Some Results for the Weighted Empirical Process Concerning the Law of the Iterated Logarithm and Weak Convergence PDF Download
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Author: Alfred Joseph Vanderzanden
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 108
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Book Description
Author: Alfred Joseph Vanderzanden
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 108
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Book Description
Author: Galen R. Shorack
Publisher: SIAM
ISBN: 0898716845
Category : Mathematics
Languages : en
Pages : 991
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Book Description
Originally published in 1986, this valuable reference provides a detailed treatment of limit theorems and inequalities for empirical processes of real-valued random variables. It also includes applications of the theory to censored data, spacings, rank statistics, quantiles, and many functionals of empirical processes, including a treatment of bootstrap methods, and a summary of inequalities that are useful for proving limit theorems. At the end of the Errata section, the authors have supplied references to solutions for 11 of the 19 Open Questions provided in the book's original edition.
Author: Hira L. Koul
Publisher: IMS
ISBN: 9780940600287
Category : Autoregression (Statistics).
Languages : en
Pages : 286
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Book Description
Author: Aad van der vaart
Publisher: Springer Science & Business Media
ISBN: 1475725450
Category : Mathematics
Languages : en
Pages : 523
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Book Description
This book explores weak convergence theory and empirical processes and their applications to many applications in statistics. Part one reviews stochastic convergence in its various forms. Part two offers the theory of empirical processes in a form accessible to statisticians and probabilists. Part three covers a range of topics demonstrating the applicability of the theory to key questions such as measures of goodness of fit and the bootstrap.
Author: A. W. van der Vaart
Publisher: Springer Nature
ISBN: 3031290402
Category : Mathematics
Languages : en
Pages : 693
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Book Description
This book provides an account of weak convergence theory, empirical processes, and their application to a wide variety of problems in statistics. The first part of the book presents a thorough treatment of stochastic convergence in its various forms. Part 2 brings together the theory of empirical processes in a form accessible to statisticians and probabilists. In Part 3, the authors cover a range of applications in statistics including rates of convergence of estimators; limit theorems for M− and Z−estimators; the bootstrap; the functional delta-method and semiparametric estimation. Most of the chapters conclude with “problems and complements.” Some of these are exercises to help the reader’s understanding of the material, whereas others are intended to supplement the text. This second edition includes many of the new developments in the field since publication of the first edition in 1996: Glivenko-Cantelli preservation theorems; new bounds on expectations of suprema of empirical processes; new bounds on covering numbers for various function classes; generic chaining; definitive versions of concentration bounds; and new applications in statistics including penalized M-estimation, the lasso, classification, and support vector machines. The approximately 200 additional pages also round out classical subjects, including chapters on weak convergence in Skorokhod space, on stable convergence, and on processes based on pseudo-observations.
Author: Hira L. Koul
Publisher: Springer Science & Business Media
ISBN: 146130055X
Category : Mathematics
Languages : en
Pages : 444
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Book Description
This book presents a unified approach for obtaining the limiting distributions of minimum distance. It discusses classes of goodness-of-t tests for fitting an error distribution in some of these models and/or fitting a regression-autoregressive function without assuming the knowledge of the error distribution. The main tool is the asymptotic equi-continuity of certain basic weighted residual empirical processes in the uniform and L2 metrics.
Author: A. Beck
Publisher: Springer
ISBN: 3540387102
Category : Mathematics
Languages : en
Pages : 337
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Book Description
Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 596
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Book Description
Author: Michael R. Kosorok
Publisher: Springer Science & Business Media
ISBN: 0387749780
Category : Mathematics
Languages : en
Pages : 482
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Book Description
Kosorok’s brilliant text provides a self-contained introduction to empirical processes and semiparametric inference. These powerful research techniques are surprisingly useful for developing methods of statistical inference for complex models and in understanding the properties of such methods. This is an authoritative text that covers all the bases, and also a friendly and gradual introduction to the area. The book can be used as research reference and textbook.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 612
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Book Description
