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Density of multivariate t-distribution

In this exercise, you will calculate the density of multivariate t-distributions using the 200 samples generated in the previous exercise, that were stored in the multt.sample object.

Cet exercice fait partie du cours

Multivariate Probability Distributions in R

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Instructions

  • Calculate the density heights of the 200 samples in multt.sample for a bivariate t-distribution with location mu.sim, variance-covariance matrix sigma.sim and 5 degrees of freedom.
  • Create a 3d scatterplot to visualize the density heights at each of the 200 points.

Exercice interactif pratique

Essayez cet exercice en complétant cet exemple de code.

# Calculate densities
multt.dens <- dmvt(___) 

# Plot 3D heights of densities
___(___(___, multt.dens),     
                 color = "blue", pch = "", type = "h",             
                              xlab = "x", ylab = "y", zlab = "density")
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