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#! /usr/bin/env python
import openturns as ot
distribution = ot.Gumbel(0.5, 2.5)
size = 10000
sample = distribution.getSample(size)
factory = ot.GumbelFactory()
print("Distribution =", repr(distribution))
result = factory.buildEstimator(sample)
estimatedDistribution = result.getDistribution()
print("Estimated distribution =", repr(estimatedDistribution))
parameterDistribution = result.getParameterDistribution()
print("Parameter distribution =", parameterDistribution)
defaultDistribution = factory.build()
print("Default distribution =", defaultDistribution)
fromParameterDistribution = factory.build(distribution.getParameter())
print("Distribution from parameters =", fromParameterDistribution)
typedEstimatedDistribution = factory.buildAsGumbel(sample)
print("Typed estimated distribution =", typedEstimatedDistribution)
defaultTypedDistribution = factory.buildAsGumbel()
print("Default typed distribution =", defaultTypedDistribution)
typedFromParameterDistribution = factory.buildAsGumbel(distribution.getParameter())
print("Typed distribution from parameters=", typedFromParameterDistribution)
result = factory.buildEstimator(sample, ot.GumbelMuSigma())
estimatedDistribution = result.getDistribution()
print("Estimated distribution (mu/sigma) =", repr(estimatedDistribution))
parameterDistribution = result.getParameterDistribution()
print("Parameter distribution (mu/sigma) =", parameterDistribution)
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