I have forgotten

• https://me.yahoo.com
COST (GBP)
1.00
26.41
0

# CDF inv

The binomial distribution inverse CDF
Controller: CodeCogs
Contents

C++
HTML

## CDF Inv

 doubleCDF_inv( int k int n double y bool upper` = false` )
Finds the event probability p such that the sum of the terms 0 through k of the Binomial probability density is equal to the given cumulative probability y.

## Example:

```#include <stdio.h>
#include <codecogs/statistics/distributions/discrete/binomial/cdf_inv.h>
#include <codecogs/statistics/distributions/discrete/binomial/cdf.h>
using namespace Stats::Dists::Discrete::Binomial;
int main()
{
printf( "    x              CDF              INV \n" );
for( double x=0; x<1; x+=0.1 )
{
double y = CDF( 5, 10, x );
double z = CDF_inv( 5, 10, y, true );
printf( "%f \t %f \t %f \n", x, y, z );
}
return getchar();
}```

## Output:

```x              CDF              INV
0.000000         1.000000        0.000000
0.100000         0.999853        0.100000
0.200000         0.993631        0.200000
0.300000         0.952651        0.300000
0.400000         0.833761        0.400000
0.500000         0.623047        0.500000
0.600000         0.366897        0.600000
0.700000         0.150268        0.700000
0.800000         0.032793        0.800000
0.900000         0.001635        0.900000
1.000000         0.000000        1.000000```

## Accuracy:

```Tested at random points (a,b,p).
p         a,b domain   # trials      peak         rms
0.001 to 1        0,100       100000      2.3e-14     6.4e-16
0.001 to 1        0,10000     100000      6.6e-12     1.2e-13
10^-6 to 0.001    0,100       100000      2.0e-12     1.3e-14
10^-6 to 0.001    0,10000     100000      1.5e-12     3.2e-14```

### Parameters

 k the maximum number of successes, must be >= 0 n the total number of trials, must be >= k y the probability of at most k successes in n trials, must be in range 0..1 upper Default value = false

### Returns

the probability of success for each trial

### Authors

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

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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