PhD candidate presentations May 8th and May 15th / Exercises for May 8

There is no teaching on the Slava Trudu Day.

Exercises for May 8: Print out the most recent Version E of the Nils Collection (version 0.74 of 1-May-2018, 47 pages). Do Exercises 30, 51, 52, 53.

The PhD candidates taking the course need to give 30 minute presentations to us, as part of their examinations (these are Faculty rules, not my own invention for the occasion). *Martin Tveten* is on for Tue May 8, and *Christoffer Laache* for Tue May 15. Can each of you send me a title and a brief summary (a few lines)?

Here's Martin's title & summary: 

** Cluster analysis with the Dirichlet process mixture

I will present the Dirichlet process mixture (DPM) and explain its close relation to the Chinese Restaurant Process as well as the Polya Urn model. Through an example, we will see that the DPM can be used as a flexible basis for cluster analysis, where one does not have to specify the number of clusters in advance. Rather, a posterior distribution of the number of clusters can be obtained.

Here's Christian title:

** A Phase-type Model for Competing Risks