Tid: 29 september 2014 kl 14.15-15.00.Seminarierummet 3721, Institutionen för matematik, KTH, Lindstedtsvägen 25, plan 7. Karta!
Föredragshållare: Thomas Holgersson, Jönköpings Universitet
Titel: Limiting distributions for individual Mahalanobis distances
Abstract The problem of estimating individual Mahalanobis distances in situations where the dimension of the parent variable increases proportionally with the sample size is discussed. In particular, central limit theorems are derived for two frequently used estimators. Although they behave similarly in finite dimensions, they are shown to have different convergence rates and are centred at two different points in high-dimensional settings. The limiting distributions are valid under some general moment conditions and hence available in a wide range of applications.
|Sidansvarig: Filip Lindskog