On Fitting A Mixture of Two von Mises Distributions, with Applications
Circular data refers to data recorded as points on a circle, either denoting directions, or times when the circle acts as a clock. The von Mises distribution is frequently used to analyze circular datasets with a clear peak. When two clear peaks appear on the circle, a mixture of two von Mises distributions is often used to analyze the data. Parameter estimates are produced by using maximum likelihood estimation, and Watson's $U^2$ is used to test the fit. Two data sets will be discussed in this project: times of Sudden Infant Death Syndrome (SIDS) occurrences and times of Fatal Crash accidents.
This type of interdisciplinary work is a hallmark of our program in Applied Statistics at Simon Fraser University. For more information, please contact Qifeng Jiang (firstname.lastname@example.org) or his supervisors Michael Stephens (email@example.com) or Richard Lockhart (firstname.lastname@example.org) Department of Statistics and Actuarial Science.