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I have to predict money amounts, which are always greater than 0. The distribution is very tailed (i.e. there are many small values but also many large data).

Just wondering would a count data model (e.g. GLM + Poisson) be suitable for this kind of scenario?

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No.

  1. you shouldn't expect to get different results by changing from dollars to cents or from working in thousands to working in millions - but that's what happens if you use a Poisson model.

  2. With money amounts you would generally expect spread to be proportional to mean rather than its square root (this would apply also to quasi-Poisson models). Indeed if one considers the effect of changes in inflation/interest under a Poisson or quasi-Poisson model (even if it's just constant either side of one change), we're left with inconsistent assumptions about variance.

Among GLMs "spread proportional to mean" would tend to suggest a gamma model.

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