I am looking for help pointing me in the direction of any literature or other known work that analyze the probability distribution or other important properties of random variables of the form $AB^{-1}$, where $A,B$ are independent matrix random variables whose entries from some i.i.d. random variables, such as $N(0,1)$.
I am interested in seeing what techniques have been developed for analyzing such expressions, so that I can try to see if I can adapt any of those techniques to my own problem, which involves trying to obtain probabilistic bounds on a random variable that also has the form $AB^{-1}$.