# Template:Infobox probability distribution

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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:

{{Infobox probability distribution
| name       =
| type       =
| pdf_image  =
| cdf_image  =
| notation   =
| parameters =
| support    =
| pdf        =
| cdf        =
| quantile   =
| mean       =
| median     =
| mode       =
| variance   =
| skewness   =
| kurtosis   =
| entropy    =
| mgf        =
| cf         =
| pgf        =
| fisher     =
| KLdiv      =
| JSDiv      =
}}


## Parameters

• |name= — Name at the top of the infobox; should be the name of the distribution without the word "distribution" in it, e.g. "Normal", "Exponential" (optional)
• |type= — possible values are "discrete" (or "mass"), "continuous" (or "density"), and "multivariate"
• |pdf_image= — probability density image-spec, such as: xxx.svg.
• |pdf_caption= — probability density image caption
• |pdf_image_alt=alternative text for the image in |pdf_image=
• |cdf_image= — cumulative distribution image-spec, such as: yyy.svg.
• |cdf_caption= — cumulative distribution image caption
• |cdf_image_alt=alternative text for the image in |cdf_image=
• |notation= — typical designation for this distribution, for example ${\displaystyle {\mathcal {N}}(\mu ,\sigma ^{2})}$. The notation should include all the distribution parameters explained in the next cell.
• |parameters= — parameters of the distribution family (such as μ and σ2 for the normal distribution).
• |support= — the support of the distribution, which may depend on the parameters. Specify this as $x \in some set$ for continuous distributions, and as $k \in some set$ for discrete distributions.
• |pdf= — probability density function (or probability mass function), such as: $\frac{\Gamma(r+k)}{k!\Gamma(r)}p^r(1-p)^k$. Please exclude the function label, such as "ƒ(x; μ,σ2)".
• |cdf= — cumulative distribution function, e.g.: $I_p(r,k+1)\text{ where }I_p(x,y)$ is the [[regularized incomplete beta function]].
• |quantile=quantile function (or inverse cumulative distribution function). If ${\displaystyle F()}$ is the CDF and ${\displaystyle Q()}$ is the quantile function, then ${\displaystyle Q(F(x))=x}$
• |mean= — the mean, or expected value.
• |median= — the median, only for univariate distributions.
• |mode= — the mode.
• |variance=variance of the distribution, or covariance matrix in multivariate case.
• |skewness= — the skewness.
• |kurtosis= — the kurtosis excess.
• |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.
• |mgf= — the moment-generating function, for example: $\left(\frac{p}{1-(1-p) e^t}\right)^r$.
• |char=/|cf= — the characteristic function, such as: $\left(\frac{p}{1-(1-p) e^{it}}\right)^r$.
• |pgf= - the Probability-generating function.
• |fisher= — the Fisher information matrix for the model.
• |KLDiv= — the Kullback-Leibler divergence of the model
• |JSDiv= — the Jensen-Shannon divergence of the model
• |intro= — optional message which will be displayed before all other content in the infobox.
• |marginleft= — margin space left of infobox (default: 1em).
• |box_width= — width of the infobox (default: 325px).

|parameters2=, |support2=, |pdf2=, |cdf2=, |mean2=, |median2=, |mode2=, |variance2=, |skewness2=, |kurtosis2=, |entropy2=, |mgf2=, and |char2=/|cf2= are the same as their counterparts above. They should be used when the distribution needs two sets to describe it, e.g. Gamma distribution.