156 citations · 1.4k across the 61 of their papers we have counts for
4 papers · 1 filter
Some results concerning maximum Renyi entropy distributions
Oliver Johnson, Christophe Vignat
We consider the Student-t and Student-r distributions, which maximise Renyi entropy under a covariance condition. We show that they have information-theoretic properties which mirr…
A Central Limit Theorem for non-overlapping return times
Oliver Johnson
Define the non-overlapping return time of a random process to be the number of blocks that we wait before a particular block reappears. We prove a Central Limit Theorem based on th…
The empirical process in Mallows distance, with application to goodness-of-fit tests
Richard Samworth, Oliver Johnson
This paper has been temporarily withdrawn, pending a revised version taking into account similarities between this paper and the recent work of del Barrio, Gine and Utzet (Bernoull…
Preservation of log-concavity on summation
Oliver Johnson, Christina Goldschmidt
We extend Hoggar's theorem that the sum of two independent discrete-valued log-concave random variables is itself log-concave. We introduce conditions under which the result still…