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Monte Carlo Strategies in Scientific Computing [Hardcover]

Jun S. Liu (Author)
3.5 out of 5 stars  See all reviews (6 customer reviews)


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Book Description

0387952306 978-0387952307 January 4, 2008 Corrected

This paperback edition is a reprint of the 2001 Springer edition.

This book provides a self-contained and up-to-date treatment of the Monte Carlo method and develops a common framework under which various Monte Carlo techniques can be "standardized" and compared. Given the interdisciplinary nature of the topics and a moderate prerequisite for the reader, this book should be of interest to a broad audience of quantitative researchers such as computational biologists, computer scientists, econometricians, engineers, probabilists, and statisticians. It can also be used as the textbook for a graduate-level course on Monte Carlo methods. Many problems discussed in the alter chapters can be potential thesis topics for masters’ or Ph.D. students in statistics or computer science departments.

Jun Liu is Professor of Statistics at Harvard University, with a courtesy Professor appointment at Harvard Biostatistics Department. Professor Liu was the recipient of the 2002 COPSS Presidents' Award, the most prestigious one for statisticians and given annually by five leading statistical associations to one individual under age 40. He was selected as a Terman Fellow by Stanford University in 1995, as a Medallion Lecturer by the Institute of Mathematical Statistics (IMS) in 2002, and as a Bernoulli Lecturer by the International Bernoulli Society in 2004. He was elected to the IMS Fellow in 2004 and Fellow of the American Statistical Association in 2005. He and co-workers have published more than 130 research articles and book chapters on Bayesian modeling and computation, bioinformatics, genetics, signal processing, stochastic dynamic systems, Monte Carlo methods, and theoretical statistics.

"An excellent survey of current Monte Carlo methods. The applications amply demonstrate the relevance of this approach to modern computing. The book is highly recommended." (Mathematical Reviews)

"This book provides comprehensive coverage of Monte Carlo methods, and in the process uncovers and discusses commonalities among seemingly disparate techniques that arose in various areas of application. … The book is well organized; the flow of topics follows a logical development. … The coverage is up-to-date and comprehensive, and so the book is a good resource for people conducting research on Monte Carlo methods. … The book would be an excellent supplementary text for a course in scientific computing … ." (SIAM Review)

"The strength of this book is in bringing together advanced Monte Carlo (MC) methods developed in many disciplines. … Throughout the book are examples of techniques invented, or reinvented, in different fields that may be applied elsewhere. … Those interested in using MC to solve difficult problems will find many ideas, collected from a variety of disciplines, and references for further study." (Technometrics)


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Editorial Reviews

Review

From the reviews:

MATHEMATICAL REVIEWS

"This book is an excellent survey of current Monte Carlo methods. A strength of the book is the inclusion of a number of applications to current scientific problems. The applications amply demonstrate the relevance of this approach to modern computing. There is a fairly thorough coverage of wide variety of Monte Carlo algorithms that have arisen in diverse fields such as physics, chemistry, biology, etc., and the relationship among them. The book is highly recommended."

SHORT BOOK REVIEWS

"This is a worthwhile reference to recent advances in sequential Monte Carlo, primarily Bayesian and Markov Chain methods. To those with an interest in these topics, it is worth a read."

"This well written book discusses why Monte Carlo techniques are needed, the importance of Monte Carlo in bioinformatics, target tracking in nonlinear dynamic systems, in missing data analysis … . The references are exhaustive. I enjoyed reading this book and learned a lot about the genetic applications of Monte Carlo techniques. I recommend this book highly to statisticians and geneticists." (Ramalingam Shanmugam, Journal of Statistical Computation and Simulation, Vol. 74 (8), 2004)

"Markov chain Monte Carlo … was introduced to tackle more sophisticated and realistic statistical models as in the Bayesian approach of statistics. The author is well known in the area of MCMC methods … . The book is written in a proper style … . It provides an actual view of theoretical developments complemented by applications … . It may be highly recommended for scientists and graduate students who want to gain some insight in either the theory or application of advanced Monte Carlo methods." (Ernst Stadlober, Metrika, February, 2004)

