************************************************************************* Department of Mathematical Sciences The Johns Hopkins University SEMINAR ************************************************************************* J.S. Marron April 11, 2002 Department of Statistics 304 Whitehall Hall University of North Carolina Refreshments: 3:30 PM Chapel Hill, North Carolina Seminar: 4:00 PM ************************************************************************* A STATISTICIAN'S ADVENTURES IN INTERNET-LAND ************************************************************************* 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.