I have forgotten
my Password

Or login with:

  • Facebookhttp://facebook.com/
  • Googlehttps://www.google.com/accounts/o8/id
  • Yahoohttps://me.yahoo.com
COST (GBP)
this unit 4.21
sub units 15.75
+
0

CDF inv

Inverse of the Poisson distribution CDF
Controller: CodeCogs

add cart

Dependents

Info

Interface

C++
Excel

CDF Inv

 
doubleCDF_invintk
doubley )
Returns the Poisson variable x such that the integral from 0 to x of the Poisson density is equal to the given probability y.

Example:

#include <iostream>
#include <codecogs/stats/dists/discrete/poisson/cdf_inv.h>
#include <codecogs/stats/dists/discrete/poisson/cdf.h>
using namespace Stats::Dists::Discrete::Poisson;
int main()
{
  printf( "    x              CDF              INV \n" );
  for( double x=0.5; x<16; x+=1.5 )
  {
    double y = CDF( 5, x );
    double z = CDF_inv( 5, y );
    printf( "%f \t %f \t %f \n", x, y, z );
  }
  return getchar();
}

Output:

x              CDF              INV
0.500000         0.999986        0.500000
2.000000         0.983436        2.000000
3.500000         0.857614        3.500000
5.000000         0.615961        5.000000
6.500000         0.369041        6.500000
8.000000         0.191236        8.000000
9.500000         0.088528        9.500000
11.000000        0.037520        11.000000
12.500000        0.014823        12.500000
14.000000        0.005532        14.000000
15.500000        0.001970        15.500000

Note

if (k < 0) or (y < 0) or (y >= 1) this function writes to the error stream and returns value -1

Parameters

kthe number of terms to sum, must not be negative
ythe probability, must be in range 0..1 (but not equal to 1)

Returns

the Poisson variable x

Authors

Stephen L. Moshier (June 2000)
Updated by Vince Cole (April 2005)
Source Code

Source code is available when you buy a Commercial licence.

Not a member, then Register with CodeCogs. Already a Member, then Login.