Template:Infobox probability distribution/doc

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   = 
| mad        =
| aad        = 
| skewness   = 
| kurtosis   = 
| entropy    = 
| cross_entropy = 
| mgf        = 
| cf         = 
| pgf        = 
| fisher     = 
| moments    = 
| KLdiv      = 
| JSDiv      = 
}}

Parameters

• Template:Para — 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)
• Template:Para — possible values are "discrete" (or "mass"), "continuous" (or "density"), and "multivariate"
• Template:Para — probability density image-spec, such as: xxx.svg.
• Template:Para — probability density image caption
• Template:Para — alternative text for the image in Template:Para
• Template:Para — cumulative distribution image-spec, such as: yyy.svg.
• Template:Para — cumulative distribution image caption
• Template:Para — alternative text for the image in Template:Para
• Template:Para — typical designation for this distribution, for example $𝒩(\mu ,{\sigma }^2)$. The notation should include all the distribution parameters explained in the next cell.
• Template:Para — parameters of the distribution family (such as Template:Mvar and Template:Math for the normal distribution).
• Template:Para — 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.
• Template:Para — 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 "Template:Math".
• Template:Para — cumulative distribution function, e.g.: <math>I_p(r,k+1)\text{ where }I_p(x,y)</math> is the [[regularized incomplete beta function]].
• Template:Para — quantile function (or inverse cumulative distribution function). If $F()$ is the CDF and $Q()$ is the quantile function, then $Q(F(x))=x$
• Template:Para — the mean, or expected value.
• Template:Para — the median, only for univariate distributions.
• Template:Para — the mode.
• Template:Para — variance of the distribution, or covariance matrix in multivariate case.
• Template:Para — the median absolute deviation around the median.
• Template:Para — the mean absolute deviation around the mean.
• Template:Para — the skewness.
• Template:Para — the kurtosis excess.
• Template:Para — 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.
• Template:Para — the cross-entropy of the model
• Template:Para — the moment-generating function, for example: <math>\left(\frac{p}{1-(1-p) e^t}\right)^r</math>.
• Template:Para/Template:Para — the characteristic function, such as: <math>\left(\frac{p}{1-(1-p) e^{it}}\right)^r</math>.
• Template:Para - the Probability-generating function.
• Template:Para — the Fisher information matrix for the model.
• Template:Para — the Kullback-Leibler divergence of the model
• Template:Para — the Jensen-Shannon divergence of the model
• Template:Para — formulas to use in Method of moments for the model.
• Template:Para — the Expected shortfall or CVaR for the model.
• Template:Para — the Buffered Probability of Exceedance for the model.
• Template:Para — optional message which will be displayed before all other content in the infobox.
• Template:Para — margin space left of infobox (default: 1em).
• Template:Para — width of the infobox (default: 325px).

Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para, Template:Para/Template:Para, Template:Para, Template:Para 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

• Template:Clc