# 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 http://en.wikipedia.org/wiki/Distribution_fitting

There are several ways to determine what the values of $$\theta$$ should be. None of which involve histogramming.

## maximum likelihood method

http://en.wikipedia.org/wiki/Maximum_likelihood

The likelihood is the joint probability di