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gamma VS inverse gamma distribution

PostPosted: Sat Mar 25, 2017 6:50 am
by DW916
Dear Johannes.

Could I ask a question about prior distribution? In practice, what is the difference between Gamma and Inverse Gamma distribution?

Thanks a lot!
Catherine

Re: gamma VS inverse gamma distribution

PostPosted: Sat Mar 25, 2017 8:31 am
by jpfeifer
It is mostly a conceptual difference. The inverse gamma distribution does not include 0, while the gamma distribution does. In practice, that does not matter much, because having a zero is a zero probability event in any case. Thus, the practical difference is that the two have somewhat different shapes. See the pictures in the right box at https://en.wikipedia.org/wiki/Inverse-gamma_distribution and https://en.wikipedia.org/wiki/Gamma_distribution