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Determine the probability distribution of Z = T1 + ... Tn, where T1, ..., Tn are independent and comma distributed all with the same rate

Determine the probability distribution of Z = T1 + ... Tn, where T1, ..., Tn are independent and comma distributed all with the same rate parameter lambda but with variable shape parameters alpha1, ..., alpha n. i.e The shape parameter of Tn is alpha n

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