Recent Advances In Functional Data Analysis And Related Topics

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Recent Advances in Functional Data Analysis and Related Topics

Frédéric Ferraty
Recent Advances in Functional Data Analysis and Related Topics Book PDF

Author : Frédéric Ferraty
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 47,9 Mb
Release : 2011-06-15
Category : Mathematics
ISBN : 9783790827361

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Recent Advances in Functional Data Analysis and Related Topics by Frédéric Ferraty Pdf

New technologies allow us to handle increasingly large datasets, while monitoring devices are becoming ever more sophisticated. This high-tech progress produces statistical units sampled over finer and finer grids. As the measurement points become closer, the data can be considered as observations varying over a continuum. This intrinsic continuous data (called functional data) can be found in various fields of science, including biomechanics, chemometrics, econometrics, environmetrics, geophysics, medicine, etc. The failure of standard multivariate statistics to analyze such functional data has led the statistical community to develop appropriate statistical methodologies, called Functional Data Analysis (FDA). Today, FDA is certainly one of the most motivating and popular statistical topics due to its impact on crucial societal issues (health, environment, etc). This is why the FDA statistical community is rapidly growing, as are the statistical developments . Therefore, it is necessary to organize regular meetings in order to provide a state-of-art review of the recent advances in this fascinating area. This book collects selected and extended papers presented at the second International Workshop of Functional and Operatorial Statistics (Santander, Spain, 16-18 June, 2011), in which many outstanding experts on FDA will present the most relevant advances in this pioneering statistical area. Undoubtedly, these proceedings will be an essential resource for academic researchers, master students, engineers, and practitioners not only in statistics but also in numerous related fields of application.

Recent Advances in Functional Data Analysis and Related Topics

Frédéric Ferraty
Recent Advances in Functional Data Analysis and Related Topics Book PDF

Author : Frédéric Ferraty
Publisher : Physica
Page : 322 pages
File Size : 46,5 Mb
Release : 2013-08-03
Category : Mathematics
ISBN : 3790828335

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Recent Advances in Functional Data Analysis and Related Topics by Frédéric Ferraty Pdf

New technologies allow us to handle increasingly large datasets, while monitoring devices are becoming ever more sophisticated. This high-tech progress produces statistical units sampled over finer and finer grids. As the measurement points become closer, the data can be considered as observations varying over a continuum. This intrinsic continuous data (called functional data) can be found in various fields of science, including biomechanics, chemometrics, econometrics, environmetrics, geophysics, medicine, etc. The failure of standard multivariate statistics to analyze such functional data has led the statistical community to develop appropriate statistical methodologies, called Functional Data Analysis (FDA). Today, FDA is certainly one of the most motivating and popular statistical topics due to its impact on crucial societal issues (health, environment, etc). This is why the FDA statistical community is rapidly growing, as are the statistical developments . Therefore, it is necessary to organize regular meetings in order to provide a state-of-art review of the recent advances in this fascinating area. This book collects selected and extended papers presented at the second International Workshop of Functional and Operatorial Statistics (Santander, Spain, 16-18 June, 2011), in which many outstanding experts on FDA will present the most relevant advances in this pioneering statistical area. Undoubtedly, these proceedings will be an essential resource for academic researchers, master students, engineers, and practitioners not only in statistics but also in numerous related fields of application.

Introduction to Functional Data Analysis

Piotr Kokoszka,Matthew Reimherr
Introduction to Functional Data Analysis Book PDF

Author : Piotr Kokoszka,Matthew Reimherr
Publisher : CRC Press
Page : 311 pages
File Size : 47,7 Mb
Release : 2017-09-27
Category : Mathematics
ISBN : 9781498746694

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Introduction to Functional Data Analysis by Piotr Kokoszka,Matthew Reimherr Pdf

Introduction to Functional Data Analysis provides a concise textbook introduction to the field. It explains how to analyze functional data, both at exploratory and inferential levels. It also provides a systematic and accessible exposition of the methodology and the required mathematical framework. The book can be used as textbook for a semester-long course on FDA for advanced undergraduate or MS statistics majors, as well as for MS and PhD students in other disciplines, including applied mathematics, environmental science, public health, medical research, geophysical sciences and economics. It can also be used for self-study and as a reference for researchers in those fields who wish to acquire solid understanding of FDA methodology and practical guidance for its implementation. Each chapter contains plentiful examples of relevant R code and theoretical and data analytic problems. The material of the book can be roughly divided into four parts of approximately equal length: 1) basic concepts and techniques of FDA, 2) functional regression models, 3) sparse and dependent functional data, and 4) introduction to the Hilbert space framework of FDA. The book assumes advanced undergraduate background in calculus, linear algebra, distributional probability theory, foundations of statistical inference, and some familiarity with R programming. Other required statistics background is provided in scalar settings before the related functional concepts are developed. Most chapters end with references to more advanced research for those who wish to gain a more in-depth understanding of a specific topic.

