This paper gives the exact probability density function of a sum of independent gamma random variables in terms of infinite series. This representation is obtained by means of the technique of the inverse MELLIN transform and is used to derive the distri¬bution function of a ratio of sums of independent gamma random variables whose numera¬tor and denominator may have variables in common.
No takes yet. Share an insight, caveat, or question.
Serge B. Provost (1989) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: