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Jan 31, 2022 at 19:51 comment added Aniko The only restriction is Theta > 0, and the value of 1 does not correspond to any case of special interest. The negative binomial distribution is always overdispersed compared to the Poisson, with smaller values of theta corresponding to more overdispersion [in this specific parametrization]
Dec 20, 2021 at 7:37 comment added MLE What is the range of theta? Does theta have to be a value greater than one?
Jun 16, 2014 at 18:05 history edited gung - Reinstate Monica CC BY-SA 3.0
de-italicized "skew"
May 12, 2011 at 8:35 vote accept MarkDollar
May 6, 2011 at 21:28 comment added MarkDollar You just have to read the first page. So theta (or k in anscombe) is the shape parameter of the negbin distribution and it manages, if the distribution is closer to gamma (k -> 0) or poisson (k -> infinity). But what does it mean to the fit? How can I interpret theta for example for the cars estimation?
May 6, 2011 at 21:20 comment added MarkDollar thanks so far! This is good help... But: How can I interpret high or (low) values of theta? In McCaullaughs book generalized linear models there is a link to this paper from anscombe to make an interpretation of k. But unfortunately I don't really get it. The paper is claremontmckenna.edu/facultysites/math/FacMember/MOneill/…
May 6, 2011 at 20:28 history answered Aniko CC BY-SA 3.0