Kernel of GLM Log-Likelihood

#1
In Agresti's Foundations of Generalized Linear Models, it states that the kernel of the log-likelihood function of a distribution in the exponential family is simply
sum(y_i*theta_i), but I'm confused as to why c(y_i,phi) is not included, as this is also a function of the range.

Basically, I am wondering why the orange squared part is not part of the kernel along with the pink square. Can someone help, please? Thank you.
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fed2

Active Member
#2
id guess because the orange box is not function of theta? so a sort of sufficiency thinger happening, ie when take derivative wrt theta, c term is 0.