Template:Infobox probability distribution/doc: Difference between revisions

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| mode = <math>\mu</math>

| variance = <math>\sigma^2</math>

| mad = <math>\sigma\sqrt{2/}\pi,\operatorname{erf}^{-1}(1/2)</math>

| aad = <math>\sigma\sqrt{2/\pi}</math>

| skewness = <math>0</math>

| kurtosis = <math>0</math> <!-- DO NOT REPLACE THIS WITH THE OLD-STYLE KURTOSIS WHICH IS 3. -->

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== Usage ==

The '''Template:Infobox probability distribution''' generates a right-hand side infobox, based on the specified parameters. To use this template, copy the following code in your article and fill in as appropriate:

<syntaxhighlight lang="wikitext">

<pre>

{{Infobox probability distribution

| name =

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| mode =

| variance =

| mad =

| ES aad =

| skewness =

| kurtosis =

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| moments =

| KLdiv =

| likelihood =

| JSDiv =

| ES =

| bPOE =

}}

</syntaxhighlight>

</pre>

== Parameters ==

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* {{para|type}} — possible values are "discrete" (or "mass"), "continuous" (or "density"), and "multivariate"

* {{para|pdf_image}} — probability density image-spec, such as: <code><nowiki>xxx.svg</nowiki></code>.

* {{para|pdf_caption}} — probability density image captioncaptionn

* {{para|pdf_image_alt}} — [[WP:ALT|alternative text]] for the image in {{para|pdf_image}}

* {{para|cdf_image}} — cumulative distribution image-spec, such as: <code><nowiki>yyy.svg</nowiki></code>.

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* {{para|mode}} — the [[mode (statistics)|mode]].

* {{para|variance}} — [[variance]] of the distribution, or [[covariance matrix]] in multivariate case.

* {{para|mad}} — the [[averagemedian absolute deviation|mean]] absolutearound deviation]]the median.

* {{para|aad}} — the [[average absolute deviation|mean absolute deviation]] around the mean.

* {{para|skewness}} — the [[skewness]].

* {{para|kurtosis}} — the [[kurtosis excess]].

* {{para|entropy}} — the differential [[information entropy]], preferably expressed in unspecified units using base-unspecific log(.) rather than base-specific ln(.) which yields entropy in units of nats only.

* {{para|cross_entropy}} — the [[Cross cross-entropy]] of the model

* {{para|mgf}} — the [[moment-generating function]], for example: <syntaxhighlight lang="tex" inline><math>\left(\frac{p}{1-(1-p) e^t}\right)^r</math></syntaxhighlight>.

* {{para|char}}/{{para|cf}} — the [[Characteristic function (probability theory)|characteristic function]], such as: <syntaxhighlight lang="tex" inline><math>\left(\frac{p}{1-(1-p) e^{it}}\right)^r</math></syntaxhighlight>.

* {{para|pgf}} - the [[Probabilityprobability-generating function]].

* {{para|fisher}} — the [[Fisher information matrix]] for the model.

* {{para|KLDiv}} — the [[Kullback-Leibler divergence]] of the model

* {{para|likelihood}} — the [[Likelihood function]] of the model

* {{para|JSDiv}} — the [[Jensen-Shannon divergence]] of the model

* {{para|moments}} — formulas to use in [[Method of moments (statistics)|Methodmethod of moments]] for the model.

* {{para|ES}} — the [[expected shortfall]] or CVaR for the model.

* {{para|bPOE}} — the buffered probability of exceedance for the model.

* {{para|intro}} — optional message which will be displayed before all other content in the infobox.

* {{para|marginleft}} — margin space left of infobox (default: 1em).

* {{para|box_width}} — width of the infobox (default: 325px).

{{para|parameters2}}, {{para|support2}}, {{para|pdf2}}, {{para|cdf2}}, {{para|mean2}}, {{para|median2}}, {{para|mode2}}, {{para|variance2}}, {{para|mad}}, {{para|aad}}, {{para|skewness2}}, {{para|kurtosis2}}, {{para|entropy2}}, {{para|mgf2}}, {{para|char2}}/{{para|cf2}}, {{para|moments2}}, {{para|fisher2}} are the same as their counterparts above. They should be used when the distribution needs two sets to describe it, e.g. [[Gamma distribution]].

== Tracking category ==