On the quantiles of the gamma and F distributions
- 1 March 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 15 (02) , 426-432
- https://doi.org/10.1017/s0021900200045708
Abstract
We show, in the context of a neurobiological problem, that ζ a (α)−ζ a (β) increases with a, while ζ a (α)/ζ a (β) decreases with a, where 0 < β < α < 1 and ζ a (α) is the α th quantile of either the gamma distribution with shape parameter a, or a scaled F distribution with parameters 2a and 2m for any m.Keywords
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