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math.PR2013
Rate of Convergence and Large Deviation for the Infinite Color Pólya Urn Schemes
Antar Bandyopadhyay, Debleena Thacker
In this work we consider the \emph{infinite color urn model} associated with a bounded increment random walk on $\Zbold^d$. This model was first introduced by Bandyopadhyay and Tha…
math.PR2013
Random Walks in I.I.D. Random Environment on Cayley Trees
Siva Athreya, Antar Bandyopadhyay, Amites Dasgupta
We consider the random walk in an \emph{i.i.d.} random environment on the infinite -regular tree for . We consider the tree as a Cayley graph of free product of finite…
math.PR2013★ 17 cited
Pólya Urn Schemes with Infinitely Many Colors
Antar Bandyopadhyay, Debleena Thacker
In this work we introduce a new type of urn model with infinite but countable many colors indexed by an appropriate infinite set. We mainly consider the indexing set of colors to b…