I did a bunch of searches on this but did not find anything conclusive. Does the generalized beta distribution of the second kind, also known as the generalized beta prime distribution, have a closed-form conjugate prior? If so, could someone tell me what it is, with a literature citation if you happen to have one handy? If not, I’d like to know that too

Any assistance would be greatly appreciated.

I did a bunch of searches on this but did not find anything conclusive. Does the generalized beta distribution of the second kind, also known as the generalized beta prime distribution, have a closed-form conjugate prior? If so, could someone tell me what it is, with a literature citation if you happen to have one handy? If not, I’d like to know that too.