"This book provides comprehensive coverage of Monte Carlo methods, and in the process uncovers and discusses commonalities among seemingly disparate techniques that arose in various areas of application. … The book is well organized; the flow of topics follows a logical development. … The coverage is up-to-date and comprehensive, and so the book is a good resource for people conducting research on Monte Carlo methods. … The book would be an excellent supplementary text for a course in scientific computing … ." (James E. Gentle, SIAM Review, Vol. 44 (3), 2002)

"The strength of this book is in bringing together advanced Monte Carlo (MC) methods developed in many disciplines. … Throughout the book are examples of techniques invented, or reinvented, in different fields that may be applied elsewhere. … Monte Carlo Strategies in Scientific Computing offers a large … variety of methods and examples. Those interested in using MC to solve difficult problems will find many ideas, collected from a variety of disciplines, and references for further study." (Tim Hesterberg, Technometrics, Vol. 44 (4), 2002)

"This recent addition to the Monte Carlo literature is divided into 13 chapters and an appendix. It provides both the methodology and the underlying theory for applying Monte Carlo techniques to a broad range of problems. … In the Appendix the author outlines the basics in probability theory and statistical inference procedures. … this book is a valuable and recommended reference to Monte Carlo methods; particularly it draws the attention to recent work in sequential Monte Carlo." (Radu Theodorescu, Zentralblatt MATH, Vol. 991, 2002)

"The book gives a good introduction to current Monte Carlo methods and explains the terminology on a moderate level of abstraction. It becomes clear that any specific problem needs a tailored algorithm to be efficient. This is the reason for the emergence of variance reduction methods, importance sampling, rejection, sequential MC, Metropolis algorithms, Gibbs samplers, Markov Chain MC (MCMC), or hybrid MC with molecular dynamics. … it is one of the first attempts to show the general principles behind an apparent zoo of methods." (W. Wiechert, Simulation News Europe, Issue 34, 2002)

"The book targets a broader topic, namely all Monte Carlo methods. … No prior MCMC knowledge is assumed, and the topics are introduced and motivated along the way. … The book mentions plenty of real life situations where the techniques discussed … may be applied. … this book is sure to help the aspiring student eager to peep into the world of Monte Carlo. At the same time its extensive bibliography and references will make it useful as a handbook for the more advanced researcher." (Arnab Chakraborty, Sankhya: Indian Journal of Statistics, Vol. 64 (1B), 2002)

From the Back Cover

This paperback edition is a reprint of the 2001 Springer edition. This book provides a self-contained and up-to-date treatment of the Monte Carlo method and develops a common framework under which various Monte Carlo techniques can be "standardized" and compared. Given the interdisciplinary nature of the topics and a moderate prerequisite for the reader, this book should be of interest to a broad audience of quantitative researchers such as computational biologists, computer scientists, econometricians, engineers, probabilists, and statisticians. It can also be used as the textbook for a graduate-level course on Monte Carlo methods. Many problems discussed in the alter chapters can be potential thesis topics for masters’ or Ph.D. students in statistics or computer science departments. Jun Liu is Professor of Statistics at Harvard University, with a courtesy Professor appointment at Harvard Biostatistics Department. Professor Liu was the recipient of the 2002 COPSS Presidents' Award, the most prestigious one for statisticians and given annually by five leading statistical associations to one individual under age 40. He was selected as a Terman Fellow by Stanford University in 1995, as a Medallion Lecturer by the Institute of Mathematical Statistics (IMS) in 2002, and as a Bernoulli Lecturer by the International Bernoulli Society in 2004. He was elected to the IMS Fellow in 2004 and Fellow of the American Statistical Association in 2005. He and co-workers have published more than 130 research articles and book chapters on Bayesian modeling and computation, bioinformatics, genetics, signal processing, stochastic dynamic systems, Monte Carlo methods, and theoretical statistics. "An excellent survey of current Monte Carlo methods. The applications amply demonstrate the relevance of this approach to modern computing. The book is highly recommended." (Mathematical Reviews) "This book provides comprehensive coverage of Monte Carlo methods, and in the process uncovers and discusses commonalities among seemingly disparate techniques that arose in various areas of application. … The book is well organized; the flow of topics follows a logical development. … The coverage is up-to-date and comprehensive, and so the book is a good resource for people conducting research on Monte Carlo methods. … The book would be an excellent supplementary text for a course in scientific computing … ." (SIAM Review) "The strength of this book is in bringing together advanced Monte Carlo (MC) methods developed in many disciplines. … Throughout the book are examples of techniques invented, or reinvented, in different fields that may be applied elsewhere. … Those interested in using MC to solve difficult problems will find many ideas, collected from a variety of disciplines, and references for further study." (Technometrics) --This text refers to the Paperback edition.

