GeneralizedExtremeValueValidation

class GeneralizedExtremeValueValidation(*args)

Validation of GeneralizedExtremeValue inference.

Parameters:
resultDistributionFactoryResult

Inference result to validate.

sample2-d sequence of float

Data on which the inference was performed.

Methods

drawDiagnosticPlot()

Draw the 4 usual diagnostic plots.

drawPDF()

Draw the estimated density and the data histogram.

drawReturnLevel()

Draw the return level with confidence interval.

getClassName()

Accessor to the object's name.

getConfidenceLevel()

Confidence level accessor.

getName()

Accessor to the object's name.

hasName()

Test if the object is named.

setConfidenceLevel(confidenceLevel)

Confidence level accessor.

setName(name)

Accessor to the object's name.

See also

GeneralizedExtremeValueFactory
__init__(*args)
drawDiagnosticPlot()

Draw the 4 usual diagnostic plots.

Returns:
gridGridLayout
Returns a grid of 4 graphs:

  • the QQ-plot,

  • the PP-plot,

  • the return level graph (with confidence lines),

  • the density graph.

Notes

The 4 graphs are the probability-probability plot, the quantile-quantile plot, the return level plot, the data histogram with the fitted model density.

If (z_{(1)} \leq z_{(2)} \leq \dots \leq z_{(n)}) denotes the ordered block maximum data and \hat{G} the cumulative distribution function of the GEV distribution fitted on the data, the graphs are defined as follows.

The probability-probability plot consists of the points:

\left\{ \left( i/(n+1), \hat{G}(z_{(i)}) \right), i=1, \dots , m\right\}

The quantile-quantile plot consists of the points:

\left\{ \left( z_{(i)}, \hat{G}^{-1}(i/(n+1)) \right), i=1, \dots , n\right\}

The return level plot consists of the points:

\left\{ \left( m, \hat{z}_m\right), m> 0\right\}

and the points:

\left\{ \left( m, z_{m}^{emp}\right), m> 0\right\}

where z_{m}^{emp} is the empirical m-block return level and \hat{z}_{m} the m-block return level calculated with the fitted GEV.

drawPDF()

Draw the estimated density and the data histogram.

Returns:
graphGraph

The estimated density and the data histogram.

drawReturnLevel()

Draw the return level with confidence interval.

Returns:
graphGraph

The return level graph.

Notes

The return level plot consists of the points:

\left\{ \left( m, \hat{z}_m\right), m >0 \right\}

and the points:

\left\{ \left( m, z_{m}^{emp}\right), m> 0\right\}

where z_{m}^{emp} is the empirical m-block return level and \hat{z}_{m} the m-block return level calculated with the fitted GEV.

getClassName()

Accessor to the object’s name.

Returns:
class_namestr

The object class name (object.__class__.__name__).

getConfidenceLevel()

Confidence level accessor.

Returns:
levelfloat

Confidence level for the confidence lines.

getName()

Accessor to the object’s name.

Returns:
namestr

The name of the object.

hasName()

Test if the object is named.

Returns:
hasNamebool

True if the name is not empty.

setConfidenceLevel(confidenceLevel)

Confidence level accessor.

Parameters:
levelfloat

Confidence level for the confidence lines.

setName(name)

Accessor to the object’s name.

Parameters:
namestr

The name of the object.

Examples using the class

Estimate a GEV on the Venice sea-levels data

Estimate a GEV on the Venice sea-levels data

Estimate a GEV on the Port Pirie sea-levels data

Estimate a GEV on the Port Pirie sea-levels data

Estimate a GEV on race times data

Estimate a GEV on race times data

Estimate a GEV on the Fremantle sea-levels data

Estimate a GEV on the Fremantle sea-levels data