Test a discrete distribution

In this example we are going to perform a Chi2 goodness-of-fit test for an 1-d discrete distribution.

from __future__ import print_function
import openturns as ot
import openturns.viewer as viewer
from matplotlib import pylab as plt
ot.Log.Show(ot.Log.NONE)

Create data

distribution = ot.Poisson()
sample = distribution.getSample(30)

Fit a Poisson distribution

distribution = ot.PoissonFactory().build(sample)

Test the fitted distribution

result = ot.FittingTest.ChiSquared(sample, distribution, 0.01)
print('Conclusion=', result.getBinaryQualityMeasure(),
      'P-value=', result.getPValue())

Out:

Conclusion= True P-value= 0.7146093983625044