General Saddlepoint Approximations with Applications to L-Statistics

General Saddlepoint Approximations with Applications to L-Statistics
Author: G. S. Easton
Publisher:
Total Pages: 29
Release: 1984
Genre:
ISBN:

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Saddlepoint approximations are extended to general statistics. The technique is applied to derive approximations to the density of linear combinations of order statistics, including trimmed means. A comparison with exact results shows the accuracy of these approximations even in very small sample sizes. (Author).

Saddlepoint Approximations with Applications

Saddlepoint Approximations with Applications
Author: Ronald W. Butler
Publisher: Cambridge University Press
Total Pages: 548
Release: 2007-08-16
Genre: Mathematics
ISBN: 1139466518

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Modern statistical methods use complex, sophisticated models that can lead to intractable computations. Saddlepoint approximations can be the answer. Written from the user's point of view, this book explains in clear language how such approximate probability computations are made, taking readers from the very beginnings to current applications. The core material is presented in chapters 1-6 at an elementary mathematical level. Chapters 7-9 then give a highly readable account of higher-order asymptotic inference. Later chapters address areas where saddlepoint methods have had substantial impact: multivariate testing, stochastic systems and applied probability, bootstrap implementation in the transform domain, and Bayesian computation and inference. No previous background in the area is required. Data examples from real applications demonstrate the practical value of the methods. Ideal for graduate students and researchers in statistics, biostatistics, electrical engineering, econometrics, and applied mathematics, this is both an entry-level text and a valuable reference.

Saddlepoint Approximations

Saddlepoint Approximations
Author: Jens Ledet Jensen
Publisher: Oxford University Press
Total Pages: 348
Release: 1995
Genre: Mathematics
ISBN: 9780198522959

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This book explains the ideas behind the saddlepoint approximations as well as giving a detailed mathematical description of the subject and many worked out examples.

Mathematical Statistics and Applications

Mathematical Statistics and Applications
Author: Marc Moore
Publisher: IMS
Total Pages: 532
Release: 2003
Genre: Mathematical statistics
ISBN: 9780940600577

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Breakthroughs in Statistics

Breakthroughs in Statistics
Author: Samuel Kotz
Publisher: Springer Science & Business Media
Total Pages: 576
Release: 2013-12-01
Genre: Mathematics
ISBN: 1461206677

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Volume III includes more selections of articles that have initiated fundamental changes in statistical methodology. It contains articles published before 1980 that were overlooked in the previous two volumes plus articles from the 1980's - all of them chosen after consulting many of today's leading statisticians.

Research in Progress

Research in Progress
Author:
Publisher:
Total Pages: 284
Release: 1982
Genre: Military research
ISBN:

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Kendall's Advanced Theory of Statistics, Distribution Theory

Kendall's Advanced Theory of Statistics, Distribution Theory
Author: Alan Stuart
Publisher: John Wiley & Sons
Total Pages: 709
Release: 2010-02-22
Genre: Mathematics
ISBN: 0470665300

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Kendall's Advanced Theory of Statistics and Kendall's Library of Statistics The development of modern statistical theory is reflected in the history of the late Sir Maurice Kenfall's volumes, The Advanced Theory of Statistics. This landmark publication began life as a two-volume work and grew steadily as a single-authored work until the 1950s. In this edition, there is new material on skewness and kurtosis, hazard rate distribution, the bootstrap, the evaluation of the multivariate normal integral and ratios of quadratic forms. It also includes over 200 new references, 40 new exercises, and 20 further examples in the main text.

Robust Statistics

Robust Statistics
Author: Frank R. Hampel
Publisher: John Wiley & Sons
Total Pages: 502
Release: 2011-09-20
Genre: Mathematics
ISBN: 1118150686

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The Wiley-Interscience Paperback Series consists of selectedbooks that have been made more accessible to consumers in an effortto increase global appeal and general circulation. With these newunabridged softcover volumes, Wiley hopes to extend the lives ofthese works by making them available to future generations ofstatisticians, mathematicians, and scientists. "This is a nice book containing a wealth of information, much ofit due to the authors. . . . If an instructor designing such acourse wanted a textbook, this book would be the best choiceavailable. . . . There are many stimulating exercises, and the bookalso contains an excellent index and an extensive list ofreferences." —Technometrics "[This] book should be read carefully by anyone who isinterested in dealing with statistical models in a realisticfashion." —American Scientist Introducing concepts, theory, and applications, RobustStatistics is accessible to a broad audience, avoidingallusions to high-powered mathematics while emphasizing ideas,heuristics, and background. The text covers the approach based onthe influence function (the effect of an outlier on an estimater,for example) and related notions such as the breakdown point. Italso treats the change-of-variance function, fundamental conceptsand results in the framework of estimation of a single parameter,and applications to estimation of covariance matrices andregression parameters.