Difference between revisions of "CumPoissonInv"

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[[Category: Analytic Distribution Functions]]
 
[[Category: Analytic Distribution Functions]]
 
[[Category: Distribution Densities library functions]]
 
[[Category: Distribution Densities library functions]]
 
+
[[category:Inverse cumulative probability functions]]
''new in [[Analytica 5.0]]''
+
#REDIRECT[[Poisson distribution#CumPoissonInv]]
 
 
== 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 [[:Category:Analytic Distribution Functions|analytic function]], so that the result is not subject to sampling error.
 
 
 
== Library ==
 
[[Distribution Densities Library]]  ([[media:Distribution Densities.ana|Distribution Densities.ana]])
 
:Use [[File menu|File]] → '''Add Library...''' to add this library
 
 
 
== Examples ==
 
:[[image:Poisson10.png]]
 
:<code>CumPoissonInv(0.8, 10) &rarr; 13</code>
 
 
 
==History==
 
Introduced in [[Analytica 5.0]].
 
 
 
== See Also ==
 
* [[CumPoisson]]
 
* [[Poisson]]
 
* [[Parametric discrete distributions]]
 
* [[Distribution Densities Library]]
 
* [[Distribution Densities Library]]
 
* [[media:Distribution Densities.ana|Distribution Densities.ana]]
 

Revision as of 22:55, 7 December 2018

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