3 papers
stat.ME2009
U-Quantile-Statistics
Michael Mayer
In 1948, W. Hoeffding introduced a large class of unbiased estimators called U-statistics, defined as the average value of a real-valued m-variate function h calculated at all poss…
math.ST2007
U-max-Statistics
Wei Lao, Michael Mayer
In 1948, W. Hoeffding introduced a large class of unbiased estimators called U-statistics, defined as the average value of a real-valued k-variate function h calculated at all poss…
math.PR2006
A limit theorem for the maximal interpoint distance of a random sample in the unit ball
Michael Mayer, Ilya Molchanov
We prove a limit theorem for the the maximal interpoint distance (also called the diameter) for a sample of n i.i.d. points in the unit ball of dimension 2 or more. The exact form…