Influence Functions And Matrices
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Influence Functions And Matrices
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Author : Yuri Melnikov
language : en
Publisher: Routledge
Release Date : 2017-10-05
Influence Functions And Matrices written by Yuri Melnikov and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Science categories.
""Analyzes a wide range of problem classes originating in applied mechanics, stressing the use of influence (Green's) functions in their analysis. Provides an extensive list of influence functions and matrices-several in print for the first time. Addresses areas such as fluid flow, acoustics, electromagnetism, heat transfer, and elasticity.
Application Of Influence Function In Sufficient Dimension Reduction Models
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Author : Prabha Shrestha
language : en
Publisher:
Release Date : 2020
Application Of Influence Function In Sufficient Dimension Reduction Models written by Prabha Shrestha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Dimension reduction (Statistics) categories.
In regression analysis, sufficient dimension reduction (SDR) models have gained significant popularity in the past three decades. While many methods have been proposed in the literature regarding the analysis of SDR models, the vast majority are of the type called inverse regression methods, pioneered by the sliced inverse regression method (Li \cite{Li91}). Most of these inverse regression methods rely on a matrix, commonly known as the central matrix. One of the main goals of the analysis of SDR models is the estimation of the central space. An influence function (IF) is a tool that analyzes the performance of a statistical estimator. In this dissertation, we focus on the application of IF on the analysis of SDR models. There are various inverse regression methods in existence. But none of them stands out in all cases, and it is not clear which central matrix one should use out of numerous options existing in the literature. We propose an IF-based approach for selection of a best performing central matrix from a class of inverse regression methods, and we extend this approach to the situation where the data are partially contaminated. Asymptotic results are established, and an extensive simulation study is conducted to examine the performance of the proposed algorithm. Another issue in an SDR model is the estimation of the dimension of its central space. Based on the IF, we propose a measure that combines the eigenvalues of the central matrix and an IF measure to estimate the dimension of the central space. In addition, we analyze the IF of the functional of Benasseni's measure for a specific inverse regression method, the $k{\text-th}$ moment method.
Influence Function Approach
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Author : Y.A. Melnikov
language : en
Publisher: WIT Press
Release Date : 2008-02-07
Influence Function Approach written by Y.A. Melnikov and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-07 with Technology & Engineering categories.
Structural mechanics is the study of the effects that forces of different physical origin (mechanical, thermal, magnetic and so on) produce on elements of structures such as cables, pillars, beams, plates and shells. This text represents the first ever attempt to include in a book format a number of standard problems from structural mechanics, which are treated by means of a single mathematical approach that is novel in the field. The influence (Green's) function method constitutes the basis for this approach. The material in this volume is based on the implementation of two important notions taken from different sciences. One of them (the influence function of a point concentrated force) is brought from structural mechanics, while the other (the Green’s function of a boundary-value problem) is taken from mathematics. They are closely related to each other, and their relation represents the keystone in this text. Bringing these notions together allows us to create a single methodological approach to a variety of problems in structural mechanics, makes their analysis easier and builds up a solid foundation for some further developments in the field. In presenting the material in this text, it was presumed that the reader's background is equally solid in undergraduate mathematics and mechanics. The reader is assumed to be relatively fluent in differential and integral calculus and to possess, at the same time, workable knowledge of the fundamental principles of statics and dynamics. Each chapter contains extensive ‘end chapter exercises’ specifically developed for each chapter, with answers and comments available in the Appendix.
Robust Statistics
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Author : Frank R. Hampel
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-20
Robust Statistics written by Frank R. Hampel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Mathematics categories.
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.
Statics And Influence Functions From A Modern Perspective
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Author : Friedel Hartmann
language : en
Publisher: Springer
Release Date : 2017-03-04
Statics And Influence Functions From A Modern Perspective written by Friedel Hartmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-04 with Science categories.
The book teaches engineers many new things about a classical topic which suddenly is again in the center of interest because of its relevance for finite element analysis, for the accuracy of computational methods. It shows that influence functions play a fundamental role in the finite element analysis of structures and practically all of linear computational mechanics. It also strives to add new and important insights into modern structural analysis and into computational mechanics by establishing the central role of influence functions for the numerical analysis and to lay a new foundation to the energy and variational principles.
Influence Function And Asymptotic Efficiency Of The Affine Equivariant Rank Covariance Matrix
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Author : Esa Ollila
language : en
Publisher:
Release Date : 2002
Influence Function And Asymptotic Efficiency Of The Affine Equivariant Rank Covariance Matrix written by Esa Ollila and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Statics And Influence Functions
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Author : Friedel Hartmann
language : en
Publisher: Springer Nature
Release Date : 2020-11-25
Statics And Influence Functions written by Friedel Hartmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Science categories.
This extended and revised second edition is intended for engineering students and researchers working with finite element methods in structural and mechanical analysis. Discussing numerical structural analysis from first mechanical and mathematical principles, it establishes the central role of influence functions (Green's functions) in finite element analysis, reanalysis, sensitivity analysis, parameter identification and in optimization, with a particular focus on computational aspects and questions of accuracy. It also presents a one-click reanalysis, a new technique that allows instantaneous modifications to a structure to be made by clicking on single elements. Lastly, the book features four programs that can be downloaded for the solution of the Poisson equation, 2-D elasticity, plate-bending problems and planar frames.
Influence Functions Of The Spearman And Kendall Correlation Measures
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Author : C. Croux
language : en
Publisher:
Release Date : 2010
Influence Functions Of The Spearman And Kendall Correlation Measures written by C. Croux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Adaptive Optics For Vision Science
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Author : Jason Porter
language : en
Publisher: John Wiley & Sons
Release Date : 2006-06-12
Adaptive Optics For Vision Science written by Jason Porter and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-12 with Science categories.
Leading experts present the latest technology and applications in adaptive optics for vision science Featuring contributions from the foremost researchers in the field, Adaptive Optics for Vision Science is the first book devoted entirely to providing the fundamentals of adaptive optics along with its practical applications in vision science. The material for this book stems from collaborations fostered by the Center for Adaptive Optics, a consortium of more than thirty universities, government laboratories, and corporations. Although the book is written primarily for researchers in vision science and ophthalmology, the field of adaptive optics has strong roots in astronomy. Researchers in both fields share this technology and, for this reason, the book includes chapters by both astronomers and vision scientists. Following the introduction, chapters are divided into the following sections: * Wavefront Measurement and Correction * Retinal Imaging Applications * Vision Correction Applications * Design Examples Readers will discover the remarkable proliferation of new applications of wavefront-related technologies developed for the human eye. For example, the book explores how wavefront sensors offer the promise of a new generation of vision correction methods that can deal with higher order aberrations beyond defocus and astigmatism, and how adaptive optics can produce images of the living retina with unprecedented resolution. An appendix includes the Optical Society of America's Standards for Reporting Optical Aberrations. A glossary of terms and a symbol table are also included. Adaptive Optics for Vision Science arms engineers, scientists, clinicians, and students with the basic concepts, engineering tools, and techniques needed to master adaptive optics applications in vision science and ophthalmology. Moreover, readers will discover the latest thinking and findings from the leading innovators in the field.
Modified Influence Function Method Mif For Weapn Separation Prediction
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Author : Mark A. Pinney
language : en
Publisher:
Release Date : 1994
Modified Influence Function Method Mif For Weapn Separation Prediction written by Mark A. Pinney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Airplanes, Military categories.