12 citations · 21 across the 25 of their papers we have counts for
7 papers · 1 filter
The limit law of the largest interpoint distance in a -dimensional ellipsoid
Norbert Henze, Sreenivasa Rao Jammalamadaka
We consider the largest interpoint distance among independent random points , uniformly distributed on a -dimensional ellip…
The location of the largest exponential spacing and Euler's generalized pentagonal numbers
Norbert Henze
We study the location of the largest spacing generated by the order statistics of a sample from the standard exponential distribution. Although the asymptotic behaviour of the larg…
A 4/7-limit law for the largest interpoint distance in a rotational ellipsoid
Norbert Henze
Let denote the largest interpoint distance among independent random points uniformly distributed in a compact set in . Weak limit laws for …
Limit laws for large kth-nearest neighbor balls
Nicolas Chenavier, Norbert Henze, Moritz Otto
Let be a sequence of independent random points in with common Lebesgue density . Under some conditions on , we obtain a Poisson limit theorem,…
Curiosities regarding waiting times in Pólya's urn model
Norbert Henze, Mark P. Holmes
Consider an urn initially containing black and white balls. Select a ball at random and observe its color. If it is black, stop. Otherwise, return the white ball together w…
The limit distribution of the maximum probability nearest neighbor ball
László Györfi, Norbert Henze, Harro Walk
Let be independent random points drawn from an absolutely continuous probability measure with density in . Under mild conditions on , we der…
Absent-minded passengers
Norbert Henze, Günter Last
Passengers board a fully booked airplane in order. The first passenger picks one of the seats at random. Each subsequent passenger takes his or her assigned seat if available, othe…