Approximating Integrals via Monte Carlo and Deterministic Methods
Home > Science, Technology & Agriculture > Mechanical engineering and materials > Production and industrial engineering > Reliability engineering > Approximating Integrals via Monte Carlo and Deterministic Methods: (20 Oxford Statistical Science Series)
Approximating Integrals via Monte Carlo and Deterministic Methods: (20 Oxford Statistical Science Series)

Approximating Integrals via Monte Carlo and Deterministic Methods: (20 Oxford Statistical Science Series)


     0     
5
4
3
2
1



International Edition


X
About the Book

This book is designed to introduce graduate students and researchers to the primary methods useful for approximating integrals. The emphasis is on those methods that have been found to be of practical use, and although the focus is on approximating higher- dimensional integrals the lower-dimensional case is also covered. Included in the book are asymptotic techniques, multiple quadrature and quasi-random techniques as well as a complete development of Monte Carlo algorithms. For the Monte Carlo section importance sampling methods, variance reduction techniques and the primary Markov Chain Monte Carlo algorithms are covered. This book brings these various techniques together for the first time, and hence provides an accessible textbook and reference for researchers in a wide variety of disciplines.

Table of Contents:
1: Introduction 2: Some basic tools 3: Algorithms for sampling from distributions 4: Approximating integrals via asymptotics 5: Multiple quadrature 6: Importance sampling 7: Markov Chain methods

Review :
"Evaluating integrals that are not known in closed form is a mathematical problem that occurs with some regularity. Although many techniques exist in the statistical and mathematical literature, a single, clearly written source of information about integral approximation has not been available. For example, there are many volumes devoted to Monte Carlo methods, but these books do not cover deterministic methods. There are numerous examples and exercises in the book, making it a self-contained resource for anyone with a solid background in advanced calculus. This volume should be required reading for graduate students in mathematical statistics and is a recommended reference for scientists whose research requires the evaluation of unknown integrals." -- Richard Chechile, Journal of Mathematical Psychology, 45, 2001 "This (hardback) text is ... 'designed to introduce graduate students and researchers to the primary methods used for approximating integrals.' Topics covered include methods for sampling from standard distributions, asymptotic approximations, quadrature methods, importance sampling and Markov chain Monte Carlo (MCMC) methods. The text builds upon an earlier review paper ... and makes a valuable contribution to the area by bringing together this broad range of methods, establishing a common notation and comparing and contrasting the different approaches. ... The prose is light and very readable and the mathematics is well motivated and described, with general results presented as theorems. Thus the book is an ideal accompaniment to a relevant course as well as being an excellent reference book for those more familiar with the ideas contained therein. All in all, I would consider this book an essential addition to any library concerned with numerical integration techniques."--Biometrics "There are few general reference books on multivariate integration, and this one helps to fill such a need. ... The book includes a number of useful examples to illustrate the theory presented."--Mathematical Reviews


Best Sellers


Product Details
  • ISBN-13: 9780198502784
  • Publisher: Oxford University Press
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 21 mm
  • Width: 161 mm
  • ISBN-10: 0198502788
  • Publisher Date: 23 Mar 2000
  • Height: 241 mm
  • No of Pages: 298
  • Series Title: 20 Oxford Statistical Science Series
  • Weight: 559 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Approximating Integrals via Monte Carlo and Deterministic Methods: (20 Oxford Statistical Science Series)
Oxford University Press -
Approximating Integrals via Monte Carlo and Deterministic Methods: (20 Oxford Statistical Science Series)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Approximating Integrals via Monte Carlo and Deterministic Methods: (20 Oxford Statistical Science Series)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!