ON THE QUANTILES OF THE GAMMA AND F DISTRIBUTIONS

We show, in the context of a neurobiological problem, that 4 (a)- 4 (p) increases with a, while , (a)/14 (P/) decreases with a, where 0 < P < a < 1 and 4? (a) is the a th quantile of either the gamma distribution with shape parameter a, or a scaled F distribution with parameters 2a and 2m for any m. F DISTRIBUTION; GAMMA DISTRIBUTION; QUANTILES; ORDERING IN DISPERSION