Geostatistical Functional Data Analysis

Jorge Mateu,Ramon Giraldo
Geostatistical Functional Data Analysis Book PDF

Author : Jorge Mateu,Ramon Giraldo
Publisher : John Wiley & Sons
Page : 448 pages
File Size : 47,5 Mb
Release : 2021-11-16
Category : Social Science
ISBN : 9781119387886

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Geostatistical Functional Data Analysis by Jorge Mateu,Ramon Giraldo Pdf

Geostatistical Functional Data Analysis Explore the intersection between geostatistics and functional data analysis with this insightful new reference Geostatistical Functional Data Analysis presents a unified approach to modelling functional data when spatial and spatio-temporal correlations are present. The Editors link together the wide research areas of geostatistics and functional data analysis to provide the reader with a new area called geostatistical functional data analysis that will bring new insights and new open questions to researchers coming from both scientific fields. This book provides a complete and up-to-date account to deal with functional data that is spatially correlated, but also includes the most innovative developments in different open avenues in this field. Containing contributions from leading experts in the field, this practical guide provides readers with the necessary tools to employ and adapt classic statistical techniques to handle spatial regression. The book also includes: A thorough introduction to the spatial kriging methodology when working with functions A detailed exposition of more classical statistical techniques adapted to the functional case and extended to handle spatial correlations Practical discussions of ANOVA, regression, and clustering methods to explore spatial correlation in a collection of curves sampled in a region In-depth explorations of the similarities and differences between spatio-temporal data analysis and functional data analysis Aimed at mathematicians, statisticians, postgraduate students, and researchers involved in the analysis of functional and spatial data, Geostatistical Functional Data Analysis will also prove to be a powerful addition to the libraries of geoscientists, environmental scientists, and economists seeking insightful new knowledge and questions at the interface of geostatistics and functional data analysis.

New Statistical Developments in Data Science

Alessandra Petrucci,Filomena Racioppi,Rosanna Verde
New Statistical Developments in Data Science Book PDF

Author : Alessandra Petrucci,Filomena Racioppi,Rosanna Verde
Publisher : Springer Nature
Page : 479 pages
File Size : 44,9 Mb
Release : 2019-08-20
Category : Computers
ISBN : 9783030211585

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New Statistical Developments in Data Science by Alessandra Petrucci,Filomena Racioppi,Rosanna Verde Pdf

This volume collects the extended versions of papers presented at the SIS Conference “Statistics and Data Science: new challenges, new generations”, held in Florence, Italy on June 28-30, 2017. Highlighting the central role of statistics and data analysis methods in the era of Data Science, the contributions offer an essential overview of the latest developments in various areas of statistics research. The 35 contributions have been divided into six parts, each of which focuses on a core area contributing to “Data Science”. The book covers topics including strong statistical methodologies, Bayesian approaches, applications in population and social studies, studies in economics and finance, techniques of sample design and mathematical statistics. Though the book is mainly intended for researchers interested in the latest frontiers of Statistics and Data Analysis, it also offers valuable supplementary material for students of the disciplines dealt with here. Lastly, it will help Statisticians and Data Scientists recognize their counterparts’ fundamental role.

