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5 papers · 2 filters
Strong Laws for Urn Models with Balanced Replacement Matrices
Amites Dasgupta, Krishanu Maulik
We consider an urn model, whose replacement matrix has all entries nonnegative and is balanced, that is, has constant row sums. We obtain the rates of the counts of balls correspon…
On the range, local times and periodicity of random walk on an interval
Siva Athreya, Sunder Sethuraman, Balint Toth
The range, local times, and periodicity of symmetric, weakly asymmetric and asymmetric random walks at the time of exit from a strip with locations are considered. Several resu…
Free subexponentiality
Rajat Subhra Hazra, Krishanu Maulik
In this article, we introduce the notion of free subexponentiality, which extends the notion of subexponentiality in the classical probability setup to the noncommutative probabili…
Process convergence of self normalized sums of i.i.d. random variables coming from domain of attraction of stable distributions
G K Basak, Arunangshu Biswas
In this paper we show that the continuous version of the self normalised process where and $…
Tempered stable laws as random walk limits
Arijit Chakrabarty, Mark M. Meerschaert
Stable laws can be tempered by modifying the Lévy measure to cool the probability of large jumps. Tempered stable laws retain their signature power law behavior at infinity, and in…