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  • Large deviation principles for random measures

    Creator:
    Hwang, Dae-sik
    Abstract:
    Large deviation theory has experienced much development and interest in the last two decades. A large deviation principle is the exponential decay of the probability of increasingly rare events and the computation of a rate or entropy function which measures the rate of decay. Within the probability literature there has...
    Resource Type:
    Dissertation

  • Observability and information structure of nonlinear systems

    Creator:
    Hwang, Chun Sik
    Abstract:
    An observability problem for both deterministic and stochastic systems is studied here. Deterministic observability is a determination of whether every state of the system is connected to the observation mechanism and how it is connected, if connected. On the other hand, stochastic observability discusses the "tightness" of the connection in...
    Resource Type:
    Dissertation
    Full Text:
    systems AN ABSTRACT OF THE THESIS OF Chun Sik Hwang for the degree of Doctor of Philosophy in