I’m doing some optimisation that I first did with normal Poisson (only 
parameter theta was estimated), but now I’m doing the same with a zero-inflated 
Poisson model which
gives me two estimated parameters theta and p (p is also pi in some notation).

My question is, is there something equivalent to dpois that would use both of 
the parameters (or is the p parameter possibly unnecessary)?

I’m calculating the “fit” of the Poisson model

i.e. like

x = c(0,1,2,3,4,5,6)
y = c(3062,587,284,103,33,4,2)
fit1 <- sum(y)*dpois(x, est_theta)

and then comparing fit1 to the real observations.
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