This is a classical problem. No exact solution exists. See the works by 
Satterthwise and Walsh. 
seth



"ZHANG Yan" <[EMAIL PROTECTED]> wrote in message news:<[EMAIL PROTECTED]>...
> Hea, I got the following problem.
> 
> Suppose Y=X1+X2+...Xn, where Xi (i=1,2...n) are positive i.i.d. gamma
> distribution. I
> hope to find the distribution function of Y, which is denoted as y(t). Or
> find the corresponding vector y with t varies from 0 to 100.
> 
> By using the laplace transform approach, I found that it is impossible to
> inverse the the laplace transform of y(t). and now i can not think of other
> methods to find the vector with respect the varying t.
> 
> 
> Plz give some suggestions. Any information is greatly appreciated!
.
.
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