python.uq.dists.Normal.Normal Class Reference

Inheritance diagram for python.uq.dists.Normal.Normal:

Public Member Functions
	__init__ (self, mu, sigma, a, b)
	__str__ (self)
	by_alpha (cls, mu, sigma, alpha)
	by_range (cls, *args, **kws)
	cdf (self, x)
	fromJson (cls, jsonObject)
	getBounds (self)
	getDim (self)
	mean (self)
	pdf (self, x)
	ppf (self, x)
	rvs (self, n=1)
	std (self)
	toJson (self)
	var (self)

Protected Attributes
	_dist

Detailed Description

Represents a truncated normal distribution

See: http://en.wikipedia.org/wiki/Truncated_normal_distribution

Constructor & Destructor Documentation

__init__()

python.uq.dists.Normal.Normal.__init__	(		self,
			mu,
			sigma,
			a,
			b
	)

Constructor
@param mu: expectation value
@param sigma: standard deviation
@param a: lower boundary
@param b: upper boundary

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.dists.MultivariateNormal.MultivariateNormal.__a, python.uq.dists.Normal.Normal.__a, python.uq.dists.TLognormal.TLognormal.__a, python.uq.dists.TNormal.TNormal.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.TLognormal.TLognormal.__b, python.uq.dists.TNormal.TNormal.__b, python.uq.dists.Uniform.Uniform.__b, python.uq.transformation.LinearTransformation.LinearTransformation.__b, python.uq.dists.Normal.Normal.__init__(), python.uq.dists.Lognormal.Lognormal.__mu, python.uq.dists.MultivariateNormal.MultivariateNormal.__mu, python.uq.dists.Normal.Normal.__mu, python.uq.dists.TLognormal.TLognormal.__mu, python.uq.dists.TNormal.TNormal.__mu, python.uq.dists.Lognormal.Lognormal.__sigma, python.uq.dists.Normal.Normal.__sigma, python.uq.dists.TLognormal.TLognormal.__sigma, and python.uq.dists.TNormal.TNormal.__sigma.

Referenced by python.uq.dists.Normal.Normal.__init__().

Member Function Documentation

__str__()

python.uq.dists.Normal.Normal.__str__

(

self

)

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.dists.MultivariateNormal.MultivariateNormal.__a, python.uq.dists.Normal.Normal.__a, python.uq.dists.TLognormal.TLognormal.__a, python.uq.dists.TNormal.TNormal.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.TLognormal.TLognormal.__b, python.uq.dists.TNormal.TNormal.__b, python.uq.dists.Uniform.Uniform.__b, python.uq.transformation.LinearTransformation.LinearTransformation.__b, python.uq.dists.Lognormal.Lognormal.__mu, python.uq.dists.MultivariateNormal.MultivariateNormal.__mu, python.uq.dists.Normal.Normal.__mu, python.uq.dists.TLognormal.TLognormal.__mu, python.uq.dists.TNormal.TNormal.__mu, python.uq.dists.Lognormal.Lognormal.__sigma, python.uq.dists.Normal.Normal.__sigma, python.uq.dists.TLognormal.TLognormal.__sigma, and python.uq.dists.TNormal.TNormal.__sigma.

by_alpha()

python.uq.dists.Normal.Normal.by_alpha	(		cls,
			mu,
			sigma,
			alpha
	)

Constructor given a confidence value
@param mu: expectation value
@param sigma: standard deviation
@param alpha: confidence value

by_range()

python.uq.dists.Normal.Normal.by_range	(		cls,
		*	args,
		**	kws
	)

Constructor given a interval

cdf()

python.uq.dists.Normal.Normal.cdf	(		self,
			x
	)

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.dists.MultivariateNormal.MultivariateNormal.__a, python.uq.dists.Normal.Normal.__a, python.uq.dists.TLognormal.TLognormal.__a, python.uq.dists.TNormal.TNormal.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.TLognormal.TLognormal.__b, python.uq.dists.TNormal.TNormal.__b, python.uq.dists.Uniform.Uniform.__b, python.uq.transformation.LinearTransformation.LinearTransformation.__b, python.uq.dists.Lognormal.Lognormal.__linearTrans, python.uq.dists.Normal.Normal.__linearTrans, python.uq.dists.Beta.Beta._dist, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Normal.Normal._dist, python.uq.dists.TNormal.TNormal._dist, python.uq.dists.Uniform.Uniform._dist, python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor._dist, python.uq.parameters.UncertainParameter.UncertainParameter._dist, python.uq.transformation.RosenblattTransformation.RosenblattTransformation._dist, and python.uq.dists.Normal.Normal.cdf().

