# Non-Monotone Transformations of Random Variables

Start with a random variable with a known pdf. If we use a monotone function to transform the random variable, most students who have taken a probability or first-semester statistical theory course know how to express the pdf for the transformed random variable. What do we do if the transformation is not monotone? Nicholas McMullen and Daniel Ochoa prepared a guide to answer this question.

Click here to view their guide.