Asymptotic Theory for Bootstrap Methods in Statistics

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Publisher : Publications CRM
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Asymptotic Theory for Bootstrap Methods in Statistics by : Rudolf J. Beran

Download or read book Asymptotic Theory for Bootstrap Methods in Statistics written by Rudolf J. Beran and published by Publications CRM. This book was released on 1991 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bootstrap Methods and Their Application

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Publisher : Cambridge University Press
ISBN 13 : 9780521574716
Total Pages : 606 pages
Book Rating : 4.5/5 (747 download)

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Book Synopsis Bootstrap Methods and Their Application by : A. C. Davison

Download or read book Bootstrap Methods and Their Application written by A. C. Davison and published by Cambridge University Press. This book was released on 1997-10-28 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disk contains the library functions and documentation for use with Splus for Windows.

Asymptotic Statistics

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Publisher : Cambridge University Press
ISBN 13 : 9780521784504
Total Pages : 470 pages
Book Rating : 4.7/5 (845 download)

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Book Synopsis Asymptotic Statistics by : A. W. van der Vaart

Download or read book Asymptotic Statistics written by A. W. van der Vaart and published by Cambridge University Press. This book was released on 2000-06-19 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.

Bootstrap Methods

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Publisher : Springer Nature
ISBN 13 : 3030734803
Total Pages : 256 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Bootstrap Methods by : Gerhard Dikta

Download or read book Bootstrap Methods written by Gerhard Dikta and published by Springer Nature. This book was released on 2021-08-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compact introduction to the bootstrap method. In addition to classical results on point estimation and test theory, multivariate linear regression models and generalized linear models are covered in detail. Special attention is given to the use of bootstrap procedures to perform goodness-of-fit tests to validate model or distributional assumptions. In some cases, new methods are presented here for the first time. The text is motivated by practical examples and the implementations of the corresponding algorithms are always given directly in R in a comprehensible form. Overall, R is given great importance throughout. Each chapter includes a section of exercises and, for the more mathematically inclined readers, concludes with rigorous proofs. The intended audience is graduate students who already have a prior knowledge of probability theory and mathematical statistics.

Bootstrap Methods

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Publisher : John Wiley & Sons
ISBN 13 : 1118211596
Total Pages : 337 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Bootstrap Methods by : Michael R. Chernick

Download or read book Bootstrap Methods written by Michael R. Chernick and published by John Wiley & Sons. This book was released on 2011-09-23 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Theory of Statistics and Probability

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Publisher : Springer Science & Business Media
ISBN 13 : 0387759700
Total Pages : 726 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Asymptotic Theory of Statistics and Probability by : Anirban DasGupta

Download or read book Asymptotic Theory of Statistics and Probability written by Anirban DasGupta and published by Springer Science & Business Media. This book was released on 2008-03-07 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. The book is unique in its detailed coverage of fundamental topics. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. There is no other book in large sample theory that matches this book in coverage, exercises and examples, bibliography, and lucid conceptual discussion of issues and theorems.

The Bootstrap and Edgeworth Expansion

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Publisher : Springer Science & Business Media
ISBN 13 : 146124384X
Total Pages : 359 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Bootstrap and Edgeworth Expansion by : Peter Hall

Download or read book The Bootstrap and Edgeworth Expansion written by Peter Hall and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph addresses two quite different topics, each being able to shed light on the other. Firstly, it lays the foundation for a particular view of the bootstrap. Secondly, it gives an account of Edgeworth expansion. The first two chapters deal with the bootstrap and Edgeworth expansion respectively, while chapters 3 and 4 bring these two themes together, using Edgeworth expansion to explore and develop the properties of the bootstrap. The book is aimed at graduate level for those with some exposure to the methods of theoretical statistics. However, technical details are delayed until the last chapter such that mathematically able readers without knowledge of the rigorous theory of probability will have no trouble understanding most of the book.

When Does Bootstrap Work?

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Publisher : Springer Science & Business Media
ISBN 13 : 1461229502
Total Pages : 205 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis When Does Bootstrap Work? by : Enno Mammen

Download or read book When Does Bootstrap Work? written by Enno Mammen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Bootstrap

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Publisher : CRC Press
ISBN 13 : 9780412042317
Total Pages : 456 pages
Book Rating : 4.0/5 (423 download)

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Book Synopsis An Introduction to the Bootstrap by : Bradley Efron

Download or read book An Introduction to the Bootstrap written by Bradley Efron and published by CRC Press. This book was released on 1994-05-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics is a subject of many uses and surprisingly few effective practitioners. The traditional road to statistical knowledge is blocked, for most, by a formidable wall of mathematics. The approach in An Introduction to the Bootstrap avoids that wall. It arms scientists and engineers, as well as statisticians, with the computational techniques they need to analyze and understand complicated data sets.

