The joint distribution is just the product of marginals.

Then the joint distribution of is spherically symmetric, up to a location shift.

In addition to these, questions of homogeneity apply also to the joint distributions.

Simply, we can derive the joint distribution of and :

There is at least one example case of a joint distribution where the variables are subindependent, but not independent.

Whether the jerry-rigged joint distribution of incomes resembles the real one is an open question.

The two variables form a joint distribution for the response variable ().

This relates closely to the discussion above about the factor that stems from the joint distribution.

Suppose we want to obtain samples of from a joint distribution .

The samples then approximate the joint distribution of all variables.