# Segment 11. Random Deviates

## Contents

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Links to the slides: PDF file or PowerPoint file

### Problems

#### To Calculate

1. For the Cauchy distribution (Segment 8, Slide 3), find the inverse function of the CDF.

2. In your favorite programming language, write a function that returns independent Cauchy deviates.

1. Suppose you want a function that returns deviates for Student$\displaystyle (\nu)$ . Could you use the Cauchy pdf (or some scaling of it) as a bounding function in a rejection method? How efficient is this (i.e., what fraction of the time does it reject)?