Examples - pi.science.distribution.PINormalDistribution
1. How to compute Normal distribution propability for X ?
PINormalDistribution distribution = new PINormalDistribution();
/* -- get probability from Z-score */
Console.WriteLine( "Probability for x=0 : " + distribution.GetProbability( 0.0 ) );
Console.WriteLine( "Probability for x=-1 : " + distribution.GetProbability( -1.0 ) );
Console.WriteLine( "Probability for x=1 : " + distribution.GetProbability( 1.0 ) );
Console.WriteLine( "Probability for x=-5 : " + distribution.GetProbability( -5.0 ) );
Console.WriteLine( "Probability for x=5 : " + distribution.GetProbability( 5.0 ) );
Output:
Probability for x=0 : 0,5
Probability for x=-1 : 0,158655253655632
Probability for x=1 : 0,841344746344368
Probability for x=-5 : 0
Probability for x=5 : 1
2. How to compute X for Normal distribution propability ?
PINormalDistribution distribution = new PINormalDistribution();
Console.WriteLine( "x for probability=0.5 : " + distribution.GetXForProbability( 0.5 ) );
Console.WriteLine( "x for probability=0.15 : " + distribution.GetXForProbability( 0.1586 ) );
Console.WriteLine( "x for probability=0.8413 : " + distribution.GetXForProbability( 0.8413 ) );
Console.WriteLine( "x for probability=0.0001 : " + distribution.GetXForProbability( 0.0001 ) );
Console.WriteLine( "x for probability=0.9999 : " + distribution.GetXForProbability( 0.9999 ) );
Console.WriteLine( "x for probability=0.0 : " + distribution.GetXForProbability( 0.0 ) );
Console.WriteLine( "x for probability=1.0 : " + distribution.GetXForProbability( 1.0 ) );
Output:
x for probability=0.5 : 2,98023223876953E-07
x for probability=0.15 : -1,00022822618484
x for probability=0.8413 : 0,999815165996552
x for probability=0.0001 : -3,71901661157608
x for probability=0.9999 : 3,71901661157608
x for probability=0.0 : 10
x for probability=1.0 : 0
3. How to compute Normal probability density for X (=curve points) ?
PINormalDistribution distribution = new PINormalDistribution();
Console.WriteLine( "Probability density, x=-3 = " + distribution.CalcProbabilityDensity( -3 ) );
Console.WriteLine( "Probability density, x=0 = " + distribution.CalcProbabilityDensity( 0 ) );
Console.WriteLine( "Probability density, x=3 = " + distribution.CalcProbabilityDensity( 3 ) );
Output:
Probability density, x=-3 = 0,0278461248255361
Probability density, x=0 = 2,506628274631
Probability density, x=3 = 0,0278461248255361