Referenced by python.uq.dists.Normal.Normal.cdf().

fromJson()

python.uq.dists.Normal.Normal.fromJson	(		cls,
			jsonObject
	)

Restores the TNormal object from the json object with its
attributes.
@param jsonObject: json object
@return: the restored TNormal object

Referenced by python.learner.Learner.Learner.setMemento(), python.uq.analysis.asgc.ASGCKnowledge.ASGCKnowledge.setMemento(), python.uq.learner.Learner.Learner.setMemento(), python.uq.sampler.asgc.ASGCSampler.ASGCSampler.setMemento(), and python.uq.uq_setting.UQSetting.UQSetting.setMemento().

getBounds()

python.uq.dists.Normal.Normal.getBounds

(

self

)

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.dists.MultivariateNormal.MultivariateNormal.__a, python.uq.dists.Normal.Normal.__a, python.uq.dists.TLognormal.TLognormal.__a, python.uq.dists.TNormal.TNormal.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.TLognormal.TLognormal.__b, python.uq.dists.TNormal.TNormal.__b, python.uq.dists.Uniform.Uniform.__b, and python.uq.transformation.LinearTransformation.LinearTransformation.__b.

Referenced by python.uq.dists.J.J.discretize(), and python.uq.dists.Dist.Dist.l2error().

getDim()

python.uq.dists.Normal.Normal.getDim

(

self

)

Referenced by python.uq.dists.SGDEdist.SGDEdist.__str__(), python.uq.dists.Dist.Dist.cov(), python.uq.parameters.ParameterSet.ParameterSet.extractActiveSubset(), python.uq.dists.KDEDist.KDEDist.getBandwidths(), python.uq.dists.EstimatedDist.EstimatedDist.getBounds(), and python.uq.uq_setting.UQSetting.UQSetting.getDim().

mean()

python.uq.dists.Normal.Normal.mean

(

self

)

References python.uq.dists.Lognormal.Lognormal.__mu, python.uq.dists.MultivariateNormal.MultivariateNormal.__mu, python.uq.dists.Normal.Normal.__mu, python.uq.dists.TLognormal.TLognormal.__mu, and python.uq.dists.TNormal.TNormal.__mu.

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis.computeMoments(), python.uq.analysis.mc.MCAnalysis.MCAnalysis.computeMoments(), python.uq.dists.LibAGFDist.LibAGFDist.var(), and python.uq.dists.SGDEdist.SGDEdist.var().

pdf()

python.uq.dists.Normal.Normal.pdf	(		self,
			x
	)

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.dists.MultivariateNormal.MultivariateNormal.__a, python.uq.dists.Normal.Normal.__a, python.uq.dists.TLognormal.TLognormal.__a, python.uq.dists.TNormal.TNormal.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.TLognormal.TLognormal.__b, python.uq.dists.TNormal.TNormal.__b, python.uq.dists.Uniform.Uniform.__b, python.uq.transformation.LinearTransformation.LinearTransformation.__b, python.uq.dists.Beta.Beta._dist, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Normal.Normal._dist, python.uq.dists.TNormal.TNormal._dist, python.uq.dists.Uniform.Uniform._dist, python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor._dist, python.uq.parameters.UncertainParameter.UncertainParameter._dist, python.uq.transformation.RosenblattTransformation.RosenblattTransformation._dist, and python.uq.dists.Normal.Normal.pdf().

Referenced by python.uq.dists.Dist.Dist.crossEntropy(), python.uq.dists.J.J.discretize(), python.uq.dists.Dist.Dist.klDivergence(), python.uq.dists.Dist.Dist.l2error(), and python.uq.dists.Normal.Normal.pdf().

ppf()

python.uq.dists.Normal.Normal.ppf	(		self,
			x
	)

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.dists.MultivariateNormal.MultivariateNormal.__a, python.uq.dists.Normal.Normal.__a, python.uq.dists.TLognormal.TLognormal.__a, python.uq.dists.TNormal.TNormal.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.TLognormal.TLognormal.__b, python.uq.dists.TNormal.TNormal.__b, python.uq.dists.Uniform.Uniform.__b, python.uq.transformation.LinearTransformation.LinearTransformation.__b, python.uq.dists.Lognormal.Lognormal.__linearTrans, python.uq.dists.Normal.Normal.__linearTrans, python.uq.dists.Beta.Beta._dist, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Normal.Normal._dist, python.uq.dists.TNormal.TNormal._dist, python.uq.dists.Uniform.Uniform._dist, python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor._dist, python.uq.parameters.UncertainParameter.UncertainParameter._dist, python.uq.transformation.RosenblattTransformation.RosenblattTransformation._dist, and python.uq.dists.Normal.Normal.ppf().

