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Filtering by: Creator Dascaliuc, R. Remove constraint Creator: Dascaliuc, R. Committee Member Thomann, Enrique A. Remove constraint Committee Member: Thomann, Enrique A.

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  • Aggregate Path Coupling for the Generalized Curie-Weiss Model

    Creator:
    Barbosa, Bruno
    Abstract:
    The topic of statistical mechanics has been studied for over a century, and it is one of the pillars of modern physics. This theory can be applied to the study of the thermodynamic behavior of large systems of interacting particles, in which case it is referred to as equilibrium statistical...
    Resource Type:
    Dissertation
    Full Text:
    generalized Curie-Weiss model, introduced by T. Eisele and R. Ellis in 1988, as well as its equilibrium

  • Proving Limit Theorems for Associated Random Variables via Stein's Method

    Creator:
    Jantai, Wasamon
    Abstract:
    Stein's method initially introduced in 1970 by C. Stein is a powerful technique for bounding the distance between the laws of two real-valued random variables. Stein's method has been used to prove distributional convergence to many standard probability distributions such as normal, multivariate normal, Poisson and Brownian motion approximation. In...
    Resource Type:
    Dissertation
    Full Text:
    Dascaliuc and Prof. Juan M. Restrepo, for their comments and suggestions. I also thank Miko laj Kasprzak