Шаблон: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 = }}
Parameters
- name — Name at the top of the infobox; should be the name of the distribution without the word "distribution" in it, eg "Normal", "Exponential" (optional).
- type — possible values are “discrete” (or “mass”), “continuous” (or “density”), and “multivariate”.
- pdf_image — probability density image-spec plus other text, such as:
[[Image:xxx.svg|250px]]<br/>text here
(optional). - cdf_image — cumulative distribution image-spec plus other text, such as:
[[Image:yyy.svg|250px]]<br/>text here.
(optional). - notation — typical designation for this distribution, for example . 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, eg:
<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 is the CDF and is the quantile function, then
- 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 information entropy.
- 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^{i\,t}}\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).
See also
- WP:Infobox
- Talk page: Template talk:Probability distribution