Template:Infobox probability distribution/doc

This is a documentation subpage for Template:Infobox probability distribution. It may contain usage information, categories and other content that is not part of the original template page.

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     = 
}}

• 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
• cdf_image — cumulative distribution image-spec, such as: yyy.svg.
• cdf_caption — cumulative distribution image caption
• 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 <math>x \in some set</math> for continuous distributions, and as <math>k \in some set</math> for discrete distributions.
• pdf — probability density function (or probability mass function), such as: <math>\frac{\Gamma(r+k)}{k!\Gamma(r)}p^r(1-p)^k</math>. Please exclude the function label, such as “ƒ(x; μ,σ²)”.
• cdf — cumulative distribution function, e.g.: <math>I_p(r,k+1)\text{ where }I_p(x,y)</math> 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: <math>\left(\frac{p}{1-(1-p) e^t}\right)^r</math>.
• char or cf — the characteristic function, such as: <math>\left(\frac{p}{1-(1-p) e^{it}}\right)^r</math>.
• pgf - the Probability-generating function.
• fisher — the Fisher information matrix for 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).

• WP:Infobox
• Talk page: Template talk:Probability distribution