Title: The bivariate Kakutani division process
Authors: Winfried Stute - University of Giessen (Germany) [presenting]
Abstract: The univariate Kakutani division process is a sequential procedure which generates data in the unit interval in such a way, that given data $U_1,\ldots, U_n$, the next $U$ is uniform over the largest interval between two successive (ordered) $U$'s. The empirical process for such data is non-standard. We present the bivariate extension of the Kakutani division process and study the associated empirical process.