Core Algorithms

Multivariate Distributions

Multivariate continuous and discrete parametric distributions in Mathematica 8.

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plots = Parallelize@{

Plot3D[

PDF[BinormalDistribution[.3], {x, y}], {x, -3, 3}, {y, -3, 3},

Mesh -> None, PlotStyle -> ColorData[45, 1],

PlotLabel -> "Multinormal"],

Plot3D[

PDF[DirichletDistribution[{3, 2, 2}], {x, y}], {x, 0, 1}, {y, 0,

1}, Mesh -> None, PlotStyle -> ColorData[45, 2],

PlotLabel -> "Dirichlet"],

Plot3D[

PDF[MultivariateTDistribution[{{1, 1/3}, {1/3, 2}}, 9], {x,

y}], {x, -3, 3}, {y, -3.5, 3.5}, Mesh -> None,

PlotStyle -> ColorData[45, 3], PlotLabel -> "MultivariateT"],

Plot3D[

PDF[UniformDistribution[{{0, 1}, {1, 3}}], {x, y}], {x, -0.2,

1.2}, {y, 0.8, 3.2}, ExclusionsStyle -> Opacity[0.5],

Mesh -> None, PlotStyle -> ColorData[45, 4],

PlotLabel -> "Uniform"],

DiscretePlot3D[

PDF[MultinomialDistribution[8, {.4, .6}], {x, y}], {x, 0, 8}, {y,

0, 8}, ExtentSize -> 0.5, PlotStyle -> ColorData[45, 5],

PlotLabel -> "Multinomial"],

DiscretePlot3D[

PDF[MultivariateHypergeometricDistribution[7, {12, 13}], {x, y}],

{x, 0, 7}, {y, 0, 7}, ExtentSize -> 0.5,

PlotStyle -> ColorData[45, 6],

PlotLabel -> "MultivariateHypergeometric"],

DiscretePlot3D[

PDF[MultivariatePoissonDistribution[1, {3, 6}], {x, y}], {x, 0,

8}, {y, 0, 8}, ExtentSize -> 0.5, PlotStyle -> ColorData[45, 7],

PlotLabel -> "MultivariatePoisson"],

DiscretePlot3D[

PDF[NegativeMultinomialDistribution[5, {0.3, 0.4}], {x, y}], {x,

0, 10}, {y, 0, 10}, ExtentSize -> 0.5,

PlotStyle -> ColorData[45, 8],

PlotLabel -> "NegativeMultinomial"],

DiscretePlot3D[

PDF[DiscreteUniformDistribution[{{0, 4}, {0, 5}}], {x,

y}], {x, -1, 5}, {y, -1, 6}, ExtentSize -> 0.5,

PlotStyle -> ColorData[45, 9], PlotLabel -> "DiscreteUniform"]};

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