8000 Model for negative binomial · Issue #104 · RohanAlexander/telling_stories · GitHub
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raffaem opened this issue Apr 28, 2025 · 0 comments
Open

Model for negative binomial #104

raffaem opened this issue Apr 28, 2025 · 0 comments

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@raffaem
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raffaem commented Apr 28, 2025 •
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I see that in chapter 13.3 we specify what we are estimating when we estimate a Poisson model

Image

We should do the same for 13.4, the negative binomial model.

Something along the line of:

$y ~ \text{NegativeBinomial}(\lambda, \alpha) $

$\log(\lambda) = \alpha + \beta x$

Also, it would be good to point out that estimating a Poisson model is not the same as estimating a OLS model with the log count as the dependent variable, because with the former we estimate the log of the expected value of count while with the latter we would model the expected value of the log of the count
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