• Central Limit Theorems for a Class of Irreducible Multicolor Urn Models

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    • Keywords


      Central limit theorem; Markov chains; martingale; urn models.

    • Abstract


      We take a unified approach to central limit theorems for a class of irreducible multicolor urn models with constant replacement matrix. Depending on the eigenvalue, we consider appropriate linear combinations of the number of balls of different colors. Then under appropriate norming the multivariate distribution of the weak limits of these linear combinations is obtained and independence and dependence issues are investigated. Our approach consists of looking at the problem from the viewpoint of recursive equations.

    • Author Affiliations


      Gopal K Basak1 Amites Dasgupta1

      1. Stat-Math Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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