Contributions in infinite-dimensional statistics and related topics

Enea G. Bongiorno,Ernesto Salinelli,Aldo Goia,Philippe Vieu
Contributions in infinite dimensional statistics and related topics Book PDF

Author : Enea G. Bongiorno,Ernesto Salinelli,Aldo Goia,Philippe Vieu
Publisher : Società Editrice Esculapio
Page : 300 pages
File Size : 45,8 Mb
Release : 2014-05-21
Category : Mathematics
ISBN : 9788874887637

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Contributions in infinite-dimensional statistics and related topics by Enea G. Bongiorno,Ernesto Salinelli,Aldo Goia,Philippe Vieu Pdf

The interest towards Functional and Operatorial Statistics, and, more in general, towards infinite-dimensional statistics has dramatically increased in the statistical community and in many other applied scientific areas where people faces functional data. This volume collects the works selected and presented at the Third Edition of the International Workshop on Functional and Operatorial Statistics held in Stresa, Italy, from the 19th to the 21st of June 2014 (IWFOS’2014). The meeting represents an opportunity of bringing together leading researchers active on these topics both for what concerns theoretical aspects and a wide range of applications in various fields. To promote collaborations with other important strictly related areas of infinite-dimensional Statistics, such as High Dimensional Statistics and Model Selection Procedures, this book hosts works in the latter research subjects too.

Inference for Functional Data with Applications

Lajos Horváth,Piotr Kokoszka
Inference for Functional Data with Applications Book PDF

Author : Lajos Horváth,Piotr Kokoszka
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 48,7 Mb
Release : 2012-05-08
Category : Mathematics
ISBN : 9781461436553

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Inference for Functional Data with Applications by Lajos Horváth,Piotr Kokoszka Pdf

This book presents recently developed statistical methods and theory required for the application of the tools of functional data analysis to problems arising in geosciences, finance, economics and biology. It is concerned with inference based on second order statistics, especially those related to the functional principal component analysis. While it covers inference for independent and identically distributed functional data, its distinguishing feature is an in depth coverage of dependent functional data structures, including functional time series and spatially indexed functions. Specific inferential problems studied include two sample inference, change point analysis, tests for dependence in data and model residuals and functional prediction. All procedures are described algorithmically, illustrated on simulated and real data sets, and supported by a complete asymptotic theory. The book can be read at two levels. Readers interested primarily in methodology will find detailed descriptions of the methods and examples of their application. Researchers interested also in mathematical foundations will find carefully developed theory. The organization of the chapters makes it easy for the reader to choose an appropriate focus. The book introduces the requisite, and frequently used, Hilbert space formalism in a systematic manner. This will be useful to graduate or advanced undergraduate students seeking a self-contained introduction to the subject. Advanced researchers will find novel asymptotic arguments.

Generalized Structured Component Analysis

Heungsun Hwang,Yoshio Takane
Generalized Structured Component Analysis Book PDF

Author : Heungsun Hwang,Yoshio Takane
Publisher : CRC Press
Page : 342 pages
File Size : 55,6 Mb
Release : 2014-12-11
Category : Mathematics
ISBN : 9781466592957

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Generalized Structured Component Analysis by Heungsun Hwang,Yoshio Takane Pdf

Winner of the 2015 Sugiyama Meiko Award (Publication Award) of the Behaviormetric Society of JapanDeveloped by the authors, generalized structured component analysis is an alternative to two longstanding approaches to structural equation modeling: covariance structure analysis and partial least squares path modeling. Generalized structured componen

Fuzzy Systems and Data Mining VI

A.J. Tallón-Ballesteros
Fuzzy Systems and Data Mining VI Book PDF

Author : A.J. Tallón-Ballesteros
Publisher : IOS Press
Page : 812 pages
File Size : 54,5 Mb
Release : 2020-11-13
Category : Computers
ISBN : 9781643681351

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Fuzzy Systems and Data Mining VI by A.J. Tallón-Ballesteros Pdf

The interdisciplinary field of fuzzy logic encompass applications in the electrical, industrial, chemical and engineering realms as well as in areas of management and environmental issues, while data mining covers new approaches to big data, massive data, and scalable, parallel and distributed algorithms. This book presents papers from the 6th International Conference on Fuzzy Systems and Data Mining (FSDM 2020). The conference was originally due to be held from 13-16 November 2020 in Xiamen, China, but was changed to an online conference held on the same dates due to ongoing restrictions connected with the COVID-19 pandemic. The annual FSDM conference provides a platform for knowledge exchange between international experts, researchers academics and delegates from industry. This year, the committee received 316 submissions, of which 76 papers were selected for inclusion in the conference; an acceptance rate of 24%. The conference covers four main areas: fuzzy theory; algorithms and systems, which includes topics like stability; foundations and control; and fuzzy applications, which are widely used and cover various types of processing as well as hardware and architecture for big data and time series. Providing a current overview of research and developments in fuzzy logic and data mining, the book will be of interest to all those working in the field of data science.

