is an analytic function, so that the result is not subject to sampling error.

Examples

CumPoissonInv(0.8, 10) → 13

History

Introduced in Analytica 4.7.

See Also

• CumPoisson
• Poisson
• Parametric discrete distributions
• Distribution Densities Library