python.uq.dists.Normal.Normal Class Reference

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

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

Detailed Description

Represents a truncated normal distribution

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

Constructor & Destructor Documentation

__init__()

def 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.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.Lognormal.Lognormal.__linearTrans, python.uq.dists.Normal.Normal.__linearTrans, python.uq.dists.Lognormal.Lognormal.__mu, python.uq.dists.MultivariateNormal.MultivariateNormal.__mu, python.uq.dists.Normal.Normal.__mu, python.uq.dists.Lognormal.Lognormal.__sigma, python.uq.dists.Normal.Normal.__sigma, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Beta.Beta._dist, python.uq.dists.Normal.Normal._dist, python.uq.dists.Normal.Normal.cdf(), and python.convergence.norm().

Member Function Documentation

__str__()

def python.uq.dists.Normal.Normal.__str__

(

self

)

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

by_alpha()

def 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

References python.convergence.norm().

by_range()

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

Constructor given a interval

cdf()

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

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.Lognormal.Lognormal.__linearTrans, python.uq.dists.Normal.Normal.__linearTrans, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Beta.Beta._dist, and python.uq.dists.Normal.Normal._dist.

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

fromJson()

def 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.uq.sampler.asgc.ASGCSampler.ASGCSampler.setMemento(), python.uq.learner.Learner.Learner.setMemento(), and python.uq.uq_setting.UQSetting.UQSetting.setMemento().

getBounds()

def python.uq.dists.Normal.Normal.getBounds

(

self

)

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

getDim()

def python.uq.dists.Normal.Normal.getDim

(

self

)

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

mean()

def python.uq.dists.Normal.Normal.mean

(

self

)

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

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

pdf()

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

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Beta.Beta._dist, and python.uq.dists.Normal.Normal._dist.

ppf()

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

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.Lognormal.Lognormal.__linearTrans, python.uq.dists.Normal.Normal.__linearTrans, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Beta.Beta._dist, and python.uq.dists.Normal.Normal._dist.

Referenced by python.uq.dists.EstimatedDist.EstimatedDist.rvs(), and python.uq.dists.SGDEdist.SGDEdist.rvs().

rvs()

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

References python.uq.dists.Lognormal.Lognormal.__a, python.uq.transformation.LinearTransformation.LinearTransformation.__a, python.uq.dists.Uniform.Uniform.__a, python.uq.dists.Lognormal.Lognormal.__b, python.uq.dists.MultivariateNormal.MultivariateNormal.__b, python.uq.dists.Normal.Normal.__b, python.uq.dists.Lognormal.Lognormal._dist, python.uq.dists.Beta.Beta._dist, and python.uq.dists.Normal.Normal._dist.

std()

def python.uq.dists.Normal.Normal.std

(

self

)

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

toJson()

def 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.sampler.asgc.ASGCSampler.ASGCSampler.createMemento(), and python.uq.uq_setting.UQSetting.UQSetting.createMemento().

var()

def python.uq.dists.Normal.Normal.var

(

self

)

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

Referenced by python.uq.analysis.mc.MCAnalysis.MCAnalysis.computeMoments(), and python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis.computeMoments().

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

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