Decision Making in Social Sciences: Between Traditions and Innovations

Daniel Flaut,Šárka Hošková-Mayerová,Cristina Ispas,Fabrizio Maturo,Cristina Flaut
Decision Making in Social Sciences Between Traditions and Innovations Book PDF

Author : Daniel Flaut,Šárka Hošková-Mayerová,Cristina Ispas,Fabrizio Maturo,Cristina Flaut
Publisher : Springer Nature
Page : 535 pages
File Size : 48,7 Mb
Release : 2019-11-28
Category : Technology & Engineering
ISBN : 9783030306595

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Decision Making in Social Sciences: Between Traditions and Innovations by Daniel Flaut,Šárka Hošková-Mayerová,Cristina Ispas,Fabrizio Maturo,Cristina Flaut Pdf

This book explores several branches of the social sciences and their perspectives regarding their relations with decision-making processes: computer science, education, linguistics, sociology, and management. The decision-making process in social contexts is based on the analysis of sound alternatives using evaluative criteria. Therefore, this process is one that can be rational or irrational, and can be based on knowledge and/or beliefs. A decision-making process always produces a final decision, which may or may not imply prompt action, and increases the chances of choosing the best possible alternative. The book is divided into four main parts. The concepts covered in the first part, on computer science, explore how the rise of algorithms and the growth in computing power over the years can influence decision-making processes. In the second part, some traditional and innovative ideas and methods used in education are presented: compulsory schooling, inclusive schools, higher education, etc. In turn, the third part focuses on linguistics aspects, and examines how progress is manifested in language. The fourth part, on sociology, explores how society can be influenced by social norms, human interactions, culture, and religion. Management, regarded as a science of the decision-making process, is explored in the last part of this book. Selected organizations’ strategies, objectives and resources are presented, e.g., human resources, financial resources, and technological resources. The book gathers and presents, in a concise format, a broad range of aspects regarding the decision-making process in social contexts, making it a valuable and unique resource for the scientific community.

Complex Models and Computational Methods in Statistics

Matteo Grigoletto,Francesco Lisi,Sonia Petrone
Complex Models and Computational Methods in Statistics Book PDF

Author : Matteo Grigoletto,Francesco Lisi,Sonia Petrone
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 50,8 Mb
Release : 2013-01-26
Category : Mathematics
ISBN : 9788847028715

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Complex Models and Computational Methods in Statistics by Matteo Grigoletto,Francesco Lisi,Sonia Petrone Pdf

The use of computational methods in statistics to face complex problems and highly dimensional data, as well as the widespread availability of computer technology, is no news. The range of applications, instead, is unprecedented. As often occurs, new and complex data types require new strategies, demanding for the development of novel statistical methods and suggesting stimulating mathematical problems. This book is addressed to researchers working at the forefront of the statistical analysis of complex systems and using computationally intensive statistical methods.

Topics in Nonparametric Statistics

Michael G. Akritas,S. N. Lahiri,Dimitris N. Politis
Topics in Nonparametric Statistics Book PDF

Author : Michael G. Akritas,S. N. Lahiri,Dimitris N. Politis
Publisher : Springer
Page : 369 pages
File Size : 55,9 Mb
Release : 2014-12-02
Category : Mathematics
ISBN : 9781493905690

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Topics in Nonparametric Statistics by Michael G. Akritas,S. N. Lahiri,Dimitris N. Politis Pdf

This volume is composed of peer-reviewed papers that have developed from the First Conference of the International Society for Non Parametric Statistics (ISNPS). This inaugural conference took place in Chalkidiki, Greece, June 15-19, 2012. It was organized with the co-sponsorship of the IMS, the ISI and other organizations. M.G. Akritas, S.N. Lahiri and D.N. Politis are the first executive committee members of ISNPS and the editors of this volume. ISNPS has a distinguished Advisory Committee that includes Professors R.Beran, P.Bickel, R. Carroll, D. Cook, P. Hall, R. Johnson, B. Lindsay, E. Parzen, P. Robinson, M. Rosenblatt, G. Roussas, T. SubbaRao and G. Wahba. The Charting Committee of ISNPS consists of more than 50 prominent researchers from all over the world. The chapters in this volume bring forth recent advances and trends in several areas of nonparametric statistics. In this way, the volume facilitates the exchange of research ideas, promotes collaboration among researchers from all over the world and contributes to the further development of the field. The conference program included over 250 talks, including special invited talks, plenary talks and contributed talks on all areas of nonparametric statistics. Out of these talks, some of the most pertinent ones have been refereed and developed into chapters that share both research and developments in the field.

