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Is there someone who knows an econmetric model to describe count datas with an upper bound? Thank you!

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Depends on why it has an upper bound: is it like a binomial?Describe your outcome! – Aniko May 14 '11 at 16:25
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You can write your Poisson or neg binomial likelihood for the outcomes that are observed with a step of 1, and for the censored outcomes as a sum over the remaining probabilities from the upper bound to infinity. It's probably 15 lines or so in Stata. – StasK Sep 19 '12 at 3:07

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You may assume that data above some threhold are cencored and not observed, and use the censored count model will be a way to go.

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