Monte Carlo and Quasi-Monte Carlo Sampling

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Publisher : Springer Science & Business Media
ISBN 13 : 038778165X
Total Pages : 373 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Sampling by : Christiane Lemieux

Download or read book Monte Carlo and Quasi-Monte Carlo Sampling written by Christiane Lemieux and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Monte Carlo and Quasi-Monte Carlo Methods 2012

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Publisher : Springer Science & Business Media
ISBN 13 : 3642410952
Total Pages : 680 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 2012 by : Josef Dick

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 2012 written by Josef Dick and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the refereed proceedings of the Tenth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of New South Wales (Australia) in February 2012. These biennial conferences are major events for Monte Carlo and the premiere event for quasi-Monte Carlo research. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. The reader will be provided with information on latest developments in these very active areas. The book is an excellent reference for theoreticians and practitioners interested in solving high-dimensional computational problems arising, in particular, in finance, statistics and computer graphics.

Monte Carlo and Quasi-Monte Carlo Methods 2010

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Publisher : Springer Science & Business Media
ISBN 13 : 3642274404
Total Pages : 721 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 2010 by : Leszek Plaskota

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 2010 written by Leszek Plaskota and published by Springer Science & Business Media. This book was released on 2012-08-23 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the refereed proceedings of the Ninth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Warsaw (Poland) in August 2010. These biennial conferences are major events for Monte Carlo and the premiere event for quasi-Monte Carlo research. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. The reader will be provided with information on latest developments in these very active areas. The book is an excellent reference for theoreticians and practitioners interested in solving high-dimensional computational problems arising, in particular, in finance and statistics.

Monte Carlo and Quasi-Monte Carlo Methods 1996

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Publisher : Springer Science & Business Media
ISBN 13 : 1461216907
Total Pages : 463 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 1996 by : Harald Niederreiter

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 1996 written by Harald Niederreiter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo methods are numerical methods based on random sampling and quasi-Monte Carlo methods are their deterministic versions. This volume contains the refereed proceedings of the Second International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing which was held at the University of Salzburg (Austria) from July 9--12, 1996. The conference was a forum for recent progress in the theory and the applications of these methods. The topics covered in this volume range from theoretical issues in Monte Carlo and simulation methods, low-discrepancy point sets and sequences, lattice rules, and pseudorandom number generation to applications such as numerical integration, numerical linear algebra, integral equations, binary search, global optimization, computational physics, mathematical finance, and computer graphics. These proceedings will be of interest to graduate students and researchers in Monte Carlo and quasi-Monte Carlo methods, to numerical analysts, and to practitioners of simulation methods.

Monte Carlo and Quasi-Monte Carlo Methods

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Publisher : Springer Nature
ISBN 13 : 3030434656
Total Pages : 533 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods by : Bruno Tuffin

Download or read book Monte Carlo and Quasi-Monte Carlo Methods written by Bruno Tuffin and published by Springer Nature. This book was released on 2020-05-01 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book presents the refereed proceedings of the 13th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Rennes, France, and organized by Inria, in July 2018. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. Offering information on the latest developments in these very active areas, this book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in finance, statistics and computer graphics.

Monte Carlo and Quasi-Monte Carlo Methods

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Publisher : Springer Nature
ISBN 13 : 3030983196
Total Pages : 315 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods by : Alexander Keller

Download or read book Monte Carlo and Quasi-Monte Carlo Methods written by Alexander Keller and published by Springer Nature. This book was released on 2022-05-20 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the revised papers of the 14th International Conference in Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCQMC 2020, which took place online during August 10-14, 2020. This book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in statistics, machine learning, finance, and computer graphics, offering information on the latest developments in Monte Carlo and quasi-Monte Carlo methods and their randomized versions.

