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Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as ""Monte Carlo."" The book treats the subject generically through the first eight chapters and, thus, should be of use to anyone who wants to learn to use Monte Carlo. The next two chapters focus on applications in nuclear engineering, which are illustrative of uses in other fields. Five appendices are included, which provide useful information on probability distributions, general-purpose Monte Carlo codes for radiation transport, and other matters. The famous ""Buffon's needle p
Monte Carlo method. --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes
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The Monte Carlo method is inherently parallel and the extensive and rapid development in parallel computers, computational clusters and grids has resulted in renewed and increasing interest in this method. At the same time there has been an expansion in the application areas and the method is now widely used in many important areas of science including nuclear and semiconductor physics, statistical mechanics and heat and mass transfer. This book attempts to bridge the gap between theory and practice concentrating on modern algorithmic implementation on parallel architecture machines. Althoug
Monte Carlo method. --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes --- Monte Carlo method --- Monte-Carlo, Méthode de
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Monte Carlo method --- Data processing --- Data processing. --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes
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Ce livre expose les principaux outils utilis?'s pour la simulation statistique du point de vue du programmeur et montre comment les impl menter sous R. Il pr sente les algorithmes de base pour la g n ration de donn es al atoires, les techniques de monte Carlo pour l int gration et l optimisation, les diagnostiques de convergence, les cha nes de Markov, les algorithmes adaptatifs et les algorithmes de Metropolis-Hastings and Gibbs. Tous les chapitres incluent des exercices. Les programmes R sont quant eux disponibles dans un package sp cifique. Le livre s adresse toute personne que la stimulati
Monte Carlo method. --- Statistical physics. --- Physics --- Mathematical statistics --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes --- Statistical methods
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Meteorological optics --- Monte Carlo method --- Monte-Carlo, Méthode de --- Meteorological optics. --- Monte Carlo method. --- Monte-Carlo, Méthode de --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes --- Atmospheric optics --- Optics, Meteorological --- Atmospheric physics
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Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. This edition now contains material describing powerful new algorithms that have appeared since the previous edition was published, and highlights recent technical advances and key applications that these algorithms now make possible. Updates also include several new sections and a chapter on the use of Monte Carlo simulations of biological molecules. Throughout the book there are many applications, examples, recipes, case studies, and exercises to help the reader understand the material. It is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.
Monte Carlo method. --- Statistical physics. --- Monte-Carlo, Méthode de --- Physique statistique --- Monte Carlo method --- Statistical physics --- Monte-Carlo, Méthode de --- Physics --- Mathematical statistics --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes --- Statistical methods
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Quasi–Monte Carlo methods have become an increasingly popular alternative to Monte Carlo methods over the last two decades. Their successful implementation on practical problems, especially in finance, has motivated the development of several new research areas within this field to which practitioners and researchers from various disciplines currently contribute. This book presents essential tools for using quasi–Monte Carlo sampling in practice. The first part of the book focuses on issues related to Monte Carlo methods—uniform and non-uniform random number generation, variance reduction techniques—but the material is presented to prepare the readers for the next step, which is to replace the random sampling inherent to Monte Carlo by quasi–random sampling. The second part of the book deals with this next step. Several aspects of quasi-Monte Carlo methods are covered, including constructions, randomizations, the use of ANOVA decompositions, and the concept of effective dimension. The third part of the book is devoted to applications in finance and more advanced statistical tools like Markov chain Monte Carlo and sequential Monte Carlo, with a discussion of their quasi–Monte Carlo counterpart. The prerequisites for reading this book are a basic knowledge of statistics and enough mathematical maturity to follow through the various techniques used throughout the book. This text is aimed at graduate students in statistics, management science, operations research, engineering, and applied mathematics. It should also be useful to practitioners who want to learn more about Monte Carlo and quasi–Monte Carlo methods and researchers interested in an up-to-date guide to these methods. Christiane Lemieux is an Associate Professor and the Associate Chair for Actuarial Science in the Department of Statistics and Actuarial Science at the University of Waterloo in Canada. She is an Associate of the Society of Actuaries and was the winner of a "Young Researcher Award in Information-Based Complexity" in 2004.
Monte Carlo method. --- Numerical analysis. --- Mathematical analysis --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes --- Mathematical statistics. --- Statistical Theory and Methods. --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical methods --- E-books --- Monte Carlo method --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics
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1. Preface. 2. An Introduction to Monte Carlo Methods. 3. Constructing a Simulation. 4. The Single Scattering Model. 5. The Plural Scattering Model. 6. Practical Applications of Monte Carlo Models. 7. Backscattered Electrons. 8. Charge Collection and Cathodoluminescence. 9. Secondary Electrons and Imaging. 10. X-Ray Production and Micro-Analysis. 11. What Next in Monte Carlo Simulations?
Electron microscopy --- Electron probe microanalysis --- Monte Carlo method. --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes --- Electron microprobe analysis --- Electron probe analysis --- Microprobe analysis --- Microscopy --- Computer simulation. --- Electron probe microanalysis - Computer simulation --- Monte Carlo method --- Electron microscopy - Computer simulation --- Monte-Carlo, Méthode de
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Ce livre est une introduction aux techniques de simulation. Après un bref rappel des techniques fondamentales du calcul des probabilités, il expose divers procédés pour générer en grande quantités des nombres aléatoires. Les transformations de variables utilisées pour simuler des échantillons fictifs d'une variable aléatoire et les tests d'hypothèses font l'objet des chapitres suivants. La dernière partie porte sur la méthode de Monte Carlo et ses applications. Tout au long de l'ouvrage, le lecteur est guidé par de nombreux exemples qui illustrent les applications très concrètes des méthodes p
Numerical analysis --- Monte Carlo method. --- Probabilities. --- Mathematical statistics. --- Simulation methods. --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Probability --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical calculations --- Stochastic processes --- Mathematical analysis --- Statistical methods
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Research without statistics is like water in the sand; the latter is necessary to reap the benefits of the former. This collection of articles is designed to bring together different approaches to applied statistics. The studies presented in this book are a tiny piece of what applied statistics means and how statistical methods find their usefulness in different fields of research from theoretical frames to practical applications such as genetics, computational chemistry, and experimental design. This book presents several applications of the statistics: A new continuous distribution with five parameters—the modified beta Gompertz distribution; A method to calculate the p-value associated with the Anderson–Darling statistic; An approach of repeated measurement designs; A validated model to predict statement mutations score; A new family of structural descriptors, called the extending characteristic polynomial (EChP) family, used to express the link between the structure of a compound and its properties. This collection brings together authors from Europe and Asia with a specific contribution to the knowledge in regards to theoretical and applied statistics.
molecular descriptors --- compound symmetry --- Anderson–Darling test (AD) --- software testing --- probability --- characteristic polynomial (ChP) --- mutation testing --- C20 fullerene --- fullerene congeners --- machine learning --- maximum likelihood estimation --- gompertz distribution --- modified beta generator --- structure–property relationships --- repeated measurement designs --- Monte Carlo simulation
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