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  • - From Applications to Theory
    av Pierre (School of Mathematics and Statistics University of New South Wales, Sydney Australia & INRIA Bordeaux-Sud Ouest Research Center Del Moral
    1 945

    Unlike traditional books presenting stochastic processes in an academic way, this book includes concrete applications that students will find interesting such as gambling, finance, physics, signal processing, statistics, fractals, and biology. Written with an important illustrated guide in the beginning, it contains many illustrations, photos and pictures, along with several website links. Computational tools such as simulation and Monte Carlo methods are included as well as complete toolboxes for both traditional and new computational techniques.

  • av Pierre (School of Mathematics and Statistics University of New South Wales, Sydney Australia & INRIA Bordeaux-Sud Ouest Research Center Del Moral
    796,-

    This book presents the first comprehensive and modern mathematical treatment of these mean field particle models, including refined convergence analysis on nonlinear Markov chain models. It also covers applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology.

  • av Pierre (School of Mathematics and Statistics University of New South Wales, Sydney Australia & INRIA Bordeaux-Sud Ouest Research Center Del Moral
    1 980

    This book presents the first comprehensive and modern mathematical treatment of these mean field particle models, including refined convergence analysis on nonlinear Markov chain models. It also covers applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology.

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