Kernel Smoothing in MATLAB

Ivanka Horova,Jan Kolacek,Jiri Zelinka
Kernel Smoothing in MATLAB Book PDF

Author : Ivanka Horova,Jan Kolacek,Jiri Zelinka
Publisher : World Scientific
Page : 242 pages
File Size : 42,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814405492

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Kernel Smoothing in MATLAB by Ivanka Horova,Jan Kolacek,Jiri Zelinka Pdf

Methods of kernel estimates represent one of the most effective nonparametric smoothing techniques. These methods are simple to understand and they possess very good statistical properties. This book provides a concise and comprehensive overview of statistical theory and in addition, emphasis is given to the implementation of presented methods in Matlab. All created programs are included in a special toolbox which is an integral part of the book. This toolbox contains many Matlab scripts useful for kernel smoothing of density, cumulative distribution function, regression function, hazard function, indices of quality and bivariate density. Specifically, methods for choosing a choice of the optimal bandwidth and a special procedure for simultaneous choice of the bandwidth, the kernel and its order are implemented. The toolbox is divided into six parts according to the chapters of the book.All scripts are included in a user interface and it is easy to manipulate with this interface. Each chapter of the book contains a detailed help for the related part of the toolbox too. This book is intended for newcomers to the field of smoothing techniques and would also be appropriate for a wide audience: advanced graduate, PhD students and researchers from both the statistical science and interface disciplines.

Functional Data Analysis

James Ramsay,B. W. Silverman
Functional Data Analysis Book PDF

Author : James Ramsay,B. W. Silverman
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 46,6 Mb
Release : 2005-06-08
Category : Mathematics
ISBN : 038740080X

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Functional Data Analysis by James Ramsay,B. W. Silverman Pdf

This is the second edition of a highly succesful book which has sold nearly 3000 copies world wide since its publication in 1997. Many chapters will be rewritten and expanded due to a lot of progress in these areas since the publication of the first edition. Bernard Silverman is the author of two other books, each of which has lifetime sales of more than 4000 copies. He has a great reputation both as a researcher and an author. This is likely to be the bestselling book in the Springer Series in Statistics for a couple of years.

Sensory Discrimination Tests and Measurements

Jian Bi
Sensory Discrimination Tests and Measurements Book PDF

Author : Jian Bi
Publisher : John Wiley & Sons
Page : 560 pages
File Size : 45,6 Mb
Release : 2015-08-19
Category : Technology & Engineering
ISBN : 9781118994856

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Sensory Discrimination Tests and Measurements by Jian Bi Pdf

Sensory testing and measurement are the main functions of sensory analysis. In recent years, the sensory and consumer field has evolved to include both difference testing and similarity testing, and new sensory discrimination methods such as the tetrads have received more attention in the literature. This second edition of Sensory Discrimination Tests and Measurements is updated throughout and responds to these changes and includes: A wide range of sensory measurements: Measurements of sensory effect (d', R-index and Gini-index); Measurements of performance of trained sensory panel (Intraclass correlation coefficients and Cronbachs coefficient alpha); Measurements of relative importance of correlated sensory and consumer attributes (drivers of consumer liking or purchase intent); Measurements of consumer emotions and psychographics; Measurements of time-intensity; Measurements of sensory thresholds; Measurements of sensory risk with negative sensory effects (Benchmark Dose, BMD, methodology) Measurements of sensory shelf life (SSL). A balanced introduction of sensory discrimination tests including difference tests and similarity tests. Bayesian approach to sensory discrimination tests. Modified and multiple-sample discrimination tests. Replicated discrimination tests using the beta-binomial (BB), corrected beta-binomial (CBB), and Dirichlet-multinomial (DM) models. Sensory discrimination methods including the tetrads and the M+N. R and S-Plus codes for all the measurements and tests introduced in the book. Mainly intended for researchers and practitioners in the sensory and consumer field, the book is a useful reference for modern sensory analysis and consumer research, especially for sensometrics.