Luisa T. Fernholz
Temple University  

"On the interaction between Statistics and Computing: In Memory of John W. Tukey"

Abstract
This talk is partially based on my unpublished joint work with John W. Tukey. I will discuss some of Tukey's ideas and comments on data analysis, statistics, mathematical statistics, computing, etc. In that context, I will present examples of how the interaction between statistical theory and statistical computing can be used to generate new methodologies that offer powerful tools for analyzing data. In particular, I will present a data dependent method of outlier detection based on the multihalver (the leave-out-half jackknife). The approach is based on structured sequences to generate the different "halvings" of the data. Examples will be given to show the effectiveness of the multihalver to detect outliers. The multihalver examples are based on my joint work with John W. Tukey, one of his last works in statistics.