Monte Carlo and Quasi-Monte Carlo Methods 2008

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Publisher : Springer Science & Business Media
ISBN 13 : 3642041078
Total Pages : 669 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 2008 by : Pierre L' Ecuyer

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 2008 written by Pierre L' Ecuyer and published by Springer Science & Business Media. This book was released on 2010-01-14 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the refereed proceedings of the Eighth International Conference on Monte Carlo (MC)and Quasi-Monte Carlo (QMC) Methods in Scientific Computing, held in Montreal (Canada) in July 2008. It covers the latest theoretical developments as well as important applications of these methods in different areas. It contains two tutorials, eight invited articles, and 32 carefully selected articles based on the 135 contributed presentations made at the conference. This conference is a major event in Monte Carlo methods and is the premiere event for quasi-Monte Carlo and its combination with Monte Carlo. This series of proceedings volumes is the primary outlet for quasi-Monte Carlo research.

Monte Carlo and Quasi-Monte Carlo Methods 2006

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Publisher : Springer Science & Business Media
ISBN 13 : 3540744967
Total Pages : 684 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 2006 by : Alexander Keller

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 2006 written by Alexander Keller and published by Springer Science & Business Media. This book was released on 2007-12-30 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the refereed proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held in Ulm, Germany, in August 2006. The proceedings include carefully selected papers on many aspects of Monte Carlo and quasi-Monte Carlo methods and their applications. They also provide information on current research in these very active areas.

Monte Carlo and Quasi-Monte Carlo Methods 2004

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Publisher : Springer Science & Business Media
ISBN 13 : 3540311866
Total Pages : 506 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 2004 by : Harald Niederreiter

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 2004 written by Harald Niederreiter and published by Springer Science & Business Media. This book was released on 2006-02-08 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the refereed proceedings of the Sixth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing and of the Second International Conference on Monte Carlo and Probabilistic Methods for Partial Differential Equations. These conferences were held jointly at Juan-les-Pins (France) in June 2004. The proceedings include carefully selected papers on many aspects of Monte Carlo methods, quasi-Monte Carlo methods, and the numerical solution of partial differential equations. The reader will be informed about current research in these very active areas.

Random Number Generation and Quasi-Monte Carlo Methods

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Publisher : SIAM
ISBN 13 : 0898712955
Total Pages : 243 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Random Number Generation and Quasi-Monte Carlo Methods by : Harald Niederreiter

Download or read book Random Number Generation and Quasi-Monte Carlo Methods written by Harald Niederreiter and published by SIAM. This book was released on 1992-01-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains recent work in uniform pseudorandom number generation and quasi-Monte Carlo methods, and stresses the interplay between them.

Introduction to Quasi-Monte Carlo Integration and Applications

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Publisher : Springer
ISBN 13 : 3319034251
Total Pages : 206 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Quasi-Monte Carlo Integration and Applications by : Gunther Leobacher

Download or read book Introduction to Quasi-Monte Carlo Integration and Applications written by Gunther Leobacher and published by Springer. This book was released on 2014-09-12 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces readers to the basic concepts of quasi-Monte Carlo methods for numerical integration and to the theory behind them. The comprehensive treatment of the subject with detailed explanations comprises, for example, lattice rules, digital nets and sequences and discrepancy theory. It also presents methods currently used in research and discusses practical applications with an emphasis on finance-related problems. Each chapter closes with suggestions for further reading and with exercises which help students to arrive at a deeper understanding of the material presented. The book is based on a one-semester, two-hour undergraduate course and is well-suited for readers with a basic grasp of algebra, calculus, linear algebra and basic probability theory. It provides an accessible introduction for undergraduate students in mathematics or computer science.

Monte Carlo and Quasi-Monte Carlo Methods

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Publisher : Springer
ISBN 13 : 3319335073
Total Pages : 624 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods by : Ronald Cools

Download or read book Monte Carlo and Quasi-Monte Carlo Methods written by Ronald Cools and published by Springer. This book was released on 2016-06-13 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the refereed proceedings of the Eleventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Leuven (Belgium) in April 2014. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. Offering information on the latest developments in these very active areas, this book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in finance, statistics and computer graphics.

Monte Carlo and Quasi-Monte Carlo Methods

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Publisher : Springer Nature
ISBN 13 : 3031597621
Total Pages : 657 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods by : Aicke Hinrichs

Download or read book Monte Carlo and Quasi-Monte Carlo Methods written by Aicke Hinrichs and published by Springer Nature. This book was released on with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monte Carlo and Quasi-Monte Carlo Methods

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Publisher :
ISBN 13 :
Total Pages : 179 pages
Book Rating : 4.:/5 (164 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods by :

Download or read book Monte Carlo and Quasi-Monte Carlo Methods written by and published by . This book was released on 1996 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monte Carlo and Quasi-Monte Carlo Methods 1996

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Publisher :
ISBN 13 : 9781461216919
Total Pages : 468 pages
Book Rating : 4.2/5 (169 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 1996 by : Harald Niederreiter

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 1996 written by Harald Niederreiter and published by . This book was released on 1997-11-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the refereed proceedings of the Sixth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing and of the Second International Conference on Monte Carlo and Probabilistic Methods for Partial Differential Equations. These conferences were held jointly at Juan-les-Pins (France) in June 2004. The proceedings include carefully selected papers on many aspects of Monte Carlo methods, quasi-Monte Carlo methods, and the numerical solution of partial differential equations. The reader will be informed about current research in these very active areas.

Applied Number Theory

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Publisher : Springer
ISBN 13 : 3319223216
Total Pages : 452 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Applied Number Theory by : Harald Niederreiter

Download or read book Applied Number Theory written by Harald Niederreiter and published by Springer. This book was released on 2015-09-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas. Number theory, which Carl-Friedrich Gauss famously dubbed the queen of mathematics, has always been considered a very beautiful field of mathematics, producing lovely results and elegant proofs. While only very few real-life applications were known in the past, today number theory can be found in everyday life: in supermarket bar code scanners, in our cars’ GPS systems, in online banking, etc. Starting with a brief introductory course on number theory in Chapter 1, which makes the book more accessible for undergraduates, the authors describe the four main application areas in Chapters 2-5 and offer a glimpse of advanced results that are presented without proofs and require more advanced mathematical skills. In the last chapter they review several further applications of number theory, ranging from check-digit systems to quantum computation and the organization of raster-graphics memory. Upper-level undergraduates, graduates and researchers in the field of number theory will find this book to be a valuable resource.

Strategies for Quasi-Monte Carlo

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Publisher : Springer
ISBN 13 : 9781461373797
Total Pages : 0 pages
Book Rating : 4.3/5 (737 download)

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Book Synopsis Strategies for Quasi-Monte Carlo by : Bennett L. Fox

Download or read book Strategies for Quasi-Monte Carlo written by Bennett L. Fox and published by Springer. This book was released on 2012-10-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strategies for Quasi-Monte Carlo builds a framework to design and analyze strategies for randomized quasi-Monte Carlo (RQMC). One key to efficient simulation using RQMC is to structure problems to reveal a small set of important variables, their number being the effective dimension, while the other variables collectively are relatively insignificant. Another is smoothing. The book provides many illustrations of both keys, in particular for problems involving Poisson processes or Gaussian processes. RQMC beats grids by a huge margin. With low effective dimension, RQMC is an order-of-magnitude more efficient than standard Monte Carlo. With, in addition, certain smoothness - perhaps induced - RQMC is an order-of-magnitude more efficient than deterministic QMC. Unlike the latter, RQMC permits error estimation via the central limit theorem. For random-dimensional problems, such as occur with discrete-event simulation, RQMC gets judiciously combined with standard Monte Carlo to keep memory requirements bounded. This monograph has been designed to appeal to a diverse audience, including those with applications in queueing, operations research, computational finance, mathematical programming, partial differential equations (both deterministic and stochastic), and particle transport, as well as to probabilists and statisticians wanting to know how to apply effectively a powerful tool, and to those interested in numerical integration or optimization in their own right. It recognizes that the heart of practical application is algorithms, so pseudocodes appear throughout the book. While not primarily a textbook, it is suitable as a supplementary text for certain graduate courses. As a reference, it belongs on the shelf of everyone with a serious interest in improving simulation efficiency. Moreover, it will be a valuable reference to all those individuals interested in improving simulation efficiency with more than incremental increases.