Machine-Learning-A-Probabilistic-Perspective-Solutions
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Problem 3.11.d
You derive the likelihood, then say that the resulting distribution is
Ga(theta | N+1, lam+sum(x_i))
but plugging that into the definition given for the Gamma distribution in the textbook gives
Ga(theta | N+1, lam+sum(x_i)) = [lam+sum(x_i)]^(N+1) theta^N e^(- theta [lam+sum(x_i)])
which is not the likelihood that you derived.
Am I missing something here?