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:

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:.
 * 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:.
 * 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 $$\mathcal{N}(\mu,\sigma^2)$$. The notation should include all the distribution parameters explained in the next cell.
 * parameters — parameters of the distribution family (such as $μ$ and $σ^{2}$ for the normal distribution).
 * support — the support of the distribution, which may depend on the parameters. Specify this as  for continuous distributions, and as   for discrete distributions.
 * pdf — probability density function (or probability mass function), such as: . Please exclude the function label, such as "$ƒ(x; μ,σ^{2})$".
 * cdf — cumulative distribution function, e.g.:.
 * quantile — quantile function (or inverse cumulative distribution function). If $$F$$ is the CDF and $$Q$$ is the quantile function, then $$Q(F(x))=x$$
 * 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.
 * mad — the mean absolute deviation around the mean.
 * 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.
 * cross_entropy — the cross-entropy of the model
 * mgf — the moment-generating function, for example:.
 * char/cf — the characteristic function, such as:.
 * 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
 * moments — formulas to use in Method of moments for the model.
 * ES — the Expected shortfall or CVaR for the model.
 * bPOE — the Buffered Probability of Exceedance 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).

parameters2, support2, pdf2, cdf2, mean2, median2, mode2, variance2, mad, skewness2, kurtosis2, entropy2, mgf2, char2/cf2, moments2, 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.