[PDF] Sampling And Resampling An Efficient Approximation To Jackknife Variance Estimators eBook

Author : Jun Shao
Publisher : Springer Science & Business Media
Page : 533 pages
File Size : 38,88 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461207959

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The jackknife and bootstrap are the most popular data-resampling meth ods used in statistical analysis. The resampling methods replace theoreti cal derivations required in applying traditional methods (such as substitu tion and linearization) in statistical analysis by repeatedly resampling the original data and making inferences from the resamples. Because of the availability of inexpensive and fast computing, these computer-intensive methods have caught on very rapidly in recent years and are particularly appreciated by applied statisticians. The primary aims of this book are (1) to provide a systematic introduction to the theory of the jackknife, the bootstrap, and other resampling methods developed in the last twenty years; (2) to provide a guide for applied statisticians: practitioners often use (or misuse) the resampling methods in situations where no theoretical confirmation has been made; and (3) to stimulate the use of the jackknife and bootstrap and further devel opments of the resampling methods. The theoretical properties of the jackknife and bootstrap methods are studied in this book in an asymptotic framework. Theorems are illustrated by examples. Finite sample properties of the jackknife and bootstrap are mostly investigated by examples and/or empirical simulation studies. In addition to the theory for the jackknife and bootstrap methods in problems with independent and identically distributed (Li.d.) data, we try to cover, as much as we can, the applications of the jackknife and bootstrap in various complicated non-Li.d. data problems.

Author : Michael R. Chernick
Publisher : John Wiley & Sons
Page : 337 pages
File Size : 36,13 MB
Release : 2011-09-23
Category : Mathematics
ISBN : 1118211596

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A practical and accessible introduction to the bootstrap method——newly revised and updated Over the past decade, the application of bootstrap methods to new areas of study has expanded, resulting in theoretical and applied advances across various fields. Bootstrap Methods, Second Edition is a highly approachable guide to the multidisciplinary, real-world uses of bootstrapping and is ideal for readers who have a professional interest in its methods, but are without an advanced background in mathematics. Updated to reflect current techniques and the most up-to-date work on the topic, the Second Edition features: The addition of a second, extended bibliography devoted solely to publications from 1999–2007, which is a valuable collection of references on the latest research in the field A discussion of the new areas of applicability for bootstrap methods, including use in the pharmaceutical industry for estimating individual and population bioequivalence in clinical trials A revised chapter on when and why bootstrap fails and remedies for overcoming these drawbacks Added coverage on regression, censored data applications, P-value adjustment, ratio estimators, and missing data New examples and illustrations as well as extensive historical notes at the end of each chapter With a strong focus on application, detailed explanations of methodology, and complete coverage of modern developments in the field, Bootstrap Methods, Second Edition is an indispensable reference for applied statisticians, engineers, scientists, clinicians, and other practitioners who regularly use statistical methods in research. It is also suitable as a supplementary text for courses in statistics and resampling methods at the upper-undergraduate and graduate levels.

Author : Federico Perali
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 47,11 MB
Release : 2013-06-29
Category : Business & Economics
ISBN : 1475737297

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The motive force of human activity that propels the stream of progress is here caught at its source, in its most modest, material expressions. The mechanism of the passions acting as determinant in these low spheres is less complex and can therefore be observed with greater precision. All one need do is leave the picture its clear, calm colors and its simple design. Gradually, as that search for material well-being by which man is tormented grows and expand, it also tends to rise and pursue an ascendant course thorough the social classes. In 'I Malavoglia' it is still only the struggle for material needs. Once these needs are satisfied, the search turns into greed for riches and will be embedded in a bourgeois type . . . Giovanni Verga, from the Introduction to The House by the Medlar Tree (I Malavoglia) Motivation In the past decade, many less developed countries have undertaken structural adjustment programs with the hope of breaking the vicious circle of the depression that enveloped them during the 1980s and of loosening the suffocating grip of the debt crisis. Nearly always, macroeconomic stabilization implies a reduction of public spending and, consequently, a reduction of subsidies on wage goods and food production. Other macro policies, such as tariff elimination and exchange rates alignment, alter relative prices and may have significant effects on the level and distribution of income. Today, poverty and inequality are perceived as economic threats as a result of globalization and unbalanced market expansion.

Author : S. N. Lahiri
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 48,8 MB
Release : 2003-08-07
Category : Mathematics
ISBN : 9780387009285

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"The book can be used as a graduate-level text for a special topics course on resampling methods for dependent data and also as a research monograph for statisticians and econometricians who want to learn more about the topic and want to apply the methods in their own research."--BOOK JACKET.

Author : Dimitris N. Politis
Publisher : Springer Science & Business Media
Page : 359 pages
File Size : 30,98 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461215544

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Since Efron's profound paper on the bootstrap, an enormous amount of effort has been spent on the development of bootstrap, jacknife, and other resampling methods. The primary goal of these computer-intensive methods has been to provide statistical tools that work in complex situations without imposing unrealistic or unverifiable assumptions about the data generating mechanism. This book sets out to lay some of the foundations for subsampling methodology and related methods.