14 citations · 16 across the 2 of their papers we have counts for
4 papers · 1 filter
Maxima of Dirichlet and triangular arrays of gamma variables
Arup Bose, Amites Dasgupta, Krishanu Maulik
Consider a rowwise independent triangular array of gamma random variables with varying parameters. Under several different conditions on the shape parameter, we show that the seque…
Multicolor urn models with reducible replacement matrices
Arup Bose, Amites Dasgupta, Krishanu Maulik
Consider the multicolored urn model where, after every draw, balls of the different colors are added to the urn in a proportion determined by a given stochastic replacement matrix.…
A functional central limit theorem for a class of urn models
Gopal K Basak, Amites Dasgupta
We construct an independent increments Gaussian process associated to a class of multicolor urn models. The construction uses random variables from the urn model which are differen…
Central limit theorems for a class of irreducible multicolor urn models
Gopal K. Basak, Amites Dasgupta
We take a unified approach to central limit theorems for a class of irreducible urn models with constant replacement matrix. Depending on the eigenvalue, we consider appropriate li…