The Use Of Frames In Sampling Theory
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The Use Of Frames In Sampling Theory
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Author : Antonio García García
language : en
Publisher: Springer Nature
Release Date : 2024-07-26
The Use Of Frames In Sampling Theory written by Antonio García García and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-26 with Mathematics categories.
This book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert–Schmidt operators. In addition, the transversality of sampling theory with other mathematical fields appears, in an easy way. The first three chapters of the book can be used as an introduction to sampling theory, while the rest of the chapters are addressed to introduce the interested reader in the research on the topic.
Sampling Theory And Applications
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Author : Stephen D. Casey
language : en
Publisher: Birkhäuser
Release Date : 2020-05-01
Sampling Theory And Applications written by Stephen D. Casey and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-01 with Mathematics categories.
The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights Shannon’s profound influence on the field. The topics covered include both theory and applications, such as: Compressed sensing Non-uniform and wave sampling A-to-D conversion Finite rate of innovation Computational neuroscience Time-frequency analysis Operator theory Mobile sampling issues Sampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.
The Sage Encyclopedia Of Social Science Research Methods
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Author : Michael Lewis-Beck
language : en
Publisher: SAGE
Release Date : 2004
The Sage Encyclopedia Of Social Science Research Methods written by Michael Lewis-Beck and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Reference categories.
"This defining work will be valuable to readers and researchers in social sciences and humanities at all academic levels. As a teaching resource it will be useful to instructors and students alike and will become a standard reference source. Essential for general and academic collections."--CHOICE"Appreciative users of this volume will be students, faculty, and researchers in academic, special, and large public libraries, for whom it is recommended."--LIBRARY JOURNALSAGE Reference is proud to announce The SAGE Encyclopedia of Social Science Research Methods, a three-volume resource that is a first of its kind, developed by the leading publisher of social science research methods books and journals. This unique multi-volume reference set offers readers an all-encompassing education in the ways of social science researchers. Written to be accessible to general readers, entries do not require any advanced knowledge or experience to understand the purposes and basic principles of any of the methods. The Encyclopedia features two major types of entries: definitions, consisting of a paragraph or two, provide a quick explanation of a methodological term; and topical treatments or essays discussing the nature, history, application/example and implication of using a certain method. Also included are suggested readings and references for future study. To help provide a more complete explanation than is often achieved within the scope of a single article, key terms and concepts appear in SMALL CAPITAL LETTERSto refer readers to related terms explained elsewhere. In addition to epistemological issues that influence the nature of research questions and assumptions, The SAGE Encyclopedia of Social Science Research Methods tackles topics not normally viewed as part of social science research methodology, from philosophical issues such as poststructuralismto advanced statistical techniques. In covering the full range of qualitative and quantitative data analyses, this key reference offers an integrated approach that allows the reader to choose the most appropriate and robust techniques to apply to each situation. Many entries treat traditional topics in a novel way, stimulating both interest and new perspectives. One example is the entry Econometrics, by Professor DamodarGujarati. Following a process which many educators preach but seldom practice, Gujarati walks the reader twice through the research process from economic theory to data and models to analysis, once in principle and a second time with an example. In using the ordinary process of economic research to achieve an extraordinary impact, he leaves the reader thinking not only about methods and models but also the fundamental purpose of econometrics. Topics Covered Analysis of Variance Association and Correlation Basic Qualitative Research Basic Statistics Causal Modeling (Structural Equations) Discourse/Conversation Analysis Econometrics Epistemology Ethnography Evaluation Event History Analysis Experimental Design Factor Analysis & Related Techniques Feminist Methodology Generalized Linear Models Historical/Comparative Interviewing in Qualitative Research Latent Variable Model Life History/Biography LoglinearModels (Categorical Dependent Variables) Longitudinal Analysis Mathematics and Formal Models Measurement Level Measurement Testing & Classification Multiple Regression Multilevel Analysis Qualitative Data Analysis Sampling in Surveys Sampling in Qualitative Research Scaling Significance Testing Simple Regression Survey Design Time Series Key Features Over 900 entries arranged A to Z Each entry is written by a leading authority in the field, covering both quantitative and qualitative methods Covers all disciplines within the social sciences Contains both concise definitions and in-depth essays Three volumes and more than 1500 pages
The Use Of Frames In Sampling Theory
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Author : Antonio García García
language : en
Publisher:
Release Date : 2024
The Use Of Frames In Sampling Theory written by Antonio García García and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematical analysis categories.
This book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert-Schmidt operators. In addition, the transversality of sampling theory with other mathematical fields appears, in an easy way. The first three chapters of the book can be used as an introduction to sampling theory, while the rest of the chapters are addressed to introduce the interested reader in the research on the topic.
Sampling Theory In Fourier And Signal Analysis
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Author : John Rowland Higgins
language : en
Publisher:
Release Date : 1996
Sampling Theory In Fourier And Signal Analysis written by John Rowland Higgins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Containing important new material unavailable previously in book form, this book covers a wide variety of topics which will be great interest to applied mathematicians and engineers. Introducing the main ideas, background material is provided on Fourier analysis, Hilbert spaces, and their bases, before the book moves on to discuss more complex topics and their applications.
