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Monte Carlo Methods

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Monte Carlo MethodsDirk P. KroeseDepartment of MathematicsSchool of Mathematics and PhysicsThe University of These notes were used for an honours/graduate course on Monte Carlomethods at the 2011Summer Schoolof theAustralian Mathematical SciencesInstitute(AMSI).No part of this publication may be reproduced or transmitted without theexplicit permission of the Kroese3PrefaceMany numerical problems in science, engineering, finance, and statistics aresolved nowadays throughMonte Carlo Methods ; that is, through randomexperiments on a computer. The purpose of this AMSI Summer School courseis to provide a comprehensive introduction to Monte Carlo Methods , with amix of theory, algorithms (pseudo + actual), and notes present a highly condensed version Kroese, T.

heavily cut back the contents of the Handbook to a size that is manageable to teach within one semester. I have tried to make these notes fairly self-contained, while retaining the general flavour of the Handbook. However, it was not always possible to keep the logical connections between chapters in the Handbook. For

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