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The Yule prior (as we use it) is proportional to
\lambda^n exp(-\lambda H)
where n is the number of species and H is the sum of heights. Throwing on the 1/lambda prior we can integrate analytically:
\int_0^\infty \lambda^n exp(-\lambda H) 1/\lambda d \lambda
= (n-1)! / H^n
It seems we should just use this as our prior.
The text was updated successfully, but these errors were encountered:
The Yule prior (as we use it) is proportional to
\lambda^n exp(-\lambda H)
where n is the number of species and H is the sum of heights. Throwing on the 1/lambda prior we can integrate analytically:
\int_0^\infty \lambda^n exp(-\lambda H) 1/\lambda d \lambda
= (n-1)! / H^n
It seems we should just use this as our prior.
The text was updated successfully, but these errors were encountered: