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4 papers · 2 filters
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…
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…
An Ornstein-Uhlenbeck process associated to self-normalized sums
Gopal K. Basak, Amites Dasgupta
We consider an Ornstein-Uhleneck (OU) process associated to self-normalised sums in i.i.d. symmetric random variables from the domain of attraction of distribution. We pr…
Random directed forest and the Brownian web
Rahul Roy, Kumarjit Saha, Anish Sarkar
Consider the dimensional lattice where each vertex is open or closed with probability or respectively. An open vertex $\mathbb{u} := (\mathbb{u}(1), \m…