If (x,y) is a bivariate normal, then what about the distribution of (x+p,y+q), where p and q are independent normal random variables?

The problem is: I have bivariate, normally distributed observations (x,y) to a model. But as I can't observe the original variables, I will observe them as (x+p,y+q) where p and q are some error...

30 January 2013 2,913 7 View