Basin-volume notes

probability distribution

The end result of this project will be a series of volumes sampled from an unknown probability distribution. We want to determine what that distibution will be. We will have a functional form for that distribution \(P(V | \theta )\) where \(\theta\) are the unknown parameters of the distibution. In the past we’ve used a generalized Gaussian. \(P(V | \theta)\) is the biased distribution, so it will be the generalized gaussian times \(V\). This is mostly taken from