Referenced by python.uq.dists.Normal.Normal.ppf(), python.uq.dists.EstimatedDist.EstimatedDist.rvs(), python.uq.dists.NatafDist.NatafDist.rvs(), python.uq.dists.KDEDist.KDEDist.rvs(), and python.uq.dists.SGDEdist.SGDEdist.rvs().

rvs()

python.uq.dists.Normal.Normal.rvs	(		self,
			n = 1
	)

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.dists.MultivariateNormal.MultivariateNormal.__a, python.uq.dists.Normal.Normal.__a, python.uq.dists.TLognormal.TLognormal.__a, python.uq.dists.TNormal.TNormal.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.TLognormal.TLognormal.__b, python.uq.dists.TNormal.TNormal.__b, python.uq.dists.Uniform.Uniform.__b, python.uq.transformation.LinearTransformation.LinearTransformation.__b, python.uq.dists.Beta.Beta._dist, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Normal.Normal._dist, python.uq.dists.TNormal.TNormal._dist, python.uq.dists.Uniform.Uniform._dist, python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor._dist, python.uq.parameters.UncertainParameter.UncertainParameter._dist, python.uq.transformation.RosenblattTransformation.RosenblattTransformation._dist, and python.uq.dists.Normal.Normal.rvs().

Referenced by python.uq.dists.Normal.Normal.rvs().

std()

python.uq.dists.Normal.Normal.std

(

self

)

References python.uq.dists.Lognormal.Lognormal.__sigma, python.uq.dists.Normal.Normal.__sigma, python.uq.dists.TLognormal.TLognormal.__sigma, and python.uq.dists.TNormal.TNormal.__sigma.

toJson()

python.uq.dists.Normal.Normal.toJson

(

self

)

Referenced by python.uq.sampler.asgc.ASGCSampler.ASGCSampler.__str__(), python.uq.uq_setting.UQSetting.UQSetting.__str__(), python.uq.analysis.asgc.ASGCKnowledge.ASGCKnowledge.createMemento(), python.uq.sampler.asgc.ASGCSampler.ASGCSampler.createMemento(), and python.uq.uq_setting.UQSetting.UQSetting.createMemento().

var()

python.uq.dists.Normal.Normal.var

(

self

)

References python.uq.dists.Lognormal.Lognormal.__sigma, python.uq.dists.Normal.Normal.__sigma, python.uq.dists.TLognormal.TLognormal.__sigma, and python.uq.dists.TNormal.TNormal.__sigma.

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis.computeMoments(), python.uq.analysis.mc.MCAnalysis.MCAnalysis.computeMoments(), python.uq.dists.Dist.Dist.cov(), python.uq.dists.DataDist.DataDist.std(), python.uq.dists.Dist.Dist.std(), and python.uq.dists.J.J.std().

Member Data Documentation

_dist

python.uq.dists.Normal.Normal._dist

protected

Referenced by python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.andGetResult(), python.uq.dists.Beta.Beta.cdf(), python.uq.dists.Lognormal.Lognormal.cdf(), python.uq.dists.Normal.Normal.cdf(), python.uq.dists.TNormal.TNormal.cdf(), python.uq.dists.Uniform.Uniform.cdf(), python.uq.parameters.UncertainParameter.UncertainParameter.getCount(), python.uq.parameters.UncertainParameter.UncertainParameter.getDistribution(), python.uq.transformation.RosenblattTransformation.RosenblattTransformation.getSize(), python.uq.dists.Beta.Beta.mean(), python.uq.dists.Uniform.Uniform.mean(), python.uq.dists.Beta.Beta.pdf(), python.uq.dists.Lognormal.Lognormal.pdf(), python.uq.dists.Normal.Normal.pdf(), python.uq.dists.TNormal.TNormal.pdf(), python.uq.dists.Uniform.Uniform.pdf(), python.uq.dists.Beta.Beta.ppf(), python.uq.dists.Lognormal.Lognormal.ppf(), python.uq.dists.Normal.Normal.ppf(), python.uq.dists.TNormal.TNormal.ppf(), python.uq.dists.Uniform.Uniform.ppf(), python.uq.transformation.RosenblattTransformation.RosenblattTransformation.probabilisticToUnit(), python.uq.dists.Beta.Beta.rvs(), python.uq.dists.Lognormal.Lognormal.rvs(), python.uq.dists.Normal.Normal.rvs(), python.uq.dists.TNormal.TNormal.rvs(), python.uq.dists.Uniform.Uniform.rvs(), python.uq.parameters.UncertainParameter.UncertainParameter.setDistribution(), python.uq.dists.Beta.Beta.std(), python.uq.dists.Uniform.Uniform.std(), python.uq.transformation.RosenblattTransformation.RosenblattTransformation.toJson(), python.uq.transformation.RosenblattTransformation.RosenblattTransformation.unitToProbabilistic(), python.uq.dists.Beta.Beta.var(), python.uq.dists.Uniform.Uniform.var(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withBetaDistribution(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withDistribution(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withLinearTransformation(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withLognormalDistribution(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withMultivariateNormalDistribution(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withNormalDistribution(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withRosenblattTransformation(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withSampleDistribution(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withTLognormalDistribution(), python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withTNormalDistribution(), and python.uq.parameters.ParameterDescriptor.UncertainParameterDesciptor.withUniformDistribution().

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The documentation for this class was generated from the following file:

• datadriven/python/uq/dists/Normal.py