I understand that the likelihood function is a product and hence the log
likelihood function is a sum. However I can't figure out what the problem
is.

Here's the likelihood function:

[(alpha1*beta2*gamma)^v1 exp^(-alpha1*beta2*gamma)]/v1! * [(alpha2*beta1)^v2
exp^(-alpha2*beta1)]/v2!

Isn't the log-likelihood function as I calculated before?

Thanks,
DJ

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