Zobrazeno 1 - 10
of 86
pro vyhledávání: '"BANDYOPADHYAY, ANTAR"'
Publikováno v:
Statistics & Probability Letters, 193: Paper No. 109697 (2023), 1-8
In this work, we consider a modification of time \emph{inhomogeneous} branching random walk, where the driving increment distribution changes over time macroscopically. Following Bandyopadhyay and Ghosh (2021), we give certain independent and identic
Externí odkaz:
http://arxiv.org/abs/2110.04532
In this work, we consider a modification of the usual Branching Random Walk (BRW), where we give certain independent and identically distributed (i.i.d.) displacements to all the particles at the $n$-th generation, which may be different from the dri
Externí odkaz:
http://arxiv.org/abs/2106.02880
We consider the random walk in an independent and identically distributed (i.i.d.) random environment on a Cayley graph of a finite free product of copies of $\mathbb{Z}$ and $\mathbb{Z}_2$. Such a Cayley graph is readily seen to be a regular tree. U
Externí odkaz:
http://arxiv.org/abs/2001.09628
Publikováno v:
Journal of Applied Probability, 57(3): 853 - 865 2020
We consider the generalization of the P\'olya urn scheme with possibly infinite many colors as introduced in \cite{Th-Thesis, BaTH2014, BaTh2016, BaTh2017}. For countable many colors, we prove almost sure convergence of the urn configuration under \e
Externí odkaz:
http://arxiv.org/abs/1904.06144
Autor:
Bandyopadhyay, Antar, Kaur, Gursharn
In this paper, we consider a new type of urn scheme, where the selection probabilities are proportional to a weight function, which is linear but decreasing in the proportion of existing colours. We refer to it as the \emph{negatively reinforced} urn
Externí odkaz:
http://arxiv.org/abs/1801.02380
Publikováno v:
In Stochastic Processes and their Applications April 2022 146:80-97
Publikováno v:
Journal of Applied Probability, 2020 Sep 01. 57(3), 853-865.
Externí odkaz:
https://www.jstor.org/stable/48656285
In this work we generalize Polya urn schemes with possibly infinitely many colors and extend the earlier models described in [4, 5, 7]. We provide a novel and unique approach of representing the observed sequence of colors in terms a branching Markov
Externí odkaz:
http://arxiv.org/abs/1606.05317
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 Thacker (2013). We prove that the rate of convergence of the expected con
Externí odkaz:
http://arxiv.org/abs/1310.5751
We consider the random walk in an \emph{i.i.d.} random environment on the infinite $d$-regular tree for $d \geq 3$. We consider the tree as a Cayley graph of free product of finitely many copies of $\Zbold$ and $\Zbold_2$ and define the i.i.d. enviro
Externí odkaz:
http://arxiv.org/abs/1307.3353