Tests of uniformity for discrete circular data

10/31/2017 - 12:15pm
10/31/2017 - 1:10pm
Speaker: 
Mike Orrison (HMC)
Abstract: 

Suppose you are given a data set that can be viewed as a non-negative integer-valued function defined on a finite set. A natural question to ask is whether the data can be viewed as a sample from a uniform distribution on the set, in which case you might want to apply some sort of test of uniformity to the data. In this talk, I will describe some of the recent work Anna Bargagliotti (Loyola Marymount University) and I have been doing to better understand tests of uniformity when the underlying set is a discretized circle. In particular, I will explain how the discrete Fourier transform and some simple ideas from digital signal processing can be used to create a wide variety of user-friendly tests of uniformity for discrete circular data.

Where: 
Millikan 2099, Pomona College