Product Details

  • Hardcover: 360 pages
  • Publisher: Springer; Corrected edition (January 4, 2008)
  • Language: English
  • ISBN-10: 0387952306
  • ISBN-13: 978-0387952307
  • Product Dimensions: 9.3 x 6.1 x 0.8 inches
  • Shipping Weight: 1.3 pounds
  • Average Customer Review: 3.5 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #1,635,968 in Books (See Top 100 in Books)

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Customer Reviews

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Average Customer Review
3.5 out of 5 stars (6 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

16 of 18 people found the following review helpful:
5.0 out of 5 stars An excellent book on Monte Carlo, May 3, 2006
This review is from: Monte Carlo Strategies in Scientific Computing (Hardcover)
Jun Liu has been a prominent researcher in MCMC since the mid 90's. His research has contributed a great deal to the development of Gibbs sampler, sequential Monte Carlo, weighting/importance sampling, missing data, and MCMC related applications in Bioinformatics. Not surprisingly, this book has them all, plus many other interesting topics. The final two chapters review some of the theories. This book has a strong flavor in statistical physics, which I like very much. It also contains some applications in, for examples, engineering (e.g. nonlinear filter, sequential Monte Carlo), biology (DNA sequencing), image analysis (clustering) and stochastic optimization.
Jun Liu presents things very clearly and concisely, and hopefully you can benefit from his book.
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33 of 48 people found the following review helpful:
5.0 out of 5 stars A First Rate Book on MC, August 6, 2001
By A Customer
This review is from: Monte Carlo Strategies in Scientific Computing (Hardcover)
The author is a top young gun from Harvard's Statistics Dept., and is an expert in many applied areas that utilize Monte Carlo, like the red hot bioinformatics. This book covers MC techniques developed in many different fields e.g., physics,structural biology, statistics. It has a wide range of examples, some of which are very new (e.g., bioinformatics) and non-standard. It contains many interesting ideas, and is concise mathematically and easy to read. Highly recommended.
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5 of 8 people found the following review helpful:
2.0 out of 5 stars Lots of content but badly edited, September 13, 2009
By 
C (California) - See all my reviews
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I purchased this book because it had a section on Hybrid Monte Carlo and I was looking for something longer and more recent than Radford Neal's well-known paper on the subject.

The HMC portion of the book was pretty thorough but riddled with spelling and grammatical errors in the text, enough that I became suspicious that this was a draft that had seen only one or two casual QA/editing passes. That led me to suspect there might be errors in the math, which drive me crazy -- nothing frustrates me more than spending a lot of time trying to understand a set of equations before realizing there's a typo in them.

If you're looking for a book that covers a topic that others don't, it's probably worth getting, especially if you're really comfortable with the math, but I wouldn't recommend as a general introduction to Monte Carlo methods.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
partial resampling, sequential importance sampler, sequential imputation method, data augmentation scheme, independence sampler, multicanonical sampling, data augmentation algorithm, marginal chains, bootstrap filter, suppose the current state, auxiliary distributions, dynamic weighting, proposal chain, resampling step, target distribution, simulated tempering, trial density, multipoint method, alignment variable, sequential importance sampling, trial distribution, missing data problems, rejection control, proposal function, maximal correlation
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Lag Series, Advanced Importance Sampling Techniques, Comparison of Metropolis-Type Algorithms, Courtesy of Professors, Covariance Structures of the Gibbs Sampler, Metropolized Gibbs, Prove Theorem
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