I'm learning bayesian and I need to do some proofs that I'm not quite sure I can do. Any help will be very welcome!
If $\theta \text{~Unif}(0,1)$
What's the density of $y = - \log\theta$?
And what's density of $\theta \ (1-\theta)$?
Finally, what's density of $\log (\theta \ (1 - \theta))$?
Thanks