CumPoissonInv

new in Analytica 5.0

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.

Library

Distribution Densities Library (Distribution Densities.ana)

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Examples

CumPoissonInv(0.8, 10) → 13

History

Introduced in Analytica 5.0.

See Also

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