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Statistical Multiple Integration

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Author :
Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 225/5 ( reviews)

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Book Synopsis Statistical Multiple Integration by : Nancy Flournoy

Download or read book Statistical Multiple Integration written by Nancy Flournoy. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: High dimensional integration arises naturally in two major sub-fields of statistics: multivariate and Bayesian statistics. Indeed, the most common measures of central tendency, variation, and loss are defined by integrals over the sample space, the parameter space, or both. Recent advances in computational power have stimulated significant new advances in both Bayesian and classical multivariate statistics. In many statistical problems, however, multiple integration can be the major obstacle to solutions. This volume contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Statistical Multiple Integration, held in June 1989 at Humboldt State University in Arcata, California. The conference represents an attempt to bring together mathematicians, statisticians, and computational scientists to focus on the many important problems in statistical multiple integration. The papers document the state of the art in this area with respect to problems in statistics, potential advances blocked by problems with multiple integration, and current work directed at expanding the capability to integrate over high dimensional surfaces.

Lattice Methods for Multiple Integration

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Author :
Release : 1994
Genre : Mathematics
Kind : eBook
Book Rating : 723/5 ( reviews)

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Book Synopsis Lattice Methods for Multiple Integration by : I. H. Sloan

Download or read book Lattice Methods for Multiple Integration written by I. H. Sloan. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book devoted to lattice methods, a recently developed way of calculating multiple integrals in many variables. Multiple integrals of this kind arise in fields such as quantum physics and chemistry, statistical mechanics, Bayesian statistics and many others. Lattice methods are an effective tool when the number of integrals are large. The book begins with a review of existing methods before presenting lattice theory in a thorough, self-contained manner, with numerous illustrations and examples. Group and number theory are included, but the treatment is such that no prior knowledge is needed. Not only the theory but the practical implementation of lattice methods is covered. An algorithm is presented alongside tables not available elsewhere, which together allow the practical evaluation of multiple integrals in many variables. Most importantly, the algorithm produces an error estimate in a very efficient manner. The book also provides a fast track for readers wanting to move rapidly to using lattice methods in practical calculations. It concludes with extensive numerical tests which compare lattice methods with other methods, such as the Monte Carlo.

Statistical Multiple Integration

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Author :
Release : 1991
Genre : Bayesian statistical decision theory
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Statistical Multiple Integration by :

Download or read book Statistical Multiple Integration written by . This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Multiple Integration Via Monte Carlo Importance Sampling

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Author :
Release : 1990
Genre : Monte Carlo method
Kind : eBook
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Book Synopsis Statistical Multiple Integration Via Monte Carlo Importance Sampling by : Man-Suk Oh

Download or read book Statistical Multiple Integration Via Monte Carlo Importance Sampling written by Man-Suk Oh. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Calculus with Applications in Statistics

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Release : 2003-04-14
Genre : Mathematics
Kind : eBook
Book Rating : 628/5 ( reviews)

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Book Synopsis Advanced Calculus with Applications in Statistics by : André I. Khuri

Download or read book Advanced Calculus with Applications in Statistics written by André I. Khuri. This book was released on 2003-04-14. Available in PDF, EPUB and Kindle. Book excerpt: Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.

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