https://math.stackexchange.com/questions/2795168/beta-distribution-as-ratio-involving-gamma-distributions
– Ben BolkerJul 26 '19 at 02:37
1
The answer depends on the *joint* distribution, not just the margins. Presuming you mean for them to be independent, the question has been asked and answered multiple times already.
– Glen_bJul 26 '19 at 02:58