In this paper, we prove convergence and fluctuation results for measure-valued Pólya
processes (MVPPs, also known as Pólya urns with infinitely-many colours). Our …

Distributional properties of tree shape statistics under random phylogenetic tree models play
an important role in investigating the evolutionary forces underlying the observed …

We consider interacting urns on a finite directed network, where both sampling and
reinforcement processes depend on the nodes of the network. This extends previous …

Abstract We obtain Azuma-Hoeffding bounds, which are exponentially decreasing, for the
probabilities of being away from the limit for a class of urn models. The method consists of …

We consider weighted negatively reinforced urn schemes with finitely many colours. An urn
scheme is called negatively reinforced, if the selection probability for a colour is proportional …

Various kinds of random reinforcement models have been of much interest in recent years
[36, 58, 49, 10, 40, 59, 66, 24, 31, 35, 33, 55, 30, 28]. Urn schemes, which were first studied …