Dirichlet Distribution - Related Distributions

Related Distributions

If, for

then

and

Although the Xis are not independent from one another, they can be seen to be generated from a set of independent gamma random variables (see for proof). Unfortunately, since the sum is lost in forming X, it is not possible to recover the original gamma random variables from these values alone. Nevertheless, because independent random variables are simpler to work with, this reparametrization can still be useful for proofs about properties of the Dirichlet distribution.

Read more about this topic:  Dirichlet Distribution

Famous quotes containing the word related:

    There is nothing but is related to us, nothing that does not interest us,—kingdom, college, tree, horse, or iron show,—the roots of all things are in man.
    Ralph Waldo Emerson (1803–1882)