The Jackknife and Bootstrap

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207959
Total Pages : 533 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Jackknife and Bootstrap by : Jun Shao

Download or read book The Jackknife and Bootstrap written by Jun Shao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Asymptotic Theory for Empirical Reliability and Concentration Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461564204
Total Pages : 177 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis An Asymptotic Theory for Empirical Reliability and Concentration Processes by : Miklos Csörgö

Download or read book An Asymptotic Theory for Empirical Reliability and Concentration Processes written by Miklos Csörgö and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mik16s Cs6rgO and David M. Mason initiated their collaboration on the topics of this book while attending the CBMS-NSF Regional Confer ence at Texas A & M University in 1981. Independently of them, Sandor Cs6rgO and Lajos Horv~th have begun their work on this subject at Szeged University. The idea of writing a monograph together was born when the four of us met in the Conference on Limit Theorems in Probability and Statistics, Veszpr~m 1982. This collaboration resulted in No. 2 of Technical Report Series of the Laboratory for Research in Statistics and Probability of Carleton University and University of Ottawa, 1983. Afterwards David M. Mason has decided to withdraw from this project. The authors wish to thank him for his contributions. In particular, he has called our attention to the reverse martingale property of the empirical process together with the associated Birnbaum-Marshall inequality (cf.,the proofs of Lemmas 2.4 and 3.2) and to the Hardy inequality (cf. the proof of part (iv) of Theorem 4.1). These and several other related remarks helped us push down the 2 moment condition to EX

Breakthroughs in Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461206677
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Breakthroughs in Statistics by : Samuel Kotz

Download or read book Breakthroughs in Statistics written by Samuel Kotz and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exploring the Limits of Bootstrap

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Publisher : John Wiley & Sons
ISBN 13 : 9780471536314
Total Pages : 462 pages
Book Rating : 4.5/5 (363 download)

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Book Synopsis Exploring the Limits of Bootstrap by : Raoul LePage

Download or read book Exploring the Limits of Bootstrap written by Raoul LePage and published by John Wiley & Sons. This book was released on 1992-04-16 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the application of bootstrap to problems that place unusual demands on the method. The bootstrap method, introduced by Bradley Efron in 1973, is a nonparametric technique for inferring the distribution of a statistic derived from a sample. Most of the papers were presented at a special meeting sponsored by the Institute of Mathematical Statistics and the Interface Foundation in May, 1990.

Microeconometrics

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Publisher : Cambridge University Press
ISBN 13 : 1139444867
Total Pages : 1058 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Microeconometrics by : A. Colin Cameron

Download or read book Microeconometrics written by A. Colin Cameron and published by Cambridge University Press. This book was released on 2005-05-09 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive treatment to date of microeconometrics, the analysis of individual-level data on the economic behavior of individuals or firms using regression methods for cross section and panel data. The book is oriented to the practitioner. A basic understanding of the linear regression model with matrix algebra is assumed. The text can be used for a microeconometrics course, typically a second-year economics PhD course; for data-oriented applied microeconometrics field courses; and as a reference work for graduate students and applied researchers who wish to fill in gaps in their toolkit. Distinguishing features of the book include emphasis on nonlinear models and robust inference, simulation-based estimation, and problems of complex survey data. The book makes frequent use of numerical examples based on generated data to illustrate the key models and methods. More substantially, it systematically integrates into the text empirical illustrations based on seven large and exceptionally rich data sets.

The Weighted Bootstrap

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Publisher : Springer Science & Business Media
ISBN 13 : 1461225329
Total Pages : 236 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Weighted Bootstrap by : Philippe Barbe

Download or read book The Weighted Bootstrap written by Philippe Barbe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTION 1) Introduction In 1979, Efron introduced the bootstrap method as a kind of universal tool to obtain approximation of the distribution of statistics. The now well known underlying idea is the following : consider a sample X of Xl ' n independent and identically distributed H.i.d.) random variables (r. v,'s) with unknown probability measure (p.m.) P . Assume we are interested in approximating the distribution of a statistical functional T(P ) the -1 nn empirical counterpart of the functional T(P) , where P n := n l:i=l aX. is 1 the empirical p.m. Since in some sense P is close to P when n is large, n • • LLd. from P and builds the empirical p.m. if one samples Xl ' ... , Xm n n -1 mn • • P T(P ) conditionally on := mn l: i =1 a • ' then the behaviour of P m n,m n n n X. 1 T(P ) should imitate that of when n and mn get large. n This idea has lead to considerable investigations to see when it is correct, and when it is not. When it is not, one looks if there is any way to adapt it.

Subsampling

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Publisher : Springer Science & Business Media
ISBN 13 : 1461215544
Total Pages : 359 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Subsampling by : Dimitris N. Politis

Download or read book Subsampling written by Dimitris N. Politis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bootstrap Methods

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Bootstrap Methods by : Michael R. Chernick

Download or read book Bootstrap Methods written by Michael R. Chernick and published by Wiley-Interscience. This book was released on 1999-09-16 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, practical treatment for professionals In less than two decades, the bootstrap has grown from an obscure object of theoretical study to a widely used resampling method with broad applications in numerous real-world situations. Bootstrap Methods: A Practitioner's Guide provides an introduction to the bootstrap for readers who have professional interest in these methods but do not have a background in advanced mathematics. It offers reliable, authoritative coverage of the bootstrap's considerable advantages as well as its drawbacks. This book updates classic texts in the field by presenting results on improved confidence set estimation, estimation of error rates in discriminant analysis, and applications to a wide variety of hypothesis testing and estimation problems. To alert readers to the limitations of the method, it exhibits counterexamples to the consistency of bootstrap methods. This book also makes connections between more traditional resampling methods and bootstrap. Outstanding special features of Bootstrap Methods include: * The most extensive and detailed bootstrap bibliography available, including more than 1,600 references * Discussions enlivened with stimulating topics such as data mining * Historical notes at the end of each chapter * Examples and explanations of when and why bootstrap is not effective Bootstrap Methods is a serious, useful, and unparalleled practical guide for professionals in engineering, the sciences, clinical medicine, and applied statistics.