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Browsing by Subject "Parameter estimation"

Browsing by Subject "Parameter estimation"

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  • On the solution and parameter estimation problem of a nonlinear intergrodifferential population balance 
    Mourani, Natacha (Notre Dame University-Louaize, 2009)
    The prediction of crystal size distribution from a continuous crystallizer at steady state is important for the simulation, operation and design of crystallizers. In this research, we consider integrodifferential population balance equations (PBE) describing the crystal size distribution for a crystallizer with random growth dispersion and particle agglomeration. We first develop numerical schemes to solve the initial value problem after we establish the well-posedeness of this problem. We then test the performance of these schemes on examples with known solutions. The numerical results from ...
  • Parameter estimation techniques for autoregressive processes 
    Khamisian, Baret (Notre Dame University-Louaize., 2019-10-09)
    The main objective of this work is to find a more straightforward method for estimating the parameters of an equally spaced discrete autoregressive process by using maximum likelihood estimation (MLE) considering it is challenging to obtain the parameters of a nonlinear optimization procedure. The resulting estimated values are tested through simulation and then compared with those obtained using the previous MLE and Yule-Walker estimation. The achieved result yields slightly increased accuracy. Another problem we tackle is the Yule-Walker estimators for the continuous autoregressive models ...