Hi,

If I have three independent variables that all follow the gamma distribution, what distribution will then sum of these variables follow?

E(X) = 16, Var(X) = 93. X~Gamma(2,65, 6)
E(Y) = 12, Var(Y) = 67. Y~Gamma(2,21, 5,5)
E(Z) = 10, Var(Z) = 59. Z~Gamma(2,1, 5)

Will then,

E(Total) = 38, Var(Total) = 219, Total ~Gamma(a,b)

Will this also be true for depended variables?

Appreciate help here