Sampling Theory And Practice
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Author : Changbao Wu
language : en
Publisher: Springer Nature
Release Date : 2020-05-15
Sampling Theory And Practice written by Changbao Wu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-15 with Social Science categories.
The three parts of this book on survey methodology combine an introduction to basic sampling theory, engaging presentation of topics that reflect current research trends, and informed discussion of the problems commonly encountered in survey practice. These related aspects of survey methodology rarely appear together under a single connected roof, making this book a unique combination of materials for teaching, research and practice in survey sampling. Basic knowledge of probability theory and statistical inference is assumed, but no prior exposure to survey sampling is required. The first part focuses on the design-based approach to finite population sampling. It contains a rigorous coverage of basic sampling designs, related estimation theory, model-based prediction approach, and model-assisted estimation methods. The second part stems from original research conducted by the authors as well as important methodological advances in the field during the past three decades. Topics include calibration weighting methods, regression analysis and survey weighted estimating equation (EE) theory, longitudinal surveys and generalized estimating equations (GEE) analysis, variance estimation and resampling techniques, empirical likelihood methods for complex surveys, handling missing data and non-response, and Bayesian inference for survey data. The third part provides guidance and tools on practical aspects of large-scale surveys, such as training and quality control, frame construction, choices of survey designs, strategies for reducing non-response, and weight calculation. These procedures are illustrated through real-world surveys. Several specialized topics are also discussed in detail, including household surveys, telephone and web surveys, natural resource inventory surveys, adaptive and network surveys, dual-frame and multiple frame surveys, and analysis of non-probability survey samples. This book is a self-contained introduction to survey sampling that provides a strong theoretical base with coverage of current research trends and pragmatic guidance and tools for conducting surveys.
Nonuniform Sampling
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Author : Farokh Marvasti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonuniform Sampling written by Farokh Marvasti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Our understanding of nature is often through nonuniform observations in space or time. In space, one normally observes the important features of an object, such as edges. The less important features are interpolated. History is a collection of important events that are nonuniformly spaced in time. Historians infer between events (interpolation) and politicians and stock market analysts forecast the future from past and present events (extrapolation). The 20 chapters of Nonuniform Sampling: Theory and Practice contain contributions by leading researchers in nonuniform and Shannon sampling, zero crossing, and interpolation theory. Its practical applications include NMR, seismology, speech and image coding, modulation and coding, optimal content, array processing, and digital filter design. It has a tutorial outlook for practising engineers and advanced students in science, engineering, and mathematics. It is also a useful reference for scientists and engineers working in the areas of medical imaging, geophysics, astronomy, biomedical engineering, computer graphics, digital filter design, speech and video processing, and phased array radar.
Survey Sampling Theory And Applications
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Author : Raghunath Arnab
language : en
Publisher: Academic Press
Release Date : 2017-03-08
Survey Sampling Theory And Applications written by Raghunath Arnab and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Mathematics categories.
Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey sampling. The book covers a wide spectrum of topics on the subject, including repetitive sampling over two occasions with varying probabilities, ranked set sampling, Fays method for balanced repeated replications, mirror-match bootstrap, and controlled sampling procedures. Many topics discussed here are not available in other text books. In each section, theories are illustrated with numerical examples. At the end of each chapter theoretical as well as numerical exercises are given which can help graduate students. - Covers a wide spectrum of topics on survey sampling and statistics - Serves as an ideal text for graduate students and researchers in survey sampling theory and applications - Contains material on recent developments in survey sampling not covered in other books - Illustrates theories using numerical examples and exercises
Theory Of Reproducing Kernels And Applications
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Author : Saburou Saitoh
language : en
Publisher: Springer
Release Date : 2016-10-14
Theory Of Reproducing Kernels And Applications written by Saburou Saitoh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-14 with Mathematics categories.
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among reproducing kernel Hilbert spaces are dealt with. Chapter 2 is the heart of this book.Chapter 3 is devoted to the Tikhonov regularization using the theory of reproducing kernels with applications to numerical and practical solutions of bounded linear operator equations.In Chapter 4, the numerical real inversion formulas of the Laplace transform are presented by applying the Tikhonov regularization, where the reproducing kernels play a key role in the results.Chapter 5 deals with ordinary differential equations; Chapter 6 includes many concrete results for various fundamental partial differential equations. In Chapter 7, typical integral equations are presented with discretization methods. These chapters are applications of the general theories of Chapter 3 with the purpose of practical and numerical constructions of the solutions.In Chapter 8, hot topics on reproducing kernels are presented; namely, norm inequalities, convolution inequalities, inversion of an arbitrary matrix, representations of inverse mappings, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial value problems for linear partial differential equations, and reproducing kernels are also presented. Further, new fundamental results on generalized reproducing kernels, generalized delta functions, generalized reproducing kernel Hilbert spaces, andas well, a general integral transform theory are introduced.In three Appendices, the deep theory of Akira Yamada discussing the equality problems in nonlinear norm inequalities, Yamada's unified and generalized inequalities for Opial's inequalities and the concrete and explicit integral representation of the implicit functions are presented.
Frames And Operator Theory In Analysis And Signal Processing
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Author : David R. Larson
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Frames And Operator Theory In Analysis And Signal Processing written by David R. Larson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume contains articles based on talks presented at the Special Session Frames and Operator Theory in Analysis and Signal Processing, held in San Antonio, Texas, in January of 2006.