A Statistician's Adventures in Internet-land J. S. Marron Department of Statistics and Operations Research University of North Carolina Abstract: The analysis and modelling of Internet traffic is an area with a strong need for a wide range of new statistical methodologies. The challenges are particularly acute because the area abounds in non-standard pitfalls such as heavy tailed distributions and long range dependence, which render many standard techniques useless. Even time honored classical notions such as random sampling need re-examination. These problems motivate some non-standard statistical analyses, some fun visualizations, and some new probability theory.