On Fitting A Mixture of Two von Mises Distributions, with Applications

Qifeng Jiang successfully defended his M.Sc. project entitled "On Fitting A Mixture of Two von Mises Distributions, with Applications" on 4 June 2009.

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 (qjiang@sfu.ca) or his supervisors Michael Stephens (stephens@stat.sfu.ca) or Richard Lockhart (lockhart@stat.sfu.ca) Department of Statistics and Actuarial